The proper parametrization of a special class of rational parametric equations
type: Item
instance of: scholarly article
title: The proper parametrization of a special class of rational parametric equations
zbMATH Open document ID: 1120.65023
author: Jia Li
author: Xiao-Shan Gao
published in: Journal of Systems Science and Complexity
publication date: 2007-05-24T00:00:00Z
review text: The article is focused on finding a proper reparametrization for a set of improper rational parametric equations. A special class of rational parametric equations is investigated -- the rational parametric equations are proper for all but one of their parameters. Here, a proper reparametrization theorem for this special class of rational parametric equations is given. The new parameters can be computed and a proper reparametrization of the original set of improper rational parametric equations is possible. Additionally, an algorithm that determines whether a set of rational parametric equations belongs to this special class is described.
reviewed by: Ivana Linkeová
Mathematics Subject Classification ID: 65D18
zbMATH DE Number: 5156699
zbMATH Keywords: proper parametrization
zbMATH Keywords: improper parametrization
zbMATH Keywords: proper reparametrization
zbMATH Keywords: rational parametric equations
MaRDI profile type: Publication
full work available at URL: s11424-006-0331-x
OpenAlex ID: W2073731347
cites work: Q4488096
cites work: Degree, multiplicity, and inversion formulas for rational surfaces using \(u\)-resultants
cites work: Q5799167
cites work: Q4756008
cites work: Improperly parametrized rational curves
cites work: Q4237379
cites work: Implicitization of rational parametric equations
DOI: 10.1007/S11424-006-0331-X
description: scientific article; zbMATH DE number 5156699