Indian Journal of Science and Technology

Abstract

A new method for detecting Delaunay edge by modifying the links in the star of a vertex is proposed. This is based on selecting vertex points of the input triangulation in such a way that the star formed from the selected point should belong to the given input set S. That star should not have any convex hull point and the edges connecting the selected vertex. The edges formed in the proposed method based on star formation are Delaunay edges since it satisfies the empty circle property. This is experimentally verified using two dimensional input data. Finally, Delaunay triangulation is obtained by joining the remaining edges which are validated and verified using the circumcircle property of Delaunay triangulation.

Keywords: Convex Hull, Delaunay Triangulation, Star Formation