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120
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COMPGEOM
2009
ACM
15 years 10 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 10 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
118
Voted
COMPGEOM
2009
ACM
15 years 10 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 ...
109
Voted
COMPGEOM
2009
ACM
15 years 10 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 10 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...