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COMPGEOM
1996
ACM
15 years 2 months ago
On the Number of Arrangements of Pseudolines
Given a simple arrangementof n pseudolines in the Euclidean plane, associate with line i the list i of the lines crossing i in the order of the crossings on line i. i = ( i 1; i 2;...
Stefan Felsner
COMPGEOM
1993
ACM
15 years 1 months ago
Approximating Center Points with Iterated Radon Points
We give a practical and provably good Monte Carlo algorithm for approximating center points. Let P be a set of n points in IRd . A point c ∈ IRd is a β-center point of P if eve...
Kenneth L. Clarkson, David Eppstein, Gary L. Mille...
COMPGEOM
1994
ACM
15 years 1 months ago
Constructing Levels in Arrangements and Higher Order Voronoi Diagrams
We give simple randomized incremental algorithms for computing the k-level in an arrangement of n lines in the plane or in an arrangement of n planes in R3. The expected running ti...
Pankaj K. Agarwal, Mark de Berg, Jirí Matou...
COMPGEOM
1994
ACM
15 years 1 months ago
Competitive Searching in a Generalized Street
We consider the problem of a robot which has to find a target in an unknown simple polygon, based only on what it has seen so far. A street is a polygon for which the two boundary...
Amitava Datta, Christian Icking
COMPGEOM
1994
ACM
15 years 1 months ago
Almost Tight Upper Bounds for the Single Cell and Zone Problems in Three Dimensions
We consider the problem of bounding the combinatorial complexity of a single cell in an arrangement of n low-degree algebraic surface patches in 3-space. We show that this complex...
Dan Halperin, Micha Sharir