https://users.fmf.uni-lj.si/kozak/wikiang/index.php?feed=atom&target=Kozak&title=Special%3AContributions%2FKozakJernej Kozak - User contributions [en]2026-04-22T03:38:25ZFrom Jernej KozakMediaWiki 1.17.5https://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2017-02-08T10:33:15Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/OnParametricPolynomialCircleApproximation.pdf On Parametric Polynomial Circle Approximation], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/Programi/OnParametricPolynomialCircleApproximation.nb Notebook support of the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PNSurfaces/PNsurfaces.pdf A quaternion approach to polynomial PN surfaces], Comput. Aided Geom. Des., 47 (2016), pp 172-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2016.05.007 the link].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., 41 (2015), pp. 813--832. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23 (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2017-02-08T10:29:55Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/OnParametricPolynomialCircleApproximation.pdf On Parametric Polynomial Circle Approximation], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/Programi/OnParametricPolynomialCircleApproximation.nb Notebook support of the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PNSurfaces/PNsurfaces.pdf PNSurfaces], Comput. Aided Geom. Des., 47 (2016), pp 172-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2016.05.007 the link].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., 41 (2015), pp. 813--832. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23 (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2016-03-31T10:29:51Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/OnParametricPolynomialCircleApproximation.pdf On Parametric Polynomial Circle Approximation], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/Programi/OnParametricPolynomialCircleApproximation.nb Notebook support of the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., 41 (2015), pp. 813--832. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23 (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2016-03-30T19:09:12Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/OnParametricPolynomialCircleApproximation.pdf On Parametric Polynomial Circle Approximation], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnParametricPolynomialCircleApproximation/programi/OnParametricPolynomialCircleApproximation.nb Notebook support of the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., 41 (2015), pp. 813--832. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23 (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2016-02-27T17:18:32Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., 41 (2015), pp. 813--832. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23 (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2016-01-25T08:43:58Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23, Issue 4, (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2016-01-25T08:42:30Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
<!--[[sl:Nekaj objav]]--><br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], Comput. Aided Geom. Des., 42 (2016), pp 7-22. The original publication at [http://dx.doi.org/10.1016/j.cagd.2015.12.005 the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23, Issue 4, (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2015-12-11T09:05:01Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], to appear in Comput. Aided Geom. Des. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], Journal of Numerical Mathematics, 23, Issue 4, (2015), pp. 345-360. The original publication at [http://dx.doi.org/10.1515/jnma-2015-0023 the link]<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2015-08-28T07:09:41Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revisionII.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2015-05-22T18:03:01Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revision.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2015-05-22T18:02:24Z<p>Kozak: </p>
<hr />
<div>[[en:Some publications]]<br />
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* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurvesCAGD_revision.pdf G^1 Interpolation by Rational Cubic PH Curves in R^3], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2015-05-02T19:08:25Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurves.pdf A case for spatial cubic rational PH curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/G1InterpolationByRationalCubicPHCurvesInRR3.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2014-12-18T09:00:07Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurves.pdf A case for spatial cubic rational PH curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/ACaseForSpatialCubicRationalPHCurves.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2014-11-28T16:29:11Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurves_MathComp.pdf A case for spatial cubic rational PH curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/ACaseForSpatialCubicRationalPHCurves.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], Adv. Comput. Math., ?(?), pp. ?--?. The original publication at [http://dx.doi.org/10.1007/s10444-014-9387-7 the link]. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2014-10-20T16:03:43Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurves_MathComp.pdf A case for spatial cubic rational PH curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/ACaseForSpatialCubicRationalPHCurves.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], to appear in Advances in Computational Mathematics. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2014-08-15T09:31:07Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurves_MathComp.pdf A case for spatial cubic rational PH curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/ACaseForSpatialCubicRationalPHCurves.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], submitted. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], Numer. Math. Theor. Meth. Appl. 7 (2014), pp. 374-398. The original publication at [http://dx.doi.org/10.4208/nmtma.2014.1314nm the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2014-04-13T11:00:11Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/G1InterpolationInR3ByCubicRationalPHCurves_MathComp.pdf A case for spatial cubic rational PH curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G1InterpolationInR3ByCubicRationalPHCurves/programi/ACaseForSpatialCubicRationalPHCurves.nb A mathematica notebook with polynomial definitions not included in the paper].<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], submitted. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], to appear in Numerical Mathematics: Theory, Methods and Applications.<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2014-02-02T09:30:47Z<p>Kozak: </p>
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[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], submitted. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], Comput. Aided Geom. Des., 31 (2014), pp 43–56. The original publication at [http://dx.doi.org/10.1016/j.cagd.2013.12.001 the link].<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], to appear in Numerical Mathematics: Theory, Methods and Applications.<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2014-01-29T12:32:30Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], submitted. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], to appear in Comput. Aided Geom. Des. <br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2PHDeg5/G2PHDeg5.pdf Interpolation by G^2 quintic Pythagorean-hodograph curves in R^d], to appear in Numerical Mathematics: Theory, Methods and Applications.<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2013-12-09T09:09:15Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], submitted. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], to appear in Comput. Aided Geom. Des. <br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2013-07-21T08:20:51Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/rationalRMFC/PBCurves_Advances_final.pdf Parametric curves with Pythagorean binormal], submitted. <br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], submitted. <br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], Constructive Approximation, 38 (2013), pp. 1-18. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://link.springer.com/article/10.1007%2Fs00365-013-9189-z the link].<br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2013-05-05T08:06:15Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], submitted. <br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], to appear in Journal of Numerical Mathematics. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], to appear in Constructive Approximation. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2013-02-14T17:38:12Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalPHCurves/SpatialRPH_cagd.pdf Dual representation of spatial rational PH curves], submitted. <br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], to appear in Constructive Approximation. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2013-02-12T17:05:59Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], to appear in Constructive Approximation. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2013-01-25T11:37:11Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at [http://dx.doi.org/10.1137/11083472X the link]. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_collaboratorsSome collaborators2013-01-16T10:47:00Z<p>Kozak: </p>
<hr />
<div>[[sl:Nekateri sodelavci]]<br />
* [http://www.fmf.uni-lj.si/~jaklicg/ Gašper Jaklič]<br />
* [http://www.fmf.uni-lj.si/~krajncm Marjeta Krajnc]<br />
* [http://osebje.famnit.upr.si/~vito.vitrih Vito Vitrih]<br />
* [http://valjhun.fmf.uni-lj.si/~emil Emil Žagar]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=AffiliationsAffiliations2012-09-10T12:20:41Z<p>Kozak: </p>
<hr />
<div>[[sl:Zaposlitev]]<br />
==== Forced to retire on September 30, 2012. Former affiliations: ====<br />
<br><br />
<br />
==== [http://www.uni-lj.si/ University of Ljubljana] ====<br />
* [http://www.fmf.uni-lj.si/fmfen.html Faculty of Mathematics and Physics]<br><br />
** [http://mat.fmf.uni-lj.si/index_en.php Department of Mathematics]<br />
<br />
==== [http://www.imfm.si/view?set_language=en Institute of Mathematics, Physics and Mechanics] ====<br />
* Department of Mathematics<br></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=AffiliationsAffiliations2012-09-10T12:19:46Z<p>Kozak: </p>
<hr />
<div>[[sl:Zaposlitev]]<br />
==== Forced to retire, former affiliations: ====<br />
<br><br />
<br />
==== [http://www.uni-lj.si/ University of Ljubljana] ====<br />
* [http://www.fmf.uni-lj.si/fmfen.html Faculty of Mathematics and Physics]<br><br />
** [http://mat.fmf.uni-lj.si/index_en.php Department of Mathematics]<br />
<br />
==== [http://www.imfm.si/view?set_language=en Institute of Mathematics, Physics and Mechanics] ====<br />
* Department of Mathematics<br></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2012-09-09T08:43:15Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], to appear in SIAM J. Numer. Anal. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=AffiliationsAffiliations2012-09-09T07:25:46Z<p>Kozak: </p>
<hr />
<div>[[sl:Zaposlitev]]<br />
==== Retired, former affiliations: ====<br />
<br><br />
<br />
==== [http://www.uni-lj.si/ University of Ljubljana] ====<br />
* [http://www.fmf.uni-lj.si/fmfen.html Faculty of Mathematics and Physics]<br><br />
** [http://mat.fmf.uni-lj.si/index_en.php Department of Mathematics]<br />
<br />
==== [http://www.imfm.si/view?set_language=en Institute of Mathematics, Physics and Mechanics] ====<br />
* Department of Mathematics<br></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=AffiliationsAffiliations2012-09-09T07:25:13Z<p>Kozak: </p>
<hr />
<div>[[sl:Zaposlitev]]<br />
==== Retired, former affiliations: ====<br />
<br />
<br />
==== [http://www.uni-lj.si/ University of Ljubljana] ====<br />
* [http://www.fmf.uni-lj.si/fmfen.html Faculty of Mathematics and Physics]<br><br />
** [http://mat.fmf.uni-lj.si/index_en.php Department of Mathematics]<br />
<br />
==== [http://www.imfm.si/view?set_language=en Institute of Mathematics, Physics and Mechanics] ====<br />
* Department of Mathematics<br></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=AffiliationsAffiliations2012-09-09T07:24:37Z<p>Kozak: </p>
<hr />
<div>[[sl:Zaposlitev]]<br />
==== Retired, former affiliations: ====<br />
<br />
==== [http://www.uni-lj.si/ University of Ljubljana] ====<br />
* [http://www.fmf.uni-lj.si/fmfen.html Faculty of Mathematics and Physics]<br><br />
** [http://mat.fmf.uni-lj.si/index_en.php Department of Mathematics]<br />
<br />
==== [http://www.imfm.si/view?set_language=en Institute of Mathematics, Physics and Mechanics] ====<br />
* Department of Mathematics<br></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=AffiliationsAffiliations2012-09-09T07:23:48Z<p>Kozak: </p>
<hr />
<div>[[sl:Zaposlitev]]<br />
==== Retired ====<br />
----<br />
Former affiliations:<br />
<br />
==== [http://www.uni-lj.si/ University of Ljubljana] ====<br />
* [http://www.fmf.uni-lj.si/fmfen.html Faculty of Mathematics and Physics]<br><br />
** [http://mat.fmf.uni-lj.si/index_en.php Department of Mathematics]<br />
<br />
==== [http://www.imfm.si/view?set_language=en Institute of Mathematics, Physics and Mechanics] ====<br />
* Department of Mathematics<br></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=AffiliationsAffiliations2012-09-09T07:22:29Z<p>Kozak: </p>
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<div>[[sl:Zaposlitev]]<br />
==== Retired ====<br />
----<br />
Former affiliations<br />
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==== [http://www.uni-lj.si/ University of Ljubljana] ====<br />
* [http://www.fmf.uni-lj.si/fmfen.html Faculty of Mathematics and Physics]<br><br />
** [http://mat.fmf.uni-lj.si/index_en.php Department of Mathematics]<br />
<br />
==== [http://www.imfm.si/view?set_language=en Institute of Mathematics, Physics and Mechanics] ====<br />
* Department of Mathematics<br></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=AffiliationsAffiliations2012-09-09T07:21:39Z<p>Kozak: </p>
<hr />
<div>[[sl:Zaposlitev]]<br />
==== Retired ====<br />
----<br />
Former affiliations<br />
----<br />
<br />
==== [http://www.uni-lj.si/ University of Ljubljana] ====<br />
* [http://www.fmf.uni-lj.si/fmfen.html Faculty of Mathematics and Physics]<br><br />
** [http://mat.fmf.uni-lj.si/index_en.php Department of Mathematics]<br />
<br />
----<br />
<br />
==== [http://www.imfm.si/view?set_language=en Institute of Mathematics, Physics and Mechanics] ====<br />
* Department of Mathematics<br><br />
<br />
----</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=AffiliationsAffiliations2012-09-09T07:20:34Z<p>Kozak: </p>
<hr />
<div>[[sl:Zaposlitev]]<br />
==== aaaa ====<br />
<br />
==== [http://www.uni-lj.si/ University of Ljubljana] ====<br />
* [http://www.fmf.uni-lj.si/fmfen.html Faculty of Mathematics and Physics]<br><br />
** [http://mat.fmf.uni-lj.si/index_en.php Department of Mathematics]<br />
<br />
----<br />
<br />
==== [http://www.imfm.si/view?set_language=en Institute of Mathematics, Physics and Mechanics] ====<br />
* Department of Mathematics<br><br />
<br />
----</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=AffiliationsAffiliations2012-09-09T07:16:07Z<p>Kozak: </p>
<hr />
<div>[[sl:Zaposlitev]]<br />
==== [http://www.uni-lj.si/ University of Ljubljana] ====<br />
* [http://www.fmf.uni-lj.si/fmfen.html Faculty of Mathematics and Physics]<br><br />
** [http://mat.fmf.uni-lj.si/index_en.php Department of Mathematics]<br />
<br />
----<br />
<br />
==== [http://www.imfm.si/view?set_language=en Institute of Mathematics, Physics and Mechanics] ====<br />
* Department of Mathematics<br><br />
<br />
----</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=AffiliationsAffiliations2012-09-09T07:14:22Z<p>Kozak: </p>
<hr />
<div>[[sl:Zaposlitev]]<br />
==== [http://www.uni-lj.si/ University of Ljubljana] ====<br />
* [http://www.fmf.uni-lj.si/fmfen.html Faculty of Mathematics and Physics]<br><br />
** [http://mat.fmf.uni-lj.si/index_en.php Department of Mathematics]<br />
<br />
----<br />
<br />
==== [http://www.imfm.si/view?set_language=en Institute of Mathematics, Physics and Mechanics] ====<br />
* Department of Mathematics<br></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2012-06-09T06:23:39Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2012-04-16T07:04:23Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at [http://dx.doi.org/10.1016/j.cagd.2012.01.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo\NekateriClanki\RationalCubicG2\programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], to appear in Adv. Comput. Math. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2012-03-08T12:04:20Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], to appear in Comput. Aided Geom. Des.<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo\NekateriClanki\RationalCubicG2\programi/ProgramsRatCubG2.nb Notebook of computations the paper relies upon].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], to appear in Adv. Comput. Math. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2012-03-08T07:49:41Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], to appear in Comput. Aided Geom. Des.<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo\NekateriClanki\RationalCubicG2\programi/ProgramsRatCubG2.nb Notebook that briefly demonstrates symbolic and numerical computations carried out in the paper].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], to appear in Adv. Comput. Math. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2012-03-04T17:37:26Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], to appear in Comput. Aided Geom. Des.<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], submitted. [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo\NekateriClanki\RationalCubicG2\programi/ratCubG2.nb Notebook that briefly demonstrates symbolic and numerical computations carried out in the paper].<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], to appear in Adv. Comput. Math. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2012-01-18T14:20:44Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], to appear in Comput. Aided Geom. Des.<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], submitted.<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], to appear in Adv. Comput. Math. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2011-12-27T15:37:59Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], submitted.<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], submitted.<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], to appear in Adv. Comput. Math. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], Journal of Mathematical Analysis and Applications 388 (2012), pp.318-332. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
<!--<br />
* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2011-10-27T15:03:50Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], submitted.<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], submitted.<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], to appear in Adv. Comput. Math. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], to appear in Journal of Mathematical Analysis and Applications. The original publication at [http://dx.doi.org/10.1016/j.jmaa.2011.10.044 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2011-10-22T12:01:13Z<p>Kozak: </p>
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<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicLagrange/RationalCubicLagrange_CAGD.pdf Lagrange geometric interpolation by rational spatial cubic Bezier curves], submitted.<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/RationalCubicG2/ratCubG2SINUM.pdf Hermite geometric interpolation by rational spatial cubic Bezier curves], submitted.<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], to appear in Adv. Comput. Math. The original publication at [http://dx.doi.org/10.1007/s10444-011-9209-0 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], to appear in Journal of Mathematical Analysis and Applications. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2011-09-20T11:16:43Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], to appear in Adv. Comput. Math. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link]. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
<!--<br />
* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
--><br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
--><br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
<!--<br />
* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=Some_publicationsSome publications2010-11-03T06:35:49Z<p>Kozak: </p>
<hr />
<div><!--[[en:Some publications]]--><br />
[[sl:Nekaj objav]]<br />
* J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/TrigPH/PHC_AiCM.pdf Pythagorean-hodograph Cycloidal curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-splineDD/PHLagrangeInterpolationInRd-ACM.pdf An approach to geometric interpolation by Pythagorean-hodograph curves], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Quadrics/QuadricsNM.pdf High order parametric polynomial approximation of quadrics in R^d], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/HolligKochConjecture/HK-new.pdf High order parametric polynomial approximation of conic sections], submitted. <br />
* T. Kranjc, J. Peternelj, J. Kozak, [http://dx.doi.org/10.1016/j.ijheatmasstransfer.2009.10.004 The rate of heat flow through a flat vertical wall due to conjugate heat transfer], Int. J. Heat Mass Transfer 53 (2010), pp. 1231–1236.<br />
* J. Kozak, V. Vitrih, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CubatureRules-Lattices/CubatureRules_rev.pdf Newton-Cotes cubature rules over (d+1)-pencil lattices], J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.098 the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/OnCellReducing/OnCellReducing.pdf On cell reducing for determining the dimension of the bivariate spline space $S_n^1(\triangle)$], submitted. <br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-G2-cubic-spline/CubicPHG2Spline-last.pdf On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves], Math. Comput., 79 (2010), pp. 305-326. The original publication at [http://dx.doi.org/10.1090/S0025-5718-09-02298-4 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Lattices-simplicial-partitions/revision_Alesund.pdf Lattices on simplicial partitions], J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at [http://dx.doi.org/10.1016/j.cam.2009.02.022 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PH-cubic-Lagrange/PH-Krajnc-rev1.pdf Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves], Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at [http://dx.doi.org/10.1016/j.cagd.2008.07.006 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Cancun/Cancun-20_12.pdf Barycentric coordinates for Lagrange interpolation over lattices on a simplex], Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://dx.doi.org/10.1007/s11075-008-9178-7 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Ploskve2/Lag-Last-rev-final.pdf On geometric Lagrange interpolation by quadratic parametric patches], Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.09.002 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/AnnalidellUniversitadiFerrara/JaKrKoZa.pdf Approximation of circular arcs by parametric polynomial curves], Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at [http://www.springerlink.com/content/1m116l23006t30pp/?p=c9f3750bd8e348e3b594922df9aca0a9&pi=11 the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/PencilNets/NA-Lattice-revision.pdf Three-pencil lattices on triangulations], Numer. Algor., 45 (2007), pp. 49-60. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/ypw4g173p3207721/?p=58d96a051a524ed0a120cd6e994480b7&pi=33 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G<sup>1</sup> splines], BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/x2v8982642360680/ the link].<br />
* G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GeometricCurveInterpolation/GIR2-accepted.pdf On geometric interpolation by planar parametric polynomial curves], Math. Comput., 76 (2007), pp. 1981-1993. The original publication at [http://www.ams.org/mcom/2007-76-260/S0025-5718-07-01988-6/home.html the link].<br />
* G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/CircleLikeCurves/GCI-last-rev-2.pdf On geometric interpolation of circle-like curves], Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at [http://dx.doi.org/10.1016/j.cagd.2007.03.002 the link].<br />
* J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaCubicPolynomial/cubicGI_last-rev.pdf Geometric interpolation by planar cubic polynomial curves], Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at [http://dx.doi.org/10.1016/j.cagd.2006.11.002 the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R<sup>3</sup>]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S<sub>3</sub><sup>1</sup>(&#916;)]. In: Z. Drmač, M. Marušić, Z. Tutek (eds.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pp. 245-252. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/w70300/ the link].<br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2InR3/ginter-revised-last.pdf On geometric interpolation by polynomial curves], SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at [http://epubs.siam.org/sam-bin/dbq/article/42207 the link].<br />
* F. Forstnerič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Franci/Handles7Orig01022003.pdf Strongly pseudoconvex handlebodies], J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at [http://www.mathnet.or.kr/mathnet/kms_content.php?no=365212 the link].<br />
* J.S. Deng, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Diener/DengFengKozak.pdf A note on the dimension of the bivariate spline space over the Morgan-Scott tringulation], SIAM J. Numer. Anal., 37 (2000), pp. 1021-1028. The original publication at [http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000037000003001021000001&idtype=cvips&gifs=yes the link].<br />
* Z.B. Chen, Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS2N/DIMS2N.pdf The blossom approach to the dimension of the bivariate spline space], J. Comput. Math., 18 (2000), pp. 183-198. <br />
* J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R<sup>d</sup>]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG3D/fengtex.pdf On spline interpolation of space data]. In: M. Dahlen, T. Lyche, L. L. Schumaker (eds.), Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, 1998, pp. 167-174. <br />
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* F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24.<br />
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* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G<sup>2</sup> continuous cubic spline interpolation], BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/c4364v87x776472k/ the link].<br />
* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/NINTER/NINTER.pdf On computing zeros of a bivariate Bernstein polynomial], J. Comput. Math., 14 (1996), pp. 237-248.<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/BBPOL/BBPOL.pdf The theorem on the B-B polynomials defined on a simplex in the blossoming form], J. Comput. Math., 14 (1996), pp. 64-70. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G<sup>2</sup> continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159.<br />
* Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C<sup>1</sup> spline space for the Morgan-Scott triangulation from the blossoming approach.] In: F. Fontanella, K. Jetter, J. P. Laurent (eds.), Advanced Topics in Multivariate Approximation, World Scientific, 1996, pp. 71-86.<br />
* J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/KNOTS/KNOTS.pdf On the choice of the exterior knots in the B-spline basis,] J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.<br />
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* Y.Y. Feng, J. Kozak, On convexity and Schoenberg's variation diminishing splines. Zhongguo Kexue Jishu Daxue xueb., 1994, let. 24, št. 2, pp. 129-134. <br />
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* F.L. Chen, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/INTER/INTER.pdf The intersection of a triangular Bézier patch and a plane], J. Comput. Math., 12 (1994), pp. 138-146. The original publication at [http://www.jcm.ac.cn/qikan/epaper/zhaiyao.asp?bsid=16258 the link].<br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GPOLC/GPOLC.pdf Cutting corners preserves Lipschitz continuity], Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34. <br />
* Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/ASEX/ASEX.pdf Asymptotic expansion formula for Bernstein polynomials defined on a simplex], Constr. Approx., 8 (1992), pp. 49-58. The original publication at [http://www.springerlink.com www.springerlink.com], follow [http://www.springerlink.com/content/l364302xmx171691/ the link].<br />
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* Y.Y. Feng, J. Kozak, The convexity of families of adjoint patches for a Bézier triangular surface. J. Comput. Math., 1991, let. 9, št. 4, pp. 301-304. <br />
* Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178.<br />
* J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440.<br />
* Y.Y. Feng, J. Kozak, L [sub] [infinity] -lower bound of L [sub] 2-projections onto splines on a geometric mesh. J. approx. theory, 1982, let. 35, št. 1, pp. 64-76. <br />
* Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338.<br />
--></div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=TeachingTeaching2010-10-04T05:18:23Z<p>Kozak: </p>
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<div>[[sl:Pedagoško delo]]</div>Kozakhttps://users.fmf.uni-lj.si/kozak/wikiang/index.php?title=TeachingTeaching2010-10-04T05:17:11Z<p>Kozak: </p>
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<div>[[Pedagoško delo]]</div>Kozak