Some publications

From Jernej Kozak

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[[sl:Nekaj objav]]
 
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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], submitted.  
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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].
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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].
 
* 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].
 
* 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].
 
* 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].
 
* 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].
 
* 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].
 
* 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].
* 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.  
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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]
 
* 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].  
 
* 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].  
* 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.
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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].
 
* 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/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], 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].
 
* 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].

Latest revision as of 10:33, 8 February 2017

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