%0 Journal Article
%A Pérez Díaz, Sonia
%A Sendra Pons, Juan Rafael
%T A univariate resultant based implicitation algorithm for surfaces
%D 2008
%@ 0747-7171
%U http://hdl.handle.net/10017/49595
%X In this paper, we present a new algorithm for computing the implicit equation of a rational surface V
from a rational parametrization P(t). The algorithm is valid independent of the existence of base points,
and is based on the computation of polynomial gcds and univariate resultants. Moreover, we prove that the
resultant-based formula provides a power of the implicit equation. In addition, performing a suitable linear
change of parameters, we prove that this power is indeed the degree of the rational map induced by the
parametrization. We also present formulas for computing the partial degrees of the implicit equation.
%K Implicitization
%K Rational surface parametrization
%K Partial degrees
%K Properness
%K Matemáticas
%K Mathematics
%~ Biblioteca Universidad de Alcala