RT info:eu-repo/semantics/article
T1 Approximate parametrization of plane algebraic curves by linear systems of curves.
A1 Pérez Díaz, Sonia
A1 Sendra Pons, Juan Rafael
A1 Rueda Pérez, Sonia Luisa
A1 Sendra Pons, Juana
K1 Approximate
K1 Parametrization
K1 Plane algebraic curves
K1 Linear systems of curves
K1 Matemáticas
K1 Mathematics
AB 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.
PB Elsevier
SN 0167-8396
YR 2010
FD 2010-02
LK http://hdl.handle.net/10017/49579
UL http://hdl.handle.net/10017/49579
LA eng
NO Ministerio de Ciencia e Innovación
DS MINDS@UW
RD 18-abr-2024