Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in \(\mathbb{R}^ 3\)
type: Item
instance of: scholarly article
title: Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in \(\mathbb{R}^ 3\)
zbMATH Open document ID: 0805.65010
DOI: 10.1016/0167-8396(94)90208-9
author: V. Pereyra
published in: Computer Aided Geometric Design
publication date: 1995-02-02T00:00:00Z
review text: The authors study a completely local polynomial interpolation method; they show that degenerate patches can be used for the construction of the interpolating surface. Such surface contains points which are non- regular. They design an interpolation method based on quartic and quintic patches. Several examples are given.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 644303
zbMATH Keywords: degenerate polynomial patches
zbMATH Keywords: geometrically smooth interpolation
zbMATH Keywords: Bernstein-Bézier representation
zbMATH Keywords: local polynomial interpolation method
zbMATH Keywords: interpolating surface
reviewed by: Antonio López-Carmona
MaRDI profile type: Publication
full work available at URL: 0167-8396(94)90208-9
OpenAlex ID: W2034981996
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description: scientific article; zbMATH DE number 644303