41 citations · 205 across the 18 of their papers we have counts for
7 papers · 1 filter
Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design
Juan Gerardo Alcázar, Georg Muntingh
We introduce a characterization for affine equivalence of two surfaces of translation defined by either rational or meromorphic generators. In turn, this induces a similar characte…
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…
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…
Symmetry Detection of Rational Space Curves from their Curvature and Torsion
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
We present a novel, deterministic, and efficient method to detect whether a given rational space curve is symmetric. By using well-known differential invariants of space curves, na…
Detecting Similarity of Rational Plane Curves
Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
A novel and deterministic algorithm is presented to detect whether two given rational plane curves are related by means of a similarity, which is a central question in Pattern Reco…
Detecting Symmetries of Rational Plane and Space Curves
J. G. Alcázar, C. Hermoso, G. Muntingh
This paper addresses the problem of determining the symmetries of a plane or space curve defined by a rational parametrization. We provide effective methods to compute the involuti…