RT info:eu-repo/semantics/article
T1 A univariate resultant based implicitation algorithm for surfaces
A1 Pérez Díaz, Sonia
A1 Sendra Pons, Juan Rafael
K1 Implicitization
K1 Rational surface parametrization
K1 Partial degrees
K1 Properness
K1 Matemáticas
K1 Mathematics
AB In this paper, we present a new algorithm for computing the implicit equation of a rational surface Vfrom 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 theresultant-based formula provides a power of the implicit equation. In addition, performing a suitable linearchange of parameters, we prove that this power is indeed the degree of the rational map induced by theparametrization. We also present formulas for computing the partial degrees of the implicit equation.
PB Elsevier
SN 0747-7171
YR 2008
FD 2008-02
LK http://hdl.handle.net/10017/49595
UL http://hdl.handle.net/10017/49595
LA eng
NO Ministerio de Educación y Ciencia
DS MINDS@UW
RD 02-abr-2023