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COMGEO
1999
ACM
13 years 5 months ago
Further results on arithmetic filters for geometric predicates
Olivier Devillers, Franco P. Preparata
COMPGEOM
2000
ACM
13 years 9 months ago
Algebraic methods and arithmetic filtering for exact predicates on circle arcs
The purpose of this paper is to present a new method to design exact geometric predicates in algorithms dealing with curved objects such as circular arcs. We focus on the comparis...
Olivier Devillers, Alexandra Fronville, Bernard Mo...
DCG
1998
59views more  DCG 1998»
13 years 5 months ago
A Probabilistic Analysis of the Power of Arithmetic Filters
The assumption of real-number arithmetic, which is at the basis of conventional geometric algorithms, has been seriously challenged in recent years, since digital computers do not...
Olivier Devillers, Franco P. Preparata
COMPGEOM
1998
ACM
13 years 9 months ago
Interval Arithmetic Yields Efficient Dynamic Filters for Computational Geometry
We discuss floating-point filters as a means of restricting the precision needed for arithmetic operations while still computing the exact result. We show that interval techniques...
Hervé Brönnimann, Christoph Burnikel, ...
COMPGEOM
1996
ACM
13 years 9 months ago
Robust Adaptive Floating-Point Geometric Predicates
Fast C implementations of four geometric predicates, the 2D and 3D orientation and incircle tests, are publicly available. Their inputs are ordinary single or double precision flo...
Jonathan Richard Shewchuk