Perturbations for Delaunay and weighted Delaunay 3D Triangulations
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.
Domains
Computational Geometry [cs.CG]Origin | Files produced by the author(s) |
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