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» Orthogonal Range Reporting in Three and Higher Dimensions
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FOCS
2009
IEEE
13 years 11 months ago
Orthogonal Range Reporting in Three and Higher Dimensions
In orthogonal range reporting we are to preprocess N points in d-dimensional space so that the points inside a d-dimensional axis-aligned query box can be reported efficiently. T...
Peyman Afshani, Lars Arge, Kasper Dalgaard Larsen
COMPGEOM
2010
ACM
13 years 10 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
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
CCCG
2003
13 years 6 months ago
Multidimensional Orthogonal Range Search Using Tries
We present a novel k-dimensional range search algorithm for reporting all k-d rectangles from a set D of size n intersecting a query rectangle. Our algorithm uses 2kd tries to sol...
Lingke Bu, Bradford G. Nickerson
CORR
2010
Springer
151views Education» more  CORR 2010»
13 years 3 months ago
Dynamic Range Reporting in External Memory
In this paper we describe a dynamic external memory data structure that supports range reporting queries in three dimensions in O(log2 B N + k B ) I/O operations, where k is the nu...
Yakov Nekrich