Matrix-based Implicit Representations of Rational Algebraic Curves and Applications - Inria - Institut national de recherche en sciences et technologies du numérique
Pré-Publication, Document De Travail Année : 2010

Matrix-based Implicit Representations of Rational Algebraic Curves and Applications

Résumé

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.
Fichier principal
Vignette du fichier
MatrixRepCurve.pdf (202.48 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

inria-00468964 , version 1 (01-04-2010)
inria-00468964 , version 2 (09-09-2010)

Identifiants

  • HAL Id : inria-00468964 , version 1

Citer

Laurent Busé, Thang Luu Ba. Matrix-based Implicit Representations of Rational Algebraic Curves and Applications. 2010. ⟨inria-00468964v1⟩
340 Consultations
534 Téléchargements

Partager

More