THE STABILITY OF DELAUNAY TRIANGULATIONS
JEAN-DANIEL BOISSONNAT, RAMSAY DYER, ARIJIT GHOSH · International Journal of Computational Geometry & Applications · 2013
We introduce a parametrized notion of genericity for Delaunay triangulations which, in particular, implies that the Delaunay simplices of δ-generic point sets are thick. Equipped with this notion, we study the stability of Delaunay triangulations under perturbations of the metric and of the vertex positions. We quantify the magnitude of the perturbations under which the Delaunay triangulation remains unchanged.