A DECOMPOSITION OF MULTIDIMENSIONAL POINT SETS WITH APPLICATIONS TO K-NEAREST-NEIGHBORS AND N-BODY POTENTIAL FIELDS

A DECOMPOSITION OF MULTIDIMENSIONAL POINT SETS WITH APPLICATIONS TO K-NEAREST-NEIGHBORS AND N-BODY POTENTIAL FIELDS
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DOI:
10.1145/200836.200853
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发表时间:
1995-01-01
期刊:
JOURNAL OF THE ASSOCIATION FOR COMPUTING MACHINERY
影响因子:
--
通讯作者:
KOSARAJU, SR
KOSARAJU, SR
中科院分区:
其他
文献类型:
--
作者:
CALLAHAN, PB;KOSARAJU, SR

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我们定义了d维空间中点的良好分离对分解的概念,然后开发出有效的顺序和并行算法来计算这种分解。我们将最终的分解应用于K-Nearest邻居和N体势场的有效计算。
We define the notion of a well-separated pair decomposition of points in d-dimensional space, We then 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.