 |
|
|
|
| HAL : inria-00468964, version 2 |
| DOI : 10.1016/j.cagd.2010.09.006 |
| Voir la fiche détaillée |  BibTeX,EndNote,... |
|
|
| Computer Aided Geometric Design 27, 9 (2010) 681-699 |
|
|
| Versions disponibles | v1 (01-04-2010) | v2 (09-09-2010) |
|
|
|
|
| Matrix-based Implicit Representations of Rational Algebraic Curves and Applications |
|
|
| Laurent Busé 1Thang Luu Ba 1, 2 |
|
|
| (15/10/2010) |
|
|
|
| Given a parameterization of an algebraic rational curve in a projective space of arbitrary dimension, we introduce and study a new implicit representation of this curve which consists in the locus where the rank of a single matrix drops. Then, we illustrate the advantages of this representation by addressing several important problems of Computer Aided Geometric Design: The point-on-curve and inversion problems, the computation of singularities and the intersection problem between two rational curves. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | GALAAD (INRIA Sophia Antipolis) |
|
|
|
INRIA – CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS) |
|
|
| 2 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
|
|
|
CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS) |
|
|
|
|
|
|
|
|
|
| Domaine | : | Informatique/Calcul formel |
|
|
| Liste des fichiers attachés à ce document : | |||||
|
|||||
|
|
|
| inria-00468964, version 2 | |
| http://hal.inria.fr/inria-00468964 | |
| oai:hal.inria.fr:inria-00468964 | |
| Contributeur : Laurent Busé | |
| Soumis le : Jeudi 9 Septembre 2010, 08:59:13 | |
| Dernière modification le : Lundi 18 Octobre 2010, 09:25:35 | |
