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.
https://hal.inria.fr/inria-00098677
Contributor : Laurent Busé
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Submitted on : Monday, September 25, 2006 - 9:49:09 PM
Last modification on : Friday, January 12, 2018 - 1:48:42 AM
Document(s) archivé(s) le : Thursday, September 20, 2012 - 10:55:41 AM
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⟩
