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CCCG
2009
15 years 4 months ago
The Centervertex Theorem for Wedge Depth
There are many depth measures on point sets that yield centerpoint theorems. These theorems guarantee the existence of points of a specified depth, a kind of geometric median. How...
Gary L. Miller, Todd Phillips, Donald Sheehy
156
Voted
SI3D
2006
ACM
15 years 9 months ago
Jump flooding in GPU with applications to Voronoi diagram and distance transform
This paper studies jump flooding as an algorithmic paradigm in the general purpose computation with GPU. As an example application of jump flooding, the paper discusses a constant...
Guodong Rong, Tiow Seng Tan
119
Voted
TVCG
2010
162views more  TVCG 2010»
15 years 2 months ago
Computing Robustness and Persistence for Images
—We are interested in 3-dimensional images given as arrays of voxels with intensity values. Extending these values to a continuous function, we study the robustness of homology c...
Paul Bendich, Herbert Edelsbrunner, Michael Kerber
COMPGEOM
2009
ACM
15 years 10 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
134
Voted
STACS
2010
Springer
15 years 10 months ago
Long Non-crossing Configurations in the Plane
We revisit several maximization problems for geometric networks design under the non-crossing constraint, first studied by Alon, Rajagopalan and Suri (ACM Symposium on Computation...
Noga Alon, Sridhar Rajagopalan, Subhash Suri