Approximation of surfaces by fairness bicubic splines
type: Item
instance of: scholarly article
title: Approximation of surfaces by fairness bicubic splines
zbMATH Open document ID: 1042.65015
DOI: 10.1023/A:1025805701726
published in: Advances in Computational Mathematics
publication date: 2004-03-15T00:00:00Z
review text: Considering the space of parametric bicubic splines, the authors introduce a fairness bicubic spline as the unique solution of a certain minimization problem [cf. \textit{A. Kouibia} and \textit{M. Pasadas}, J. Comput. Appl. Math. 116, 145--156 (2000; Zbl 0982.65019)]. It is shown that these functions can be expressed as a linear combination of the basic functions of a parametric space of bicubic splines. A characterization of these functions is also obtained. Although the method presented here is for any open parametric surface, the authors claim that it can be possibly extended to closed parametric surfaces also. This is illustrated by an example.
reviewed by: H. P. Dikshit
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 2057584
zbMATH Keywords: smoothing
zbMATH Keywords: variational surface
zbMATH Keywords: fairness spline
zbMATH Keywords: bicubic spline
zbMATH Keywords: numerical example
author: A. Kouibia
author: M. Pasadas
MaRDI profile type: Publication
full work available at URL: a:1025805701726
OpenAlex ID: W49336579
description: scientific article; zbMATH DE number 2057584