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IJCGA
2006
85views more  IJCGA 2006»
13 years 7 months ago
Some Lower Bounds on Geometric Separability Problems
We obtain lower bounds in the algebraic computation tree model for deciding the separability of two disjoint point sets. In particular, we show (n log n) time lower bounds for sep...
Esther M. Arkin, Ferran Hurtado, Joseph S. B. Mitc...
COMPGEOM
1997
ACM
13 years 11 months ago
Cylindrical Static and Kinetic Binary Space Partitions
We describe the first known algorithm for efficiently maintaining a Binary Space Partition (BSP) for n continuously moving segments in the plane, whose interiors remain disjoint...
Pankaj K. Agarwal, Leonidas J. Guibas, T. M. Mural...
ISVD
2007
IEEE
14 years 1 months ago
Voronoi Diagram with Respect to Criteria on Vision Information
Voronoi diagram for a set of geometric objects is a partition of the plane (or space in higher dimensions) into disjoint regions each dominated by some given object under a predet...
Tetsuo Asano, Naoki Katoh, Hisao Tamaki, Takeshi T...
APVIS
2011
12 years 7 months ago
Edge maps: Representing flow with bounded error
Robust analysis of vector fields has been established as an important tool for deriving insights from the complex systems these fields model. Many analysis techniques rely on co...
Harsh Bhatia, Shreeraj Jadhav, Peer-Timo Bremer, G...
SIAMCOMP
1998
92views more  SIAMCOMP 1998»
13 years 7 months ago
Surface Approximation and Geometric Partitions
Motivated by applications in computer graphics, visualization, and scienti c computation, we study the computational complexity of the following problem: Given a set S of n points...
Pankaj K. Agarwal, Subhash Suri