Implicitization and Offsetting via Regular Systems

Dongming Wang 1, 2
1 SPACES - Solving problems through algebraic computation and efficient software
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : Given a geometric object defined by rational parametric equations, we show how to compute a disjunction of implicit equations and inequations that define exactly the same object by means of regular systems. The same technique is applied to the computation of quasi-offsets to algebraic curves and surfaces. Regular systems possess the projection property, are relatively easy to compute, and often have a compact form. Several examples are given to illustrate our approach based on the decomposition of polynomial systems into regular systems. A heuristic method is presented to simplify the output disjunction of polynomial equations and inequations.
Type de document :
Chapitre d'ouvrage
Chen, Falai; Wang, Dongming. Geometric Computation, 11, World Scientific, pp.156-176, 2004, Lecture Notes Series on Computing, 〈10.1142/9789812794833_0005〉
Liste complète des métadonnées

https://hal.inria.fr/inria-00099542
Contributeur : Publications Loria <>
Soumis le : mardi 26 septembre 2006 - 09:38:27
Dernière modification le : mercredi 21 mars 2018 - 18:58:15

Identifiants

Collections

Citation

Dongming Wang. Implicitization and Offsetting via Regular Systems. Chen, Falai; Wang, Dongming. Geometric Computation, 11, World Scientific, pp.156-176, 2004, Lecture Notes Series on Computing, 〈10.1142/9789812794833_0005〉. 〈inria-00099542〉

Partager

Métriques

Consultations de la notice

101