Nekaj objav

Iz Jernej Kozak

[[en:Some publications]] <!--[[sl:Nekaj objav]]--> * 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. * 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. * 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. * 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]. * 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]. * 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. * 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. * 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]. * 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. * 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]. * 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]. * 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]. * 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]. * 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]. * 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]. * 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]. * J. Kozak, M. Krajnc, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/MarjetaKubicniZlepek/G1Spline_Last.pdf Geometric interpolation by planar cubic G¹ 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]. * 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]. * 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]. * 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]. * J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/brijuni03.pdf Geometric interpolation of data in R³]. 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]. * G. Jaklič, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/Brijuni2003/s31cut-v13.pdf On the dimension of bivariate spline space S₃¹(&#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]. * 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]. * 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]. * 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]. * 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. * J. Kozak, E. Žagar, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/SaintMalo/SMalo99.pdf On curve interpolation in R^d]. In: A. Cohen, C. Rabut, L. L. Schumaker (eds.), Curve and Surface Fitting, Vanderbilt University Press, Nashville, 2000, pp. 263-272. * 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. <!-- * F.L. Chen, Y.Y. Feng, J. Kozak, Tracing a planar algebraic curve. Gao-xiao yingyong shuxue xuebao, 12B (1997), pp. 15-24. --> * Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/GG/GG.pdf On G² 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]. * 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. * 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. * Y.Y. Feng, J. Kozak, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/G2/G2.pdf On G² continuous interpolatory composite quadratic Bézier curves], J. Comput. Appl. Math., 72 (1996), pp. 141-159. * Y.Y. Feng, J. Kozak, M. Zhang, [http://www.fmf.uni-lj.si/~kozak/RaziskovalnoDelo/NekateriClanki/DIMS1N/fengetal.pdf On the dimension of the C¹ 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. * 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. <!-- * 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. --> * 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]. * 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. * 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]. <!-- * 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. * Y.Y. Feng, J. Kozak, An approach to the interpolation of nonuniformly spaced data, J. Comput. Appl. Math., 23 (1988), pp. 169-178. * J. Kozak, Shape preserving approximation. Comput. Ind., 7 (1986), pp. 435-440. * 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. * Y.Y. Feng, J. Kozak, On the generalized Euler-Frobenius polynomial. J. Approx. Theory, 1981, let. 32, št. 4, pp. 327-338. -->

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