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» Optimal Binary Space Partitions in the Plane
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COCOON
2010
Springer
13 years 9 months ago
Optimal Binary Space Partitions in the Plane
Mark de Berg, Amirali Khosravi
COMPGEOM
2009
ACM
13 years 11 months ago
Binary plane partitions for disjoint line segments
A binary space partition (BSP) for a set of disjoint objects in Euclidean space is a recursive decomposition, where each step partitions the space (and some of the objects) along ...
Csaba D. Tóth
IPL
2002
107views more  IPL 2002»
13 years 4 months ago
Binary space partitions for axis-parallel line segments: Size-height tradeoffs
We present worst-case lower bounds on the minimum size of a binary space partition (BSP) tree as a function of its height, for a set S of n axis-parallel line segments in the plan...
Sunil Arya
COMPGEOM
1997
ACM
13 years 9 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...
FSTTCS
2004
Springer
13 years 10 months ago
Approximate Range Searching Using Binary Space Partitions
We show how any BSP tree TP for the endpoints of a set of n disjoint segments in the plane can be used to obtain a BSP tree of size O(n · depth(TP )) for the segments themselves, ...
Mark de Berg, Micha Streppel