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Implicitization of rational parametric equations

✍ Scribed by Xiao-Shan Gao; Shang-Ching Chou

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
636 KB
Volume
14
Category
Article
ISSN
0747-7171

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πŸ“œ SIMILAR VOLUMES

Implicitization of differential rational
Implicitization of differential rational parametric equations
✍ Xiao-Shan Gao πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 257 KB

In this paper, we propose algorithms for the following problems in the implicitization of a set of differential rational parametric equations P. (1) To find a characteristic set for the implicit prime ideal of P. (2) To find a canonical representation for the image of P. (3) To decide whether the pa

Implicitization of Rational Parametric S
Implicitization of Rational Parametric Surfaces
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A generalized projective implicitization theorem is presented that can be used to solve the implicitization of rational parametric curves and surfaces in an affine space. The Groebner bases technique is used to implement the algorithm. The algorithm has the advantages that it can handle base points

Implicitization of a General Union of Pa
Implicitization of a General Union of Parametric Varieties
✍ F. Orecchia πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 354 KB

We reconduct the computation of the equations defining a union V of parametric varieties, up to a given degree d, to the computation of the equations, of degree ≀ d, vanishing on a finite set of points of V . If V is general this gives a new algorithm for implicitizing V . We have compared the imple

Implicitization of rational surfaces by
Implicitization of rational surfaces by means of polynomial interpolation
✍ A. Marco; J.J. MartΔ±́nez πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 127 KB

A method for finding the implicit equation of a surface given by rational parametric equations is presented. The method is based on an efficient computation of the resultant by means of classical multivariate polynomial interpolation. The used approach considerably reduces the problem of intermediat