Some publications

From Jernej Kozak

• J. Kozak, M. Krajnc, V. Vitrih, Dual representation of spatial rational PH curves, submitted.
• G. Jaklič, J. Kozak, V. Vitrih, E. Žagar, Lagrange geometric interpolation by rational spatial cubic Bezier curves, Comput. Aided Geom. Des., 29 (2012), pp. 175-188. The original publication at the link.
• G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, Hermite geometric interpolation by rational spatial cubic Bezier curves, SIAM J. Numer. Anal., 50 (2012), 2695--2715. The original publication at the link. Notebook of computations the paper relies upon.
• J. Kozak, M. Krajnc, M. Rogina, V. Vitrih, Pythagorean-hodograph Cycloidal curves, to appear in Journal of Numerical Mathematics.
• G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, An approach to geometric interpolation by Pythagorean-hodograph curves, Adv. Comput. Math., 37(2012), pp. 123-150. The original publication at the link.
• G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, 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 the link.
• G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, High order parametric polynomial approximation of conic sections, to appear in Constructive Approximation.
• T. Kranjc, J. Peternelj, J. Kozak, 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, Newton-Cotes cubature rules over (d+1)-pencil lattices, J. Comput. Appl. Math., 231 (2009), pp. 392-402. The original publication at the link.
• G. Jaklič, J. Kozak, 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, On Interpolation by Planar Cubic G^2 Pythagorean-hodograph Spline Curves, Math. Comput., 79 (2010), pp. 305-326. The original publication at the link.
• G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, Lattices on simplicial partitions, J. Comput. Appl. Math., 233 (2010), pp. 1704-1715. The original publication at the link.
• G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves, Comput. Aided Geom. Des., 25 (2008), pp. 720-728. The original publication at the link.
• G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, Barycentric coordinates for Lagrange interpolation over lattices on a simplex, Numerical Algorithms, 48 (2008), pp. 93-104. The original publication at www.springerlink.com, follow the link.
• G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, On geometric Lagrange interpolation by quadratic parametric patches, Comput. Aided Geom. Des., 25 (2008), pp. 373-384. The original publication at the link.
• G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, Approximation of circular arcs by parametric polynomial curves, Annali dellUniversita di Ferrara, 53 (2007), pp. 271-279. The original publication at the link.
• G. Jaklič, J. Kozak, M. Krajnc, V. Vitrih, E. Žagar, Three-pencil lattices on triangulations, Numer. Algor., 45 (2007), pp. 49-60. The original publication at www.springerlink.com, follow the link.
• J. Kozak, M. Krajnc, Geometric interpolation by planar cubic G¹ splines, BIT Numerical Mathematics, 47 (2007), pp. 547-563. The original publication at www.springerlink.com, follow the link.
• G. Jaklič, J. Kozak, M. Krajnc, E. Žagar, On geometric interpolation by planar parametric polynomial curves, Math. Comput., 76 (2007), pp. 1981-1993. The original publication at the link.
• G. Jaklič, J. Kozak,, M. Krajnc, E. Žagar, On geometric interpolation of circle-like curves, Comput. Aided Geom. Des., 24 (2007), pp. 241-251. The original publication at the link.
• J. Kozak, M. Krajnc, Geometric interpolation by planar cubic polynomial curves, Comput. Aided Geom. Des., 24 (2007), pp. 67-78. The original publication at the link.
• J. Kozak, E. Žagar, 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 www.springerlink.com, follow the link.
• G. Jaklič, J. Kozak, On the dimension of bivariate spline space S₃¹(Δ). 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 www.springerlink.com, follow the link.
• J. Kozak, E. Žagar, On geometric interpolation by polynomial curves, SIAM J. Numer. Anal., 42 (2004), pp. 953-967. The original publication at the link.
• F. Forstnerič, J. Kozak, Strongly pseudoconvex handlebodies, J. Korean Math. Soc., 40 (2003), pp. 727-745. The original publication at the link.
• J.S. Deng, Y.Y. Feng, J. Kozak, 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 the link.
• Z.B. Chen, Y.Y. Feng, J. Kozak, The blossom approach to the dimension of the bivariate spline space, J. Comput. Math., 18 (2000), pp. 183-198.
• J. Kozak, E. Žagar, 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, 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.
• Y.Y. Feng, J. Kozak, On G² continuous cubic spline interpolation, BIT Numerical Mathematics, 27 (1997), pp. 312-332. The original publication at www.springerlink.com, follow the link.
• F.L. Chen, J. Kozak, On computing zeros of a bivariate Bernstein polynomial, J. Comput. Math., 14 (1996), pp. 237-248.
• Y.Y. Feng, J. Kozak, 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, On G² continuous interpolatory composite quadratic Bézier curves, J. Comput. Appl. Math., 72 (1996), pp. 141-159.
• Y.Y. Feng, J. Kozak, M. Zhang, 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, On the choice of the exterior knots in the B-spline basis, J. China Univ. Sci. Tech. 25 (1995), pp. 172--178.
• F.L. Chen, J. Kozak, The intersection of a triangular Bézier patch and a plane, J. Comput. Math., 12 (1994), pp. 138-146. The original publication at the link.
• Y.Y. Feng, J. Kozak, Cutting corners preserves Lipschitz continuity, Gao-xiao yingyong shuxue xuebao, 9 (1994), pp. 31-34.
• Y.Y. Feng, J. Kozak, Asymptotic expansion formula for Bernstein polynomials defined on a simplex, Constr. Approx., 8 (1992), pp. 49-58. The original publication at www.springerlink.com, follow the link.