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COMPGEOM
2006
ACM
13 years 11 months ago
Minimum-cost coverage of point sets by disks
We consider a class of geometric facility location problems in which the goal is to determine a set X of disks given by their centers (tj) and radii (rj) that cover a given set of...
Helmut Alt, Esther M. Arkin, Hervé Brö...
COMPGEOM
2006
ACM
13 years 11 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,...
COMPGEOM
2005
ACM
13 years 6 months ago
The Visibility-Voronoi Complex and Its Applications
We introduce a new type of diagram called the VV(c)-diagram (the visibility–Voronoi diagram for clearance c), which is a hybrid between the visibility graph and the Voronoi diag...
Ron Wein, Jur P. van den Berg, Dan Halperin
COMPGEOM
2006
ACM
13 years 11 months ago
Locked and unlocked chains of planar shapes
We extend linkage unfolding results from the well-studied case of polygonal linkages to the more general case of linkages of polygons. More precisely, we consider chains of nonove...
Robert Connelly, Erik D. Demaine, Martin L. Demain...
COMPGEOM
2007
ACM
13 years 6 months ago
Between umbra and penumbra
Computing shadow boundaries is a difficult problem in the case of non-point light sources. A point is in the umbra if it does not see any part of any light source; it is in full l...
Julien Demouth, Olivier Devillers, Hazel Everett, ...