Abstract : Given two curves in the projective space, either implicitly or by a parameterization, we want to check if they intersect. For that purpose, we present and further develop generalized resultant techniques. Our aim is to provide a closed formula in the inputs which vanishes if and only if the two curves intersect. This could be useful in Computer Aided Design, for computing the intersection of algebraic surfaces.
Type de document :
Communication dans un congrès
MEGA 2003, Jun 2003, Kaiserslautern, Germany, 2003
https://hal.inria.fr/inria-00100315
Contributeur : Laurent Busé
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Soumis le : mardi 26 septembre 2006 - 10:55:19
Dernière modification le : jeudi 11 janvier 2018 - 16:04:42
Document(s) archivé(s) le : lundi 5 avril 2010 - 23:16:12
Laurent Busé, André Galligo. A resultant approach to detect intersecting curves in the projective space. MEGA 2003, Jun 2003, Kaiserslautern, Germany, 2003. 〈inria-00100315〉
