Memorias de investigación
Artículos en revistas:
Approximate parametrization of plane algebraic curves by linear systems of curves
Año:2010
Áreas de investigación
  • Algebra
Datos
Descripción
It 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  > 0 and an -irreducible algebraic affine plane curve C of proper degree d, we introduce the notion of -rationality, and we provide an algorithm to parametrize approximately affine -rational plane curves by means of linear systems of (d-2)-degree curves. The algorithm outputs a rational parametrization of a rational curve C 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 C and C are close in practice.
Internacional
Si
JCR del ISI
Si
Título de la revista
COMPUTER AIDED GEOMETRIC DESIGN
ISSN
0167-8396
Factor de impacto JCR
1,33
Información de impacto
Volumen
27
DOI
10.1016/j.cagd.2009.12.002
Número de revista
2
Desde la página
212
Hasta la página
231
Mes
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  • Creador: Departamento: Matemática Aplicada a la Ingeniería Técnica de Telecomunicación