Asymptotic behavior of an implicit algebraic plane curve
In this paper, we introduce the notion of infinity branches as well as approaching curves. We present some properties which allow us to obtain an algorithm that compares the behavior of two implicitly defined algebraic plane curves at the infinity. As an important result, we prove that if two plane...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/49577 |
| Acceso en línea: | http://hdl.handle.net/10017/49577 https://dx.doi.org/10.1016/j.cagd.2014.04.002 |
| Access Level: | acceso abierto |
| Palabra clave: | Implicit algebraic plane curve Infinity branches Convergent branches Asymptotic behavior Approaching curves Matemáticas Mathematics |
| Sumario: | In this paper, we introduce the notion of infinity branches as well as approaching curves. We present some properties which allow us to obtain an algorithm that compares the behavior of two implicitly defined algebraic plane curves at the infinity. As an important result, we prove that if two plane algebraic curves have the same asymptotic behavior, the Hausdorff distance between them is finite. |
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