A decomposition of multidimensional point sets with applications to k -nearest-neighbors and n -body potential fields

Author:

Callahan Paul B.1,Kosaraju S. Rao1

Affiliation:

1. Johns Hopkins University, Baltimore, Maryland

Abstract

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.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

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