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» Binary plane partitions for disjoint line segments
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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
COMPGEOM
2009
ACM
13 years 11 months ago
Shooting permanent rays among disjoint polygons in the plane
We present a data structure for ray shooting-and-insertion in the free space among disjoint polygonal obstacles with a total of n vertices in the plane, where each ray starts at t...
Mashhood Ishaque, Bettina Speckmann, Csaba D. T&oa...
CCCG
2007
13 years 6 months ago
Disjoint Segments Have Convex Partitions with 2-Edge Connected Dual Graphs
The empty space around n disjoint line segments in the plane can be partitioned into n + 1 convex faces by extending the segments in some order. The dual graph of such a partition...
Nadia Benbernou, Erik D. Demaine, Martin L. Demain...
COMGEO
2010
ACM
13 years 5 months ago
Pointed binary encompassing trees: Simple and optimal
For n disjoint line segments in the plane we construct in optimal O(n log n) time and linear space an encompassing tree of maximum degree three such that at every vertex all incid...
Michael Hoffmann, Bettina Speckmann, Csaba D. T&oa...
SWAT
2004
Springer
108views Algorithms» more  SWAT 2004»
13 years 10 months ago
Pointed Binary Encompassing Trees
For n disjoint line segments in the plane we can construct a binary encompassing tree such that every vertex is pointed, what’s more, at every segment endpoint all incident edges...
Michael Hoffmann, Bettina Speckmann, Csaba D. T&oa...