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

Sylvain Pion (1)

1 PRISME - Geometry, Algorithms and Robotics

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.

Mots clés: Interval arithmetic; computational geometry; robustness; dynamic filters; C++ implementation

Domaines: Géométrie algorithmique [cs.CG]; Arithmétique des ordinateurs

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⟩