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» On the boundary complexity of the union of fat triangles
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COMPGEOM
2009
ACM
13 years 11 months ago
Epsilon nets and union complexity
We consider the following combinatorial problem: given a set of n objects (for example, disks in the plane, triangles), and an integer L ≥ 1, what is the size of the smallest su...
Kasturi R. Varadarajan
COMPGEOM
2010
ACM
13 years 9 months ago
Better bounds on the union complexity of locally fat objects
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...
Mark de Berg
COMGEO
2010
ACM
13 years 4 months ago
The complexity of flow on fat terrains and its i/o-efficient computation
We study the complexity and the I/O-efficient computation of flow on triangulated terrains. We present an acyclic graph, the descent graph, that enables us to trace flow paths in ...
Mark de Berg, Otfried Cheong, Herman J. Haverkort,...
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, ...