Nonnegative quadratic Bézier triangular patches
type: Item
instance of: scholarly article
title: Nonnegative quadratic Bézier triangular patches
zbMATH Open document ID: 0797.65007
DOI: 10.1016/0167-8396(94)90028-0
author: T. W. Sederberg
author: Geng-zhe Chang
published in: Computer Aided Geometric Design
publication date: 1994-04-17T00:00:00Z
review text: A quadratic triangular Bézier patch is positive, i.e., the surface represented by the patch will not cross the plane of the triangle at interior points of the triangle, if a certain 3-by-3 symmetric matrix is copositive [cf. \textit{K. P. Hadeler}, Linear Algebra Appl. 49, 79-89 (1983; Zbl 0506.15016)]. In this particular lowdimensional case the authors give a complete algebraic characterization without using matrix theory.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 516611
zbMATH Keywords: quadratic triangular Bézier patch
zbMATH Keywords: positive
zbMATH Keywords: surface
zbMATH Keywords: algebraic characterization
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
full work available at URL: 0167-8396(94)90028-0
OpenAlex ID: W2016489353
cites work: On copositive matrices
cites work: Q3487672
cites work: Nonnegativity of bivariate quadratic functions on a triangle
description: scientific article; zbMATH DE number 516611