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COMPGEOM
1994
ACM
13 years 11 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...
WADS
2007
Springer
113views Algorithms» more  WADS 2007»
14 years 1 months ago
On Computing the Centroid of the Vertices of an Arrangement and Related Problems
We consider the problem of computing the centroid of all the vertices in a non-degenerate arrangement of n lines. The trivial approach requires the enumeration of all `n 2 ´ verti...
Deepak Ajwani, Saurabh Ray, Raimund Seidel, Hans R...
CORR
2011
Springer
206views Education» more  CORR 2011»
13 years 2 months ago
Arrangement Computation for Planar Algebraic Curves
We present a new certified and complete algorithm to compute arrangements of real planar algebraic curves. Our algorithm provides a geometric-topological analysis of the decompos...
Eric Berberich, Pavel Emeliyanenko, Alexander Kobe...
COMPGEOM
1995
ACM
13 years 11 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
ATAL
2007
Springer
14 years 1 months ago
A complete distributed constraint optimization method for non-traditional pseudotree arrangements
Distributed Constraint Optimization (DCOP) is a general framework that can model complex problems in multi-agent systems. Several current algorithms that solve general DCOP instan...
James Atlas, Keith Decker