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Robust and Efficient Delaunay triangulations of points on or close to a sphere (2009)

Abstract
We propose two approaches for computing the Delaunay triangulation of points on a sphere, or of rounded points close to a sphere, both based on the classic incremental algorithm initially designed for the plane. The space of circles gives the mathematical background for this work. We implemented the two approaches in a fully robust way, building upon existing generic algorithms provided by the cgal library. The effciency and scalability of the method is shown by benchmarks.

Publication details
Download HAL:http://hal.inria.fr/inria-00405478/en/, http://hal.inria.fr/docs/00/40/54/78/PDF/DT_sphere_RR.pdf
Publisher HAL - CCSD
Repository CCSd/HAL : e-articles server (based on gBUS) (France)
Keywords [INFO:INFO_CG] Computer Science/Computational Geometry, Computational Geometry, Delaunay Triangulation, Voronoi Diagram, Sphere, Space of Circles, Exact Geometric Computing, CGAL
Type text
Language English