Systole of regular hyperbolic surfaces with an application to Delaunay triangulations

Matthijs Ebbens (1) , Iordan Iordanov (2) , Monique Teillaud (2) , Gert Vegter (1)

1 Bernoulli Institute for Mathematics and Computer Science and Artificial Intelligence
2 GAMBLE - Geometric Algorithms and Models Beyond the Linear and Euclidean realm

The talk presents results regarding the properties of some symmetric hyperbolic surfaces of genus at least 2, with an application to the computation of Delaunay triangulations of such surfaces.

Domaines: Géométrie algorithmique [cs.CG]; Géométrie métrique [math.MG]

Matthijs Ebbens, Iordan Iordanov, Monique Teillaud, Gert Vegter. Systole of regular hyperbolic surfaces with an application to Delaunay triangulations. 9th International Conference on Curves and Surfaces, Jun 2018, Arcachon, France. ⟨hal-01803443⟩