Semi-implicit representations of surfaces in the projective space, resultants and applications

Laurent Busé 1 André Galligo 1
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis, CNRS - Centre National de la Recherche Scientifique : UMR6621
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.
Complete list of metadatas

Cited literature [13 references]  Display  Hide  Download

https://hal.inria.fr/inria-00098677
Contributor : Laurent Busé <>
Submitted on : Monday, September 25, 2006 - 9:49:09 PM
Last modification on : Friday, January 12, 2018 - 1:48:42 AM
Long-term archiving on : Thursday, September 20, 2012 - 10:55:41 AM

Identifiers

  • HAL Id : inria-00098677, version 1

Collections

Citation

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⟩

Share

Metrics

Record views

329

Files downloads

104