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 su
Proper Parametrization of Real Tubular Surfaces
β Scribed by Josef Schicho
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 301 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0747-7171
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β¦ Synopsis
It is well known that a real algebraic surface is real rational if and only if it is complex rational and connected. In this paper, we give an explicit construction for a large class of surfaces that satisfy this criterion.
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