Abstract : The Delaunay triangulation and the weighted Delaunay triangulation are not uniquely defined when the input set is degenerate. We present a new symbolic perturbation that allows to always define these triangulations in a unique way, as soon as the points are not all coplanar. No flat tetrahedron exists in the defined triangulation. The perturbation scheme is easy to code; It is implemented in CGAL, and guarantees that both vertex insertion and vertex removal are fully robust.
https://hal.inria.fr/inria-00560388
Contributor : Olivier Devillers
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Submitted on : Friday, January 28, 2011 - 11:28:54 AM
Last modification on : Wednesday, October 30, 2019 - 7:36:17 PM
Long-term archiving on: Tuesday, November 6, 2012 - 12:31:06 PM
