Missing sets in rational parametrizations of surfaces of revolution
Parametric representations do not cover, in general, the whole geometric object that they parametrize.This can be a problem in practical applications. In this paper we analyze the question for surfaces of revolution generated by real rational profile curves, and we describe a simple small superset o...
| 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:10017/39746 |
| Acceso en línea: | http://hdl.handle.net/10017/39746 |
| Access Level: | acceso abierto |
| Palabra clave: | Revolution surface Rational parametrization Critical set Covering parametrization Real algebraic surface Geometric computation Ciencia Matemáticas Science Mathematics |
| Sumario: | Parametric representations do not cover, in general, the whole geometric object that they parametrize.This can be a problem in practical applications. In this paper we analyze the question for surfaces of revolution generated by real rational profile curves, and we describe a simple small superset of the real zone of the surface not covered by the parametrization. This superset consists, in the worst case, of the union of a circle and the mirror curve of the profile curve. |
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