Numerical polynomial reparametrization of rational curves
Given a real rational parametrization P(t) of a plane curve C, we present an algorithm to compute polynomial curves to approximate C for the whole parameter domain. In this case, the denominators often have real roots in the whole interval. We decompose the interval as the union of finitely many int...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/41551 |
| Acceso en línea: | http://hdl.handle.net/10017/41551 https://dx.doi.org/10.1016/j.cagd.2019.04.002 |
| Access Level: | acceso abierto |
| Palabra clave: | Rational curves Polynomial reparametrization Asymptote Error analysis Matemáticas Mathematics |
| Sumario: | Given a real rational parametrization P(t) of a plane curve C, we present an algorithm to compute polynomial curves to approximate C for the whole parameter domain. In this case, the denominators often have real roots in the whole interval. We decompose the interval as the union of finitely many intervals according to the real roots of the denominators. The key technique of the paper is to approximate the given curve by their asymptotes and error analysis at each interval is also presented. The asymptotes are associated with the infinity points corresponding to the real roots of the denominators. Numeric algorithms and examples are proposed to illustrate our results. |
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