RT info:eu-repo/semantics/article
T1 Missing sets in rational parametrizations of surfaces of revolution
A1 Sendra Pons, Juan Rafael
A1 Sevilla, David
A1 Villarino Cabellos, Carlos
K1 Revolution surface
K1 Rational parametrization
K1 Critical set
K1 Covering parametrization
K1 Real algebraic surface
K1 Geometric computation
K1 Ciencia
K1 Matemáticas
K1 Science
K1 Mathematics
AB Parametric representations do not cover, in general, the whole geometric object that they parametrize.This can be a problem in practical applications. In this paper we analyze the question for surfaces of revolution generated by real rational profile curves, and we describe a simple small superset of the real zone of the surface not covered by the parametrization. This superset consists, in the worst case, of the unionof a circle and the mirror curve of the profile curve.
PB Elsevier
YR 2015
FD 2015-04-01
LK http://hdl.handle.net/10017/39746
UL http://hdl.handle.net/10017/39746
LA eng
NO Ministerio de Ciencia e Innovación
DS MINDS@UW
RD 20-abr-2024