Descripción
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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
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Si |
JCR del ISI
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Si |
Título de la revista
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COMPUTER AIDED GEOMETRIC DESIGN |
ISSN
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0167-8396 |
Factor de impacto JCR
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1,33 |
Información de impacto
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Volumen
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27 |
DOI
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10.1016/j.cagd.2009.12.002 |
Número de revista
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2 |
Desde la página
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212 |
Hasta la página
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231 |
Mes
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ENERO |
Ranking
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