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Approximate parametrization of plane algebraic curves by linear systems of curves
Cita
Perez Diaz, Sonia, Sendra Pons, J. Rafael, Rueda Perez, Sonia and Sendra Pons, Juana 
ORCID: https://orcid.org/0000-0002-9927-169X
(2010).
Approximate parametrization of plane algebraic curves by linear systems of curves.
"Computer Aided Geometric Design", v. 27
(n. 2);
pp. 212-231.
ISSN 0167-8396.
https://doi.org/10.1016/j.cagd.2009.12.002.
ORCID: https://orcid.org/0000-0002-9927-169X
(2010).
Approximate parametrization of plane algebraic curves by linear systems of curves.
"Computer Aided Geometric Design", v. 27
(n. 2);
pp. 212-231.
ISSN 0167-8396.
https://doi.org/10.1016/j.cagd.2009.12.002.
Descripción
| Título: | Approximate parametrization of plane algebraic curves by linear systems of curves |
|---|---|
| Autor/es: |
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| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Computer Aided Geometric Design |
| Fecha: | Febrero 2010 |
| ISSN: | 0167-8396 |
| Volumen: | 27 |
| Número: | 2 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | Approximate; Parametrization; Plane algebraic curves; Linear systems of curves |
| Escuela: | E.U.I.T. Telecomunicación (UPM) [antigua denominación] |
| Departamento: | Matemática Aplicada a la Ingeniería Técnica de Telecomunicación [hasta 2014] |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
t is well known that an irreducible algebraic curve is rational (i.e. parametric) if and only if its genus is zero. In this paper, given a tolerance ϵ>0 and an ϵ-irreducible algebraic affine plane curve C of proper degree d, we introduce the notion of ϵ-rationality, and we provide an algorithm to parametrize approximately affine ϵ-rational plane curves by means of linear systems of (d−2)-degree curves. The algorithm outputs a rational parametrization of a rational curve of degree d which has the same points at infinity as C. Moreover, although we do not provide a theoretical analysis, our empirical analysis shows that and C are close in practice.
Más información
| ID de Registro: | 9458 |
|---|---|
| Identificador DC: | https://oa.upm.es/9458/ |
| Identificador OAI: | oai:oa.upm.es:9458 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/5484678 |
| Identificador DOI: | 10.1016/j.cagd.2009.12.002 |
| URL Oficial: | http://www.sciencedirect.com/science/journal/01678... |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 10 Nov 2011 10:18 |
| Ultima Modificación: | 12 Nov 2025 00:00 |
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