29 citations · 41 across the 4 of their papers we have counts for
5 papers
Characterization of polynomial surfaces of revolution and polynomial quadrics
Michal Bizzarri, Miroslav Lávička, J. Rafael Sendra +1
In this paper, we characterize the polynomiality of surfaces of revolution by means of the polynomiality of an associated plane curve. In addition, if the surface of revolution is…
Sufficient conditions for the surjectivity of radical curve parametrizations
Jorce Caravantes, J. Rafael Sendra, David Sevilla +1
In this paper, we introduce the notion of surjective radical parametrization and we prove sufficient conditions for a radical curve parametrization to be surjective.
Algebraic and algorithmic aspects of radical parametrizations
J. Rafael Sendra, David Sevilla, Carlos Villarino
In this article algebraic constructions are introduced in order to study the variety defined by a radical parametrization (a tuple of functions involving complex numbers, varia…
Missing sets in rational parametrizations of surfaces of revolution
J. Rafael Sendra, David Sevilla, Carlos Villarino
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…
Radical Parametrization of Algebraic Curves by Adjoint Curves
J. Rafael Sendra, David Sevilla
We present algorithms for parametrizing by radicals an irreducible curve, not necessarily plane, when the genus is less o equal to 4 and they are defined over an algebraically clos…