%0 Journal Article
%A Pérez Díaz, Sonia
%A Sendra Pons, Juan Rafael
%A Rueda Pérez, Sonia Luisa
%A Sendra Pons, Juana
%T Approximate parametrization of plane algebraic curves by linear systems of curves.
%D 2010
%@ 0167-8396
%U http://hdl.handle.net/10017/49579
%X 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 ² > 0 and an ²-irreducible algebraic affine plane curve C of proper degree d, we introduce the notion of ²-rationality, and we provide an algorithm to parametrize approximately affine ²-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.
%K Approximate
%K Parametrization
%K Plane algebraic curves
%K Linear systems of curves
%K Matemáticas
%K Mathematics
%~ Biblioteca Universidad de Alcala