  Recently, simple conditions for well-behaved-ness of anisotropic Voronoi
diagrams have been proposed. While these conditions ensure well-behaved-ness of
two types of practical anisotropic Voronoi diagrams, as well as the
geodesic-distance one, in any dimension, they are both prohibitively expensive
to evaluate, and not well-suited for typical problems in approximation or
optimization. We propose simple conditions that can be efficiently evaluated,
and are better suited to practical problems of approximation and optimization.
The practical utility of this analysis is enhanced by the fact that orphan-free
anisotropic Voronoi diagrams have embedded triangulations as duals.
