Analysis and construction of rational curve parametrizations with non-ordinary singularities
In this paper, we provide a method that allows to construct parametric curves having (or not) non-ordinary singularities and having (or not) neighboring points. This method is based on a characterization of the non-ordinary singularities and neighboring points by means of linear equations involving...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/49541 |
| Acceso en línea: | http://hdl.handle.net/10017/49541 https://dx.doi.org/10.1016/j.cagd.2018.08.002 |
| Access Level: | acceso abierto |
| Palabra clave: | Rational curve parametrization Algebraic curve Singularities of an algebraic curve Non-ordinary singularity Matemáticas Mathematics |
| Sumario: | In this paper, we provide a method that allows to construct parametric curves having (or not) non-ordinary singularities and having (or not) neighboring points. This method is based on a characterization of the non-ordinary singularities and neighboring points by means of linear equations involving the given parametrization. As a consequence, we obtain an algorithm that constructs a parametrization which contains a given point, P, as a singularity as well as some additional information as for instance, the order of P, parameters corresponding to P, multiplicity of each parameter and the singularities in the first neighborhood of the singularity P. |
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