32 citations · 58 across the 12 of their papers we have counts for
3 papers · 1 filter
On the square-freeness of the offset equation to a rational planar curve
Juan Gerardo Alcázar, Jorge Caravantes, Gema M. Diaz-Toca
It is well known that an implicit equation of the offset to a rational planar curve can be computed by removing the extraneous components of the resultant of two certain polynomial…
On the Problem of Detecting When Two Implicit Plane Algebraic Curves Are Similar
Juan Gerardo Alcázar, Gema M. Diaz-Toca, Carlos Hermosa
We make use of the complex implicit representation in order to provide a deterministic algorithm for checking whether or not two implicit algebraic curves are related by a similari…
A new method to compute the singularities of offsets to rational plane curves
Juan Gerardo Alcázar, Jorge Caravantes, Gema M. Diaz-Toca
Given a planar curve defined by means of a real rational parametrization, we prove that the affine values of the parameter generating the real singularities of the offset are real…