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
Rational Parametrization of Surfaces
โ Scribed by J. Schicho
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 640 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0747-7171
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โฆ Synopsis
The parametrization problem asks for a parametrization of an implicitly given surface, in terms of rational functions in two variables. We give an algorithm that decides if such a parametric representation exists, based on Castelnuovo's rationality criterion. If the answer is yes, then we compute such a parametric representation, using the concept of adjoint functions.
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