Gabriel meshes and Delaunay edge flips
Ramsay Dyer, Hao Ran Zhang, Torsten Bert Möller · 2009
We undertake a study of the local properties of 2-Gabriel meshes: manifold triangle meshes each of whose faces has an open Euclidean diametric ball that contains no mesh vertices. We show that, under mild constraints on the dihedral angles, such meshes are Delaunay meshes: the open geodesic circumdisk of each face contains no mesh vertex.