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SWAT
2004
Springer
108views Algorithms» more  SWAT 2004»
14 years 5 days 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...
COMGEO
2010
ACM
13 years 7 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...
CORR
2011
Springer
215views Education» more  CORR 2011»
13 years 1 months ago
The total path length of split trees
We consider the model of random trees introduced by Devroye [SIAM J Comput 28, 409– 432, 1998]. The model encompasses many important randomized algorithms and data structures. T...
Nicolas Broutin, Cecilia Holmgren
SIAMCOMP
1998
114views more  SIAMCOMP 1998»
13 years 6 months ago
Universal Limit Laws for Depths in Random Trees
Random binary search trees, b-ary search trees, median-of-(2k+1) trees, quadtrees, simplex trees, tries, and digital search trees are special cases of random split trees. For these...
Luc Devroye
CGF
2010
179views more  CGF 2010»
13 years 7 months ago
Binary Orientation Trees for Volume and Surface Reconstruction from Unoriented Point Clouds
Given a complete unoriented point set, we propose a binary orientation tree (BOT) for volume and surface representation, which roughly splits the space into the interior and exter...
Yi-Ling Chen, Bing-Yu Chen, Shang-Hong Lai, Tomoyu...