RT info:eu-repo/semantics/article
T1 Computing the form of highest degree of the implicit equation of a rational surface
A1 Alcázar Arribas, Juan Gerardo
A1 Pérez Díaz, Sonia
K1 Highest order form
K1 Surface implicitization
K1 Rational surface
K1 Matemáticas
K1 Mathematics
AB A method is presented for computing the form of highest degree of the implicit equation of a rational surface, defined by means of a rational parametrization. Determining the form of highest degree is useful to study the asymptotic behavior of the surface, to perform surface recognition, or to study symmetries of surfaces, among other applications. The method is efficient, and works generally better than known algorithms for implicitizing the whole surface, in the absence of base points blowing up to a curve at infinity. Possibilities to compute the form of highest degree of the implicit equation under the presence of such base points are also discussed. We provide timings to compare our method with known methods for computing the whole implicit equation of the surface, both in absence and in presence of base points blowing up to a curve at infinity.
PB Elsevier
SN 0196-8858
YR 2020
FD 2020-11-09
LK http://hdl.handle.net/10017/49550
UL http://hdl.handle.net/10017/49550
LA eng
NO Agencia Estatal de Investigación
DS MINDS@UW
RD 26-abr-2024