34 citations · 111 across the 16 of their papers we have counts for
14 papers · 1 filter
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…
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…
On the computation of the straight lines contained in a rational surface
Juan Gerardo Alcázar, Jorge Caravantes
In this paper we present an algorithm to compute the (real and complex) straight lines contained in a rational surface, defined by a rational parameterization. The algorithm relies…
Similarity detection of rational space curves
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
We provide an algorithm to check whether two rational space curves are related by a similarity. The algorithm exploits the relationship between the curvatures and torsions of two s…