| A decomposition of multi-dimensional point-sets with applications to k-nearest-neighbors and n-body potential fields (preliminary version) |
| Full text |
Pdf
(1.16 MB)
|
| 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 |
|
| Publisher |
|
| Bibliometrics |
Downloads (6 Weeks): 11, Downloads (12 Months): 38, Citation Count: 18
|
|
|
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.
| |
1
|
S. J. Aarseth, J. it. Gott III, and E. L. Turner. N-body simulations of galaxy clustering, i. Initial conditions and galaxy collapse times. The Astrophysical Journal, 228:664-683, 1979.
|
| |
2
|
|
| |
3
|
N. Abramson. Information Theory and Coding. McGraw-Hill, 1963.
|
| |
4
|
|
| |
5
|
|
| |
6
|
A. W. AppeL An efficient program for many-body simulation. SIAM 3. Sci. Stat. Comput., 6:85-103, 1985.
|
| |
7
|
J. Barnes and P. Hut. A hierarchical O(Nlog N) force-calculation algorithm. Nature, 324(4):446- 449, 1986.
|
 |
8
|
|
 |
9
|
|
| |
10
|
H. Gazit, G. L. Miller, and S.-H. Teng. Optimal tree contraction in the EREW model. In S. K. Tewsburg, B. W. Dickinson, and S. C. Schwartz, editors, Concurrent Computations, pages 139-155. Plenum Publishing, 1988.
|
| |
11
|
L. Greengard and W. D. Gropp. A parallel version of the fast multipole method. Computers Math. Applic., 20(7):63-71, 1990.
|
| |
12
|
|
| |
13
|
L. F. Greengard. The Rapid Evaluation of Potential Fields in Particle Systems. The MIT Press, 1{)88.
|
| |
14
|
|
| |
15
|
|
| |
16
|
R. H. Miller and K. H. Prendergast. Stellar dynamics in a discrete phase space. The Astrophysical 3ournal, 151:699-709, 1968.
|
| |
17
|
R. H. Miller, K. H. Prendergast, and W. J. Quirk. Numerical experiments on spiral structure. The Astrophysical Journal, 161:903-916, 1970.
|
| |
18
|
|
| |
19
|
J. H. Reif and S. R. Tare. The complexity of nbody simulation. (draft), Computer Science Dept., Duke University, 1992.
|
| |
20
|
P. M. Vaidya. A fast approximation algorithm for minimum spanning trees in k-dimensional space. In Proc. #5th Annual Syrup. Found. Comp. Sc., pages 403-407, 1984.
|
| |
21
|
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
|
|
|
|
|
|
|
|
Joseph S. B. Mitchell , David M. Mount , Subhash Suri, Query-sensitive ray shooting, Proceedings of the tenth annual symposium on Computational geometry, p.359-368, June 06-08, 1994, Stony Brook, New York, United States
|
|
|
|
|
|
Sunil Arya , David M. Mount , Nathan S. Netanyahu , Ruth Silverman , Angela Wu, An optimal algorithm for approximate nearest neighbor searching, Proceedings of the fifth annual ACM-SIAM symposium on Discrete algorithms, p.573-582, January 23-25, 1994, Arlington, Virginia, United States
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sunil Arya , Gautam Das , David M. Mount , Jeffrey S. Salowe , Michiel Smid, Euclidean spanners: short, thin, and lanky, Proceedings of the twenty-seventh annual ACM symposium on Theory of computing, p.489-498, May 29-June 01, 1995, Las Vegas, Nevada, United States
|
|
|
|
|
|
|
|
|
|
|
|
Dow-Yung Yang , Ananth Grama , Vivek Sarin, Bounded-error compression of particle data from hierarchical approximate methods, Proceedings of the 1999 ACM/IEEE conference on Supercomputing (CDROM), p.71-es, November 14-19, 1999, Portland, Oregon, United States
|
|
|
Dow-Yung Yang , Ananth Grama , Vivek Sarin, Bounded-error compression of particle data from hierarchical approximate methods, Proceedings of the 1999 ACM/IEEE conference on Supercomputing (CDROM), p.32-es, November 14-19, 1999, Portland, Oregon, United States
|
|
|
|
|
|
|
|
|
|
|