Abstract | ||
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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 |
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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 Busé | 1 | 131 | 14.74 |
M. Elkadi | 2 | 10 | 1.07 |
A. Galligo | 3 | 76 | 11.72 |