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Implicitization of Rational Parametric Surfaces

โœ Scribed by GEORGE FIX; CHIH-PING HSU; TIE LUO

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
462 KB
Volume
21
Category
Article
ISSN
0747-7171

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โœฆ Synopsis

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 in a parametrization, and no extra factors will be introduced into an implicit equation. The complexity of the algorithm in terms of the degrees of the polynomials in the Groebner basis is better than the existing method.

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