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COMPGEOM
2000
ACM
14 years 3 months ago
Delaunay triangulations and Voronoi diagrams for Riemannian manifolds
For a sufficiently dense set of points in any closed Riemannian manifold, we prove that a unique Delannay triangulation exists. This triangulation has the same properties as in Eu...
Greg Leibon, David Letscher
COMPGEOM
2000
ACM
14 years 3 months ago
An algorithm for searching a polygonal region with a flashlight
Steven M. LaValle, Borislav H. Simov, Giora Slutzk...
COMPGEOM
2000
ACM
14 years 3 months ago
Fast computation of generalized Voronoi diagrams using graphics hardware
: We present a new approach for computing generalized Voronoi diagrams in two and three dimensions using interpolation-based polygon rasterization hardware. The input primitives ma...
Kenneth E. Hoff III, Tim Culver, John Keyser, Ming...
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
Kinetic connectivity for unit disks
We describe a kinetic data structure (KDS) that maintains the connected components of the union of a set of unit-radius disks moving in the plane. We assume that the motion of eac...
Leonidas J. Guibas, John Hershberger, Subhash Suri...
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
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
A trace bound for the hereditary discrepancy
Let A be the incidence matrix of a set system with m sets and n points, m ≤ n, and let t = tr M, where M = AT A. Finally, let σ = tr M2 be the sum of squares of the elements of ...
Bernard Chazelle, Alexey Lvov