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An O(N4) algorithm to construct all Voronoi diagrams for k nearest neighbor searching

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Automata, Languages and Programming (ICALP 1983)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 154))

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Abstract

This paper presents an algorithm, that constructs all Voronoi diagrams for k nearest neighbor searching in the Euclidean plane simultaneously. Its space and time complexity of O(N4) is shown to be optimal.

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References

  1. Kirkpatrick: Optimal Search in Planar Subdivisions, Department of Computer Science, Univ. of British Columbia, Vancouver, B.C., Canada, Report 81-13, 1981

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  2. Lee: An Approach to Finding the K-Nearest Neighbor in the Euclidean Plane, Department of Electrical Engineering and Computer Science, Northwestern Univ., Evanston, II. 60201, USA, Report 1981

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Josep Diaz

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© 1983 Springer-Verlag Berlin Heidelberg

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Dehne, F. (1983). An O(N4) algorithm to construct all Voronoi diagrams for k nearest neighbor searching. In: Diaz, J. (eds) Automata, Languages and Programming. ICALP 1983. Lecture Notes in Computer Science, vol 154. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036906

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  • DOI: https://doi.org/10.1007/BFb0036906

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12317-0

  • Online ISBN: 978-3-540-40038-7

  • eBook Packages: Springer Book Archive

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