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Communication Dans Un Congrès Année : 2003

A resultant approach to detect intersecting curves in the projective space

Laurent Busé
André Galligo
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Résumé

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.
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Dates et versions

inria-00100315 , version 1 (26-09-2006)

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  • HAL Id : inria-00100315 , version 1

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Laurent Busé, André Galligo. A resultant approach to detect intersecting curves in the projective space. MEGA 2003, Jun 2003, Kaiserslautern, Germany. ⟨inria-00100315⟩
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