A resultant approach to detect intersecting curves in the projective spaceReportar como inadecuado




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1 GALAAD - Geometry, algebra, algorithms CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis, CNRS - Centre National de la Recherche Scientifique : UMR6621

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.





Autor: Laurent Busé - André Galligo -

Fuente: https://hal.archives-ouvertes.fr/



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