How to determine if a Delaunay triangle is internal or external?

Question

I am writing a program that requires a implementation of Medial Axis extraction, of which Delaunay triangulation is a step. External medial axis is unwanted so the correspon

Answer 1

The algorithm that they present looks like it is a bit broken, as they show in one of their figures, and this may be the reason that there don't appear to be any useful citations in Google Scholar.

Using their proposed algorithm on a non-convex polygon shows that it does not always recover an actual triangulation. http://www.cc.kyoto-su.ac.jp/~atsushi/Jun/Topics/Teddy/images/example2_2.jpg