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COMPGEOM
1995
ACM
15 years 6 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 6 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 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
COMPGEOM
1995
ACM
15 years 6 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...
COMPGEOM
1995
ACM
15 years 6 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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