PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

On geometric Lagrange interpolation by quadratic parametric patches
Gašper Jaklic, Jernej Kozak, Marjetka Krajnc, Vito Vitrih and Emil Žagar
Comput. aided geom. des. Volume 25, Number 6, pp. 373-384, 2008. ISSN 0167-8396

Abstract

In the paper, the geometric Lagrange interpolation by quadratic parametric patches is considered. The freedom of parameterization is used to raise the number of interpolated points from the usual 6 up to 10, i.e., the number of points commonly interpolated by a cubic patch. At least asymptotically, the existence of a quadratic geometric interpolant is confirmed for data taken on a parametric surface with locally nonzero Gaussian curvature and interpolation points based upon a three-pencil lattice. Also, the asymptotic approximation order 4 is established.

EPrint Type:Article
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Theory & Algorithms
ID Code:8201
Deposited By:Boris Horvat
Deposited On:21 February 2012