%0 Journal Article 
%A Sendra Pons, Juan Rafael
%A Sevilla, David
%A Villarino Cabellos, Carlos
%T Missing sets in rational parametrizations of surfaces of revolution
%D 2015
%U http://hdl.handle.net/10017/39746
%X 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 union
of a circle and the mirror curve of the profile curve.
%K Revolution surface
%K Rational parametrization
%K Critical set
%K Covering parametrization
%K Real algebraic surface
%K Geometric computation
%K Ciencia
%K Matemáticas
%K Science
%K Mathematics
%~ Biblioteca Universidad de Alcala