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COMPGEOM
2007
ACM
13 years 8 months ago
On approximate halfspace range counting and relative epsilon-approximations
The paper consists of two major parts. In the first part, we re-examine relative -approximations, previously studied in [12, 13, 18, 25], and their relation to certain geometric p...
Boris Aronov, Sariel Har-Peled, Micha Sharir
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
SIAMCOMP
2010
85views more  SIAMCOMP 2010»
13 years 3 months ago
Approximate Halfspace Range Counting
Boris Aronov, Micha Sharir
SODA
2010
ACM
202views Algorithms» more  SODA 2010»
14 years 2 months ago
Counting Inversions, Offline Orthogonal Range Counting, and Related Problems
We give an O(n lg n)-time algorithm for counting the number of inversions in a permutation on n elements. This improves a long-standing previous bound of O(n lg n/ lg lg n) that ...
Timothy M. Chan, Mihai Patrascu
WADS
2007
Springer
128views Algorithms» more  WADS 2007»
13 years 10 months ago
Approximate Range Searching: The Absolute Model
Range searching is a well known problem in the area of geometric data structures. We consider this problem in the context of approximation, where an approximation parameter ε >...
Guilherme Dias da Fonseca