Algorithm 772
Robert J. Renka · ACM Transactions on Mathematical Software · 1997
STRIPACK is a Fortran 77 software package that employs an incremental algorithm to construct a Delaunay triangulation and, optionally, a Voronoi diagram of a set of points (nodes) on the surface of the unit sphere. The triangulation covers the convex hull of the nodes, which need not be the entire surface, while the Voronoi diagram covers the entire surface. The package provides a wide range of capabilities including an efficient means of updating the triangulation with nodal additions or deletions. For N nodes, the storage requirement for the triangulation is 13 N integer storage locations in addition to 3 N nodal corrdinates. Using an off-line algorithm and work space of size 3 N , the triangulation can be constructed with time complexity O(NlogN) .