GC\({}^ 1\) continuity conditions between two adjacent rational Bézier surface patches
type: Item
instance of: scholarly article
title: GC\({}^ 1\) continuity conditions between two adjacent rational Bézier surface patches
zbMATH Open document ID: 0713.65010
DOI: 10.1016/0167-8396(90)90027-O
author: Dingyuan Liu
published in: Computer Aided Geometric Design
publication date: 1990-01-01T00:00:00Z
review text: The author gives necessary and sufficient conditions for geometric \(C^ 1\) continuity \((GC^ 1)\) of two adjacent rectangular or triangular rational Bézier surface patches of the same degree. Some simple practical sufficient conditions are developed. The weights in the \(GC^ 1\) conditions can be used to control the shape of the patches and to compose a \(GC^ 1\) smooth surface easily.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 4174212
zbMATH Keywords: rational Bézier surface patches
zbMATH Keywords: geometric continuity
zbMATH Keywords: smooth surface
reviewed by: Georgi R. Grozev
MaRDI profile type: Publication
cites work: Q5665063
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cites work: \(GC^ 1\) continuity conditions between adjacent rectangular and triangular Bézier surface patches
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full work available at URL: 0167-8396(90)90027-o
OpenAlex ID: W2052140009
description: scientific article; zbMATH DE number 4174212