A decomposition of multi-dimensional point-sets with applications to k-nearest-neighbors and n-body potential fields (preliminary version)
Paul B. Callahan, S. Rao Kosaraju · 1992
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.