3 papers
cs.CG2022
Computing a Dirichlet domain for a hyperbolic surface
Vincent Despré, Benedikt Kolbe, Hugo Parlier +1
The goal of this paper is to exhibit and analyze an algorithm that takes a given closed orientable hyperbolic surface and outputs an explicit Dirichlet domain. The input is a funda…
cs.CG2021
Delaunay triangulations of generalized Bolza surfaces
Matthijs Ebbens, Iordan Iordanov, Monique Teillaud +1
The Bolza surface can be seen as the quotient of the hyperbolic plane, represented by the Poincaré disk model, under the action of the group generated by the hyperbolic isometries…
cs.CG2019
Flipping Geometric Triangulations on Hyperbolic Surfaces
Vincent Despré, Jean-Marc Schlenker, Monique Teillaud
We consider geometric triangulations of surfaces, i.e., triangulations whose edges can be realized by disjoint locally geodesic segments. We prove that the flip graph of geometric…