An efficient implementation of Delaunay triangulations in medium dimensions

Samuel Hornus 1 Jean-Daniel Boissonnat 1
1 GEOMETRICA - Geometric computing
CRISAM - Inria Sophia Antipolis - Méditerranée , Inria Saclay - Ile de France
Abstract : We propose a new C++ implementation of the well-known incremental algorithm for the construction of Delaunay triangulations in any dimension. Our implementation follows the exact computing paradigm and is fully robust. Extensive comparisons have shown that our implementation outperforms the best currently available codes for convex hulls and Delaunay triagulations, and that it can be used for quite big input sets in spaces of dimensions up to 6.
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Samuel Hornus, Jean-Daniel Boissonnat. An efficient implementation of Delaunay triangulations in medium dimensions. [Research Report] RR-6743, INRIA. 2008, pp.15. ⟨inria-00343188⟩

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