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» Binary plane partitions for disjoint line segments
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91
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FSTTCS
2007
Springer
15 years 3 months ago
Triangulations of Line Segment Sets in the Plane
Given a set S of line segments in the plane, we introduce a new family of partitions of the convex hull of S called segment triangulations of S. The set of faces of such a triangul...
Mathieu Brévilliers, Nicolas Chevallier, Do...
88
Voted
IPL
2002
107views more  IPL 2002»
14 years 9 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
FSTTCS
2004
Springer
15 years 2 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
75
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COMPGEOM
1997
ACM
15 years 1 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...
JCDCG
2000
Springer
15 years 1 months ago
Generalized Balanced Partitions of Two Sets of Points in the Plane
We consider the following problem. Let n 2, b 1 and q 2 be integers. Let R and B be two disjoint sets of n red points and bn blue points in the plane, respectively, such that no...
Atsushi Kaneko, Mikio Kano