Further Results on Arithmetic Filters for Geometric Predicates

Olivier Devillers 1 Franco Preparata
1 PRISME - Geometry, Algorithms and Robotics
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : An efficient technique to solve precision problems consists in using exact computations. For geometric predicates, using systematically expensive exact computations can be avoided by the use of filters. The predicate is first evaluated using rounding computations, and an error estimation gives a certificate of the validity of the result. In this note, we studies the statistical efficiency of filters for cosphericity predicate with an assumption of regular distribution of the points.
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Olivier Devillers, Franco Preparata. Further Results on Arithmetic Filters for Geometric Predicates. RR-3528, INRIA. 1998. ⟨inria-00073157⟩

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