34 citations · 111 across the 16 of their papers we have counts for
21 papers
Nonzero Constant Wronskians of Polynomials and Laurent Polynomials, and Geometric Consequences
Carlos Hermoso, Juan Gerardo Alcázar
We characterize the polynomials whose Wronskian is a nonzero constant. Then, we generalize our results to characterize the Laurent polyno…
A new method to detect projective equivalences and symmetries of rational curves
Uğur Gözütok, Hüsnü Anıl Çoban, Yasemin Sağıroğlu +1
We present a new approach using differential invariants to detect projective equivalences and symmetries between two rational parametric curves properly parametrized. In order…
Affine equivalences, isometries and symmetries of ruled rational surfaces
Juan Gerardo Alcázar, Emily Quintero
A method is presented for computing all the affine equivalences between two rational ruled surfaces defined by rational parametrizations that works directly in parametric rational…
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…
Symmetries and similarities of planar algebraic curves using harmonic polynomials
Juan Gerardo Alcázar, Miroslav Lávička, Jan Vršek
We present novel, deterministic, efficient algorithms to compute the symmetries of a planar algebraic curve, implicitly defined, and to check whether or not two given implicit plan…
Symmetries of Canal Surfaces and Dupin Cyclides
Juan Gerardo Alcázar, Heidi E. I. Dahl, Georg Muntingh
We develop a characterization for the existence of symmetries of canal surfaces defined by a rational spine curve and rational radius function. In turn, this characterization inspi…