Error estimates for approximations from control nets
type: Item
instance of: scholarly article
title: Error estimates for approximations from control nets
zbMATH Open document ID: 0765.65015
DOI: 10.1016/0167-8396(93)90051-4
published in: Computer Aided Geometric Design
publication date: 1993-05-16T00:00:00Z
review text: The author notes that for a collection of functions \(B_ i(x)\) giving a partition of unity over a domain \(\Omega\), for a linear function \(L(b)=\sum b_ i B_ i\), one has \(\| L(b)-L(c)\|\leq\max\| b_ i-c_ i\|\). He applies the remark to several kinds of splines and rational \(B\)-spline functions to obtain uniform estimates.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D10
zbMATH DE Number: 166485
zbMATH Keywords: error estimates
zbMATH Keywords: control nets
zbMATH Keywords: computer aided geometric design
zbMATH Keywords: flatness test
zbMATH Keywords: subdivision
zbMATH Keywords: knot insertion
zbMATH Keywords: convergence order
zbMATH Keywords: rational \(B\)-spline
author: Robert Schaback
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
full work available at URL: 0167-8396(93)90051-4
OpenAlex ID: W2032150241
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description: scientific article; zbMATH DE number 166485