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CORR
2011
Springer
171views Education» more  CORR 2011»
12 years 8 months ago
Orthogonal Range Searching on the RAM, Revisited
We present a number of new results on one of the most extensively studied topics in computational geometry, orthogonal range searching. All our results are in the standard word RA...
Timothy M. Chan, Kasper Green Larsen, Mihai Patras...
WADS
2009
Springer
268views Algorithms» more  WADS 2009»
13 years 11 months ago
Succinct Orthogonal Range Search Structures on a Grid with Applications to Text Indexing
We present a succinct representation of a set of n points on an n × n grid using n lg n + o(n lg n) bits3 to support orthogonal range counting in O(lg n/ lg lg n) time, and range ...
Prosenjit Bose, Meng He, Anil Maheshwari, Pat Mori...
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