Some results on the surjectivity of surface parametrizations
This paper deals with the decision problem of the surjectivity of a rational surface parametrization. We give sufficient conditions for a parametrization to be surjective, and we describe different families of parametrizations that satisfy these criteria. In addition, we consider the problem of comp...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/29590 |
| Acceso en línea: | http://hdl.handle.net/10017/29590 https://dx.doi.org/10.1007/978-3-319--15081-9_11 |
| Access Level: | acceso abierto |
| Palabra clave: | Rational algebraic surface Normality Ruled surfaces Base points Ciencia Matemáticas Science Mathematics |
| Sumario: | This paper deals with the decision problem of the surjectivity of a rational surface parametrization. We give sufficient conditions for a parametrization to be surjective, and we describe different families of parametrizations that satisfy these criteria. In addition, we consider the problem of computing a superset of the points not covered by the parametrization. In this context, we report on the case of parametrizations without projective base points and we analyze the particular case of rational ruled surfaces. |
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