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A decomposition of multi-dimensional point-sets with applications to k-nearest-neighbors and n-body potential fields (preliminary version)
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the twenty-fourth annual ACM symposium on Theory of computing table of contents
Victoria, British Columbia, Canada
Pages: 546 - 556  
Year of Publication: 1992
ISBN:0-89791-511-9
Authors
Paul B. Callahan  Computer Science Department, Johns Hopkins University, Baltimore, MD
S. Rao Kosaraju  Computer Science Department, Johns Hopkins University, Baltimore, MD
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 11,   Downloads (12 Months): 38,   Citation Count: 18
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ABSTRACT

We define the notion of a well-separated pair decomposition of points in d-dimensional space. We develop efficient sequential and parallel algorithms for computing such a decomposition. We apply the resulting decomposition to the efficient computation of k-nearest neighbors and n-body potential fields.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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J. H. Reif and S. R. Tare. The complexity of nbody simulation. (draft), Computer Science Dept., Duke University, 1992.
 
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P. M. Vaidya. An optimal algorithm for the allnearest-neighbors problem. In Proc. #Tth Annual Syrup. Found. Comp. Sc., pages 117-122, 1986.

CITED BY  18

Collaborative Colleagues:
Paul B. Callahan: colleagues
S. Rao Kosaraju: colleagues