Is there a geometric variation diminishing property for B-spline or Bézier surfaces?
type: Item
instance of: scholarly article
title: Is there a geometric variation diminishing property for B-spline or Bézier surfaces?
zbMATH Open document ID: 0756.65018
DOI: 10.1016/0167-8396(92)90011-D
author: Hartmut Prautzsch
author: Tim Gallagher
published in: Computer Aided Geometric Design
publication date: 1992-10-13T00:00:00Z
review text: The authors present a list of interesting examples which show that there is probably no simple geometric characterization of the variation diminishing property of B-spline or Bézier-surfaces -- in direct contrast to the case of the corresponding curves.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 68933
zbMATH Keywords: \(B\)-spline-surface
zbMATH Keywords: variation diminishing property
zbMATH Keywords: Bézier-surfaces
reviewed by: Guido Walz
MaRDI profile type: Publication
cites work: Q3676593
cites work: Q3997243
cites work: Variation diminishing properties of Bernstein polynomials on triangles
cites work: A geometric proof of the variation diminishing property of B-spline approximation
description: scientific article; zbMATH DE number 68933