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On k-Nearest Neighbor Voronoi Diagrams in the Plane

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1 Author(s)
Der-Tsai Lee ; Department of Electrical Engineering and Computer Science, Northwestern University

The notion of Voronoi diagram for a set of N points in the Euclidean plane is generalized to the Voronoi diagram of order k and an iterative algorithm to construct the generalized diagram in 0(k2N log N) time using 0(k2(N − k)) space is presented. It is shown that the k-nearest neighbor problem and other seemingly unrelated problems can be solved efficiently with the diagram.

Published in:

Computers, IEEE Transactions on  (Volume:C-31 ,  Issue: 6 )

Date of Publication:

June 1982

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