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COMGEO
2004
ACM
13 years 8 months ago
The weighted farthest color Voronoi diagram on trees and graphs
Let n point sites be situated on the vertices or edges of a geometric graph G over e edges. Each site can be assigned a multiplicative weight and a color. We discuss the complexit...
Ferran Hurtado, Rolf Klein, Elmar Langetepe, Vera ...
COMGEO
2004
ACM
13 years 8 months ago
Box-trees for collision checking in industrial installations
ded abstract of this chapter appeared as: Herman J. Haverkort, Mark de Berg and Joachim Gudmundsson: Box-trees for collision checking in industrial installations, in Proc. 18th ACM...
Herman J. Haverkort, Mark de Berg, Joachim Gudmund...
COMGEO
2004
ACM
13 years 8 months ago
A local search approximation algorithm for k-means clustering
In k-means clustering we are given a set of n data points in d-dimensional space d and an integer k, and the problem is to determine a set of k points in d , called centers, to mi...
Tapas Kanungo, David M. Mount, Nathan S. Netanyahu...
COMGEO
2004
ACM
13 years 8 months ago
Facility location and the geometric minimum-diameter spanning tree
Joachim Gudmundsson, Herman J. Haverkort, Sang-Min...
COMGEO
2004
ACM
13 years 8 months ago
A global approach to automatic solution of jigsaw puzzles
We present a new algorithm for automatically solving jigsaw puzzles byshapealone.Thealgorithm cansolvemore difficult puzzlesthan couldbesolved before, without the use of backtracki...
David Goldberg, Christopher Malon, Marshall W. Ber...
COMGEO
2004
ACM
13 years 8 months ago
A multi-dimensional approach to force-directed layouts of large graphs
We present a novel hierarchical force-directed method for drawing large graphs. Given a graph G = (V,E), the algorithm produces an embedding for G in an Euclidean space E of any d...
Pawel Gajer, Michael T. Goodrich, Stephen G. Kobou...
COMGEO
2004
ACM
13 years 8 months ago
Speeding up the incremental construction of the union of geometric objects in practice
We present a new incremental algorithm for constructing the union of n triangles in the plane. In our experiments, the new algorithm, which we call the Disjoint-Cover (DC) algorit...
Eti Ezra, Dan Halperin, Micha Sharir
COMGEO
2004
ACM
13 years 8 months ago
Tiling space and slabs with acute tetrahedra
We show it is possible to tile three-dimensional space using only tetrahedra with acute dihedral angles. We present several constructions to achieve this, including one in which a...
David Eppstein, John M. Sullivan, Alper Üng&o...
COMGEO
2004
ACM
13 years 8 months ago
Expected time analysis for Delaunay point location
We consider point location in Delaunay triangulations with the aid of simple data structures. In particular, we analyze methods in which a simple data structure is used to first lo...
Luc Devroye, Christophe Lemaire, Jean-Michel Morea...