Some publications

From Jernej Kozak

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* 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], to appear in Numer. Algor.
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* 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].
* 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], to appear in Comput. Aided Geom. Des.
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* 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].
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* 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].
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* 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]. 
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* 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].
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* 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].
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* 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].
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* 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]
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* 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].
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* 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].
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* 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].
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* 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].
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* 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.
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* 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].
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* 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.
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* 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].
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* 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].
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* 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].
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* 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].
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* 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, 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].
 
* 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].

Latest revision as of 10:33, 8 February 2017

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