Fast neighborhood search in planar point sets

  • Authors:
  • Dmitry Chetverikov

  • Affiliations:
  • -

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 1991

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Abstract

A simple and practical method is proposed that facilitates fast spatial neighborhood operations in a non-ordered point list containing coordinates of a planar point set. Given a rectangular neighborhood, O(Nq) operations are needed to scan the neighborhoods of N points in the list, where q is the average number of points in the neighborhood. The method uses a data structure that requires O(N) bytes of storage. The complexity of the algorithm that structures the data is O(N).