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» Orthogonal range reporting: query lower bounds, optimal stru...
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COMPGEOM
2010
ACM
13 years 9 months ago
Orthogonal range reporting: query lower bounds, optimal structures in 3-d, and higher-dimensional improvements
Orthogonal range reporting is the problem of storing a set of n points in d-dimensional space, such that the k points in an axis-orthogonal query box can be reported efficiently. ...
Peyman Afshani, Lars Arge, Kasper Dalgaard Larsen
CORR
2004
Springer
113views Education» more  CORR 2004»
13 years 4 months ago
A General Framework for Bounds for Higher-Dimensional Orthogonal Packing Problems
Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. In the context of a branch-and-bound framewo...
Sándor P. Fekete, Jörg Schepers
COMPGEOM
2009
ACM
13 years 11 months ago
A general approach for cache-oblivious range reporting and approximate range counting
We present cache-oblivious solutions to two important variants of range searching: range reporting and approximate range counting. Our main contribution is a general approach for ...
Peyman Afshani, Chris H. Hamilton, Norbert Zeh
COMPGEOM
2009
ACM
13 years 11 months ago
Cache-oblivious range reporting with optimal queries requires superlinear space
We consider a number of range reporting problems in two and three dimensions and prove lower bounds on the amount of space used by any cache-oblivious data structure for these pro...
Peyman Afshani, Chris H. Hamilton, Norbert Zeh
COMPGEOM
2011
ACM
12 years 8 months ago
Three problems about dynamic convex hulls
We present three results related to dynamic convex hulls: • A fully dynamic data structure for maintaining a set of n points in the plane so that we can find the edges of the c...
Timothy M. Chan