Skip to Main content Skip to Navigation
Conference papers

Interval Arithmetic: an efficient implementation and an application to computational geometry

Sylvain Pion 1
1 PRISME - Geometry, Algorithms and Robotics
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We discuss interval techniques for speeding up the exact evaluation of geometric predicates and describe a C++ 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 geometric predicates. We validate our approach experimentally, comparing it with other static, dynamic and semi-static filters.
Complete list of metadata

https://hal.inria.fr/inria-00344513
Contributor : Sylvain Pion <>
Submitted on : Friday, December 5, 2008 - 1:06:11 AM
Last modification on : Saturday, January 27, 2018 - 1:31:48 AM
Long-term archiving on: : Monday, June 7, 2010 - 11:47:00 PM

File

Misc_99.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00344513, version 1

Collections

Citation

Sylvain Pion. Interval Arithmetic: an efficient implementation and an application to computational geometry. Workshop on Applications of Interval Analysis to systems and Control (MISC), Feb 1999, Girona, Spain. ⟨inria-00344513⟩

Share

Metrics

Record views

294

Files downloads

358