A Fast Algorithm for Constructing Constrained Delaunay Triangulation

Abstract

This paper presents a fast incremental insertion algorithm for constructing constrained Delaunay triangulation. Constraints are considered any kind of polygonal lines. The bottleneck of incremental Delaunay triangulation algorithm is the search for a triangle containing current integrating point. The advantage of our algorithm over the others is that we used an efficient Skvortsov's algorithm, dynamic uniform grid. It is used to insert point into an existing triangulation. A topology model is used to represent a triangle network so that we can easily and fast locate a point in a triangulation. The rest of algorithm presents a method for constrained edges, already proposed by Anglada. The algorithm is fast and easy to implement.