Residue and implicitization problem for rational surfaces
type: Item
instance of: scholarly article
title: Residue and implicitization problem for rational surfaces
zbMATH Open document ID: 1058.14073
author: Mohamed Elkadi
author: Bernard Mourrain
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 2004-09-22T00:00:00Z
review text: The implicitization problem for rational surfaces has been studied intensively in the last 10 years, because of its relevance for applications in computer-aided geometric design. The approach studied here is based on resultants: the implicit equation is obtained by computing determinants of Bezout-type matrices and analyzing their factors. Many theoretical problems in the resultant methods arise from the presence of base points. In this paper, the authors present a resultant-based implicitization method that works in the presence of arbitrary base points. The algorithm does not require factorisation of polynomials. The paper also contains a method for computing the equation of the offset of a rational surface.
reviewed by: Josef Schicho
Mathematics Subject Classification ID: 14Q10
Mathematics Subject Classification ID: 14J26
Mathematics Subject Classification ID: 15A54
zbMATH DE Number: 2101930
zbMATH Keywords: resultant
zbMATH Keywords: Bezout-type matrices
zbMATH Keywords: algorithm
MaRDI profile type: Publication
full work available at URL: s00200-003-0139-z
OpenAlex ID: W2091084189
DOI: 10.1007/S00200-003-0139-Z
description: scientific article; zbMATH DE number 2101930