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COMPGEOM
1997
ACM
13 years 9 months ago
Computing Exact Geometric Predicates Using Modular Arithmetic with Single Precision
Abstract: We propose an e cient method that determines the sign of a multivariate polynomial expression with integer coe cients. This is a central operation on which the robustness...
Hervé Brönnimann, Ioannis Z. Emiris, V...
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
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...
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, ...
IFIP
1998
Springer
13 years 9 months ago
One Sided Error Predicates in Geometric Computing
A conservative implementation of a predicate returns true only if the exact predicate is true. That is, we accept a one sided error for the implementation. For geometric predicate...
Lutz Kettner, Emo Welzl