Title
Intersection and self-intersection of surfaces by means of Bezoutian matrices
Abstract
The computation of intersection and self-intersection loci of parametrized surfaces is an important task in Computer Aided Geometric Design. We address these problems via four resultants with separated variables; two of them are specializations of general multivariate resultants and the two others are specializations of determinantal resultants. We give a rigorous study in these four cases and provide new formulas in terms of Bezoutian matrix.
Year
DOI
Venue
2008
10.1016/j.cagd.2007.07.001
Computer Aided Geometric Design
Keywords
Field
DocType
self-intersection locus,important task,bezoutian,intersection locus,resultants,separated variable,bezoutian.,geometric design,rigorous study,new formula,bezoutian matrix,algebraic surfaces,determinantal resultant,general multivariate resultant,parametrized surface
Topology,Algebraic geometry,Computer aided geometric design,Parametrization,Algebra,Matrix (mathematics),Computer Aided Design,Algebraic surface,Mathematics,Computation
Journal
Volume
Issue
ISSN
25
2
Computer Aided Geometric Design
Citations 
PageRank 
References 
5
0.49
8
Authors
3
Name
Order
Citations
PageRank
Laurent Busé113114.74
M. Elkadi2101.07
A. Galligo37611.72