1 citations · 1 across the 1 of their papers we have counts for
4 papers
Direct transformation from Cartesian into geodetic coordinates on a triaxial ellipsoid
Gema M. Diaz-Toca, Leandro Marin, Ioana Necula
This paper presents two new direct symbolic-numerical algorithms for the transformation of Cartesian coordinates into geodetic coordinates considering the general case of a triaxia…
Computing the topology of a planar or space hyperelliptic curve
Juan Gerardo Alcázar, Jorge Caravantes, Gema M. Diaz-Toca +1
We present algorithms to compute the topology of 2D and 3D hyperelliptic curves. The algorithms are based on the fact that 2D and 3D hyperelliptic curves can be seen as the image o…
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…