27 citations · 113 across the 12 of their papers we have counts for
5 papers · 1 filter
Asymptotes and Perfect Curves
Angel Blasco, Sonia Pérez-Díaz
We develop a method for computing all the {\it generalized asymptotes} of a real plane algebraic curve over implicitly defined by an irreducible polynomial $f(x,y…
Characterization of Rational Ruled Surfaces
Sonia Perez-Diaza, Liyong Shen
The ruled surface is a typical modeling surface in computer aided geometric design. It is usually given in the standard parametric form. However, it can also be in the forms than t…
Determination and (re)parametrization of rational developable surfaces
Sonia Perez-Diaz, Li-Yong Shen
The developable surface is an important surface in computer aided design, geometric modeling and industrial manufactory. It is often given in the stan- dard parametric form, but it…
Numerical Reparametrization of Rational Parametric Plane Curves
Sonia Perez-Diaz, Li-Yong Shen
In this paper, we present an algorithm for reparametrizing algebraic plane curves from a numerical point of view. That is, we deal with mathematical objects that are assumed to be…
Asymptotic Behavior of an Implicit Algebraic Plane Curve
A. Blasco, S. Perez-Diaz
In this paper, we introduce the notion of infinity branches as well as approaching curves. We present some properties which allow us to obtain an algorithm that compares the behavi…