Sciweavers

COMPGEOM
1998
ACM

Interval Arithmetic Yields Efficient Dynamic Filters for Computational Geometry

14 years 4 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 can be used to speed up the exact evaluation of geometric predicates and describe an efficient implementation of interval arithmetic that is strongly influenced by the rounding modes of the widely used IEEE 754 standard. Using this approach we engineer an efficient floating-point filter for the computation of the sign of a determinant that works for arbitrary dimensions. We validate our approach experimentally, comparing it with other static, dynamic and semi-static filters.
Hervé Brönnimann, Christoph Burnikel,
Added 11 Aug 2010
Updated 11 Aug 2010
Type Conference
Year 1998
Where COMPGEOM
Authors Hervé Brönnimann, Christoph Burnikel, Sylvain Pion
Comments (0)