The Cayley method in computer aided geometric design
type: Item
instance of: scholarly article
title: The Cayley method in computer aided geometric design
zbMATH Open document ID: 0571.65113
DOI: 10.1016/0167-8396(84)90019-0
author: Yves de Montaudouin
author: Wayne Tiller
published in: Computer Aided Geometric Design
publication date: 1984-01-01T00:00:00Z
review text: A considerable part of the paper is devoted to solve some problems in computer aided geometric design using the Cayley method of elimination. Some special examples are also presented. The main results and the connection between the Cayley method and the Euclidean algorithm are motived. Reviewer's remark. For special problems in computer aided geometric design, the implicitization and the inversion, see \textit{R. N. Goldmann}, \textit{T. W. Sederberg} and \textit{D. C. Anderson} [ibid. 1, 327- 356 (1984; reviewed below)].
Mathematics Subject Classification ID: 65S05
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 65D99
zbMATH DE Number: 3911668
zbMATH Keywords: birational correspondence
zbMATH Keywords: intersection problems
zbMATH Keywords: computer aided geometric design
zbMATH Keywords: Cayley method
zbMATH Keywords: elimination
zbMATH Keywords: Euclidean algorithm
zbMATH Keywords: implicitization
MaRDI profile type: Publication
full work available at URL: 0167-8396(84)90019-0
OpenAlex ID: W2053508523
cites work: Q4771385
cites work: Implicit representation of parametric curves and surfaces
cites work: Implicitization, inversion, and intersection of planar rational cubic curves
cites work: On the Problem of Runs
description: scientific article; zbMATH DE number 3911668