34 citations · 111 across the 16 of their papers we have counts for
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cs.SC2009
Local Shape of Generalized Offsets to Algebraic Curves
Juan Gerardo Alcazar
In this paper we study the local behavior of an algebraic curve under a geometric construction which is a variation of the usual offsetting construction, namely the {\it generalize…
cs.SC2009★ 13 cited
Topology of 2D and 3D Rational Curves
Juan Gerardo Alcazar, Gema Maria Diaz-Toca
In this paper we present algorithms for computing the topology of planar and space rational curves defined by a parametrization. The algorithms given here work directly with the pa…
cs.SC2009
On the Different Shapes Arising in a Family of Rational Curves Depending on a Parameter
Juan Gerardo Alcazar
Given a family of rational curves depending on a real parameter, defined by its parametric equations, we provide an algorithm to compute a finite partition of the parameter space (…