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COMPGEOM
2009
ACM
15 years 4 months ago
Straight skeletons of three-dimensional polyhedra
This paper studies the straight skeleton of polyhedra in three dimensions. We first address voxel-based polyhedra (polycubes), formed as the union of a collection of cubical (axis...
Gill Barequet, Amir Vaxman
COMPGEOM
2009
ACM
15 years 4 months ago
PTAS for geometric hitting set problems via local search
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...
Nabil H. Mustafa, Saurabh Ray
COMPGEOM
2009
ACM
15 years 4 months ago
Incremental construction of the delaunay triangulation and the delaunay graph in medium dimension
We describe a new implementation of the well-known incremental algorithm for constructing Delaunay triangulations in any dimension. Our implementation follows the exact computing ...
Jean-Daniel Boissonnat, Olivier Devillers, Samuel ...
COMPGEOM
2009
ACM
15 years 4 months ago
On grids in topological graphs
A topological graph is a graph drawn in the plane with vertices represented by points and edges as arcs connecting its vertices. A k-grid in a topological graph is a pair of edge ...
Eyal Ackerman, Jacob Fox, János Pach, Andre...
COMPGEOM
2009
ACM
15 years 4 months ago
On the set multi-cover problem in geometric settings
We consider the set multi-cover problem in geometric settings. Given a set of points P and a collection of geometric shapes (or sets) F, we wish to nd a minimum cardinality subse...
Chandra Chekuri, Kenneth L. Clarkson, Sariel Har-P...