The convexity of parametric Bézier triangular patches of degree 2
type: Item
instance of: scholarly article
title: The convexity of parametric Bézier triangular patches of degree 2
zbMATH Open document ID: 0794.65011
DOI: 10.1016/0167-8396(93)90028-2
author: Jinjin Zheng
published in: Computer Aided Geometric Design
publication date: 1994-08-31T00:00:00Z
review text: The author gives a necessary and sufficient condition for a quadratic triangular Bézier patch to be convex, i.e., for which every tangent plane is supporting, and some more practical necessary or sufficient conditions. The paper also contains examples of the breakdowns of convexity if some conditions are violated.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 52A15
zbMATH DE Number: 516601
zbMATH Keywords: quadratic triangular Bézier patch
zbMATH Keywords: convexity
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
full work available at URL: 0167-8396(93)90028-2
OpenAlex ID: W2143735187
cites work: The convexity of quadratic parametric triangular Bernstein-Bézier surfaces
cites work: The convexity of Bernstein polynomials over triangles
cites work: An improved condition for the convexity of Bernstein-Bézier surfaces over triangles
cites work: A geometric interpretation of convexity conditions for surfaces
cites work: A survey of curve and surface methods in CAGD
cites work: On the convexity of parametric Bézier triangular surfaces
description: scientific article; zbMATH DE number 516601