Implicitizing rational surfaces of revolution using \(\mu \)-bases
type: Item
instance of: scholarly article
title: Implicitizing rational surfaces of revolution using \(\mu \)-bases
zbMATH Open document ID: 1256.65016
author: Xiaoran Shi
author: Ron Goldman
published in: Computer Aided Geometric Design
publication date: 2012-09-11T00:00:00Z
review text: A new technique for implicitizing a rational surface of revolution using \(\mu\)-bases is provided. A degree \(n\) rational plane curve rotating around an axis generates a degree \(2n\) rational surface. It is shown that this \(\mu\)-basis is a powerful bridge connecting the parametric representation and the implicit representation of the surface of revolution. Examples are presented to illustrate a proposed method.
reviewed by: Mykhaylo Pahirya
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 51N05
Mathematics Subject Classification ID: 68U07
zbMATH DE Number: 6080935
zbMATH Keywords: implicitization
zbMATH Keywords: \(\mu\)-basis
zbMATH Keywords: resulting matrix
zbMATH Keywords: numerical examples
zbMATH Keywords: rational surface of revolution
MaRDI profile type: Publication
full work available at URL: j.cagd.2012.02.003
OpenAlex ID: W1987971723
cites work: The \(\mu \)-basis and implicitization of a rational parametric surface
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cites work: Q5447303
DOI: 10.1016/J.CAGD.2012.02.003
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description: scientific article; zbMATH DE number 6080935