Algebraic and algorithmic aspects of radical parametrizations
In this article algebraic constructions are introduced in order to study the variety defined by a radical parametrization (a tuple of functions involving complex numbers, n variables, the four field operations and radical extractions). We provide algorithms to implicitize radical parametrizations an...
| Autores: | ; ; |
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| Tipo de documento: | Artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/45759 |
| Acceso en línea: | http://hdl.handle.net/10017/45759 https://dx.doi.org/10.1016/j.cagd.2017.01.002 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Radical parametrization Tracing index Reparametrization Implicitization Matemáticas Mathematics |
| Sumario: | In this article algebraic constructions are introduced in order to study the variety defined by a radical parametrization (a tuple of functions involving complex numbers, n variables, the four field operations and radical extractions). We provide algorithms to implicitize radical parametrizations and to check whether a radical parametrization can be reparametrized into a rational parametrization. |
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