Implicitization and Offsetting via Regular Systems

Dongming Wang 1
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 and Wang, Dongming. Geometric Computation, World Scientific, Singapore New Jersey, pp.156-176, 2003
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https://hal.inria.fr/inria-00099542
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Soumis le : mardi 26 septembre 2006 - 09:38:27
Dernière modification le : jeudi 11 janvier 2018 - 06:20:00

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  • HAL Id : inria-00099542, version 1

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Dongming Wang. Implicitization and Offsetting via Regular Systems. Chen, Falai and Wang, Dongming. Geometric Computation, World Scientific, Singapore New Jersey, pp.156-176, 2003. 〈inria-00099542〉

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