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COMPGEOM
2000
ACM
15 years 7 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
15 years 7 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
1997
ACM
15 years 7 months ago
Cylindrical Static and Kinetic Binary Space Partitions
We describe the first known algorithm for efficiently maintaining a Binary Space Partition (BSP) for n continuously moving segments in the plane, whose interiors remain disjoint...
Pankaj K. Agarwal, Leonidas J. Guibas, T. M. Mural...
126
Voted
COMPGEOM
1995
ACM
15 years 6 months ago
Approximate Range Searching
The range searching problem is a fundamental problem in computational geometry, with numerous important applications. Most research has focused on solving this problem exactly, bu...
Sunil Arya, David M. Mount
112
Voted
COMPGEOM
2000
ACM
15 years 7 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