Abstract : In this paper we introduce an intermediate representation of surfaces that we call semi-implicit. We give a general definition in the language of projective complex algebraic geometry, and we begin its systematic study with an effective view point. Our last section will apply this representation to investigate the intersection of two bi-cubic surfaces, these surfaces are widely used in Computer Aided Geometric Design.
Type de document :
Article dans une revue
Journal of Symbolic Computation, Elsevier, 2005, 39 (3-4), pp.317--329
https://hal.inria.fr/inria-00098677
Contributeur : Laurent Busé
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Soumis le : lundi 25 septembre 2006 - 21:49:09
Dernière modification le : vendredi 12 janvier 2018 - 01:48:42
Document(s) archivé(s) le : jeudi 20 septembre 2012 - 10:55:41
Laurent Busé, André Galligo. Semi-implicit representations of surfaces in the projective space, resultants and applications. Journal of Symbolic Computation, Elsevier, 2005, 39 (3-4), pp.317--329. 〈inria-00098677〉