3 papers
cs.CG2024
Computation of symmetries of rational surfaces
Juan Juan Gerardo Alcázar, Carlos Hermoso, Hüsnü Anıl Çoban +1
In this paper we provide, first, a general symbolic algorithm for computing the symmetries of a given rational surface, based on the classical differential invariants of surfaces,…
math.AG2024
Detecting affine equivalences between certain types of parametric curves, in any dimension
Juan Gerardo Alcázar, Hüsnü Anıl Çoban, Uğur Gözütok
Two curves are affinely equivalent if there exists an affine mapping transforming one of them onto the other. Thus, detecting affine equivalence comprises, as important particular…
math.AG2021
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…