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COMPGEOM
1995
ACM
15 years 4 months ago
A New Technique for Analyzing Substructures in Arrangements
We present a simple but powerful new probabilistic technique for analyzing the combinatorial complexity of various substructures in arrangements of piecewise-linear surfaces in hig...
Boaz Tagansky
COMPGEOM
1995
ACM
15 years 4 months ago
How Good are Convex Hull Algorithms?
A convex polytope P can be speci ed in two ways: as the convex hull of the vertex set V of P, or as the intersection of the set H of its facet-inducing halfspaces. The vertex enum...
David Avis, David Bremner
COMPGEOM
1995
ACM
15 years 4 months ago
The Rectangle Enclosure and Point-Dominance Problems Revisited
We consider the problem of reporting the pairwise enclosures in a set of n axesparallel rectangles in IR2, which is equivalent to reporting dominance pairs in a set of n points in...
Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid...
101
Voted
COMPGEOM
1995
ACM
15 years 4 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
96
Voted
COMPGEOM
1995
ACM
15 years 4 months ago
Searching for the Kernel of a Polygon - A Competitive Strategy
We present a competitive strategy for walking into the kernel of an initially unknown star-shaped polygon. From an arbitrary start point, s, within the polygon, our strategy find...
Christian Icking, Rolf Klein
Discrete Geometry
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