Dillencourt (1990) gives a constructive proof for the realizability as
a Delaunay triangulation of any triangulation of the interior of a si
mple polygon A naive implementation of the construction will take O(n(
2)) time. I give a simple O(n) algorithm for this problem. An applicat
ion of this algorithm is generating test data for algorithms that proc
ess convex polygons. (C) 1997 Elsevier Science B.V.