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COMPGEOM
2006
ACM
15 years 10 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote
COMPGEOM
2006
ACM
15 years 10 months ago
Algorithms for two-box covering
We study the problem of covering a set of points or polyhedra in 3 with two axis-aligned boxes in order to minimize a function of the measures of the two boxes, such as the sum or...
Esther M. Arkin, Gill Barequet, Joseph S. B. Mitch...
COMPGEOM
2006
ACM
15 years 10 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
146
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COMPGEOM
2006
ACM
15 years 10 months ago
Engineering a compact parallel delaunay algorithm in 3D
We describe an implementation of a compact parallel algorithm for 3D Delaunay tetrahedralization on a 64-processor shared-memory machine. Our algorithm uses a concurrent version o...
Daniel K. Blandford, Guy E. Blelloch, Clemens Kado...
COMPGEOM
2006
ACM
15 years 10 months ago
Envelope surfaces
We construct a class of envelope surfaces in Rd , more precisely envelopes of balls. An envelope surface is a closed C1 (tangent continuous) manifold wrapping tightly around the u...
Nico Kruithof, Gert Vegter
Discrete Geometry
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