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COMPGEOM
2000
ACM
14 years 3 months ago
Pitfalls in computing with pseudorandom determinants
It has been known for 30 years that pseudorandom number generators in the class of linear congruential generators (LCG) exhibit strong and predictable regularities. A widely used ...
Bernd Gärtner
COMPGEOM
2000
ACM
14 years 3 months ago
When crossings count - approximating the minimum spanning tree
We present an (1+ε)-approximation algorithm for computing the minimum-spanning tree of points in a planar arrangement of lines, where the metric is the number of crossings betwee...
Sariel Har-Peled, Piotr Indyk
COMPGEOM
2000
ACM
14 years 3 months ago
Look - a Lazy Object-Oriented Kernel for geometric computation
In this paper we describe and discuss a new kernel design for geometric computation in the plane. It combines different kinds of floating-point filter techniques and a lazy eval...
Stefan Funke, Kurt Mehlhorn
COMPGEOM
2000
ACM
14 years 3 months ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia
COMPGEOM
2000
ACM
14 years 2 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...