Counting and Reporting Intersections of d-Ranges

  • Authors:
  • H. W. Six;D. Wood

  • Affiliations:
  • Institut für Angewandte Informatik und Formale Beschreibungverfahren, Universität Karlsruhe;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1982

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Abstract

We present a solution to the problem of reporting and counting all pairs of intersecting or overlapping d-ranges in a given set of n d-ranges. A d-range is a rectilinearly oriented rectangular d-dimensional box or brick. The three-dimensional case is presented in some detail and an 0(n log22n + k) time and 0(n log22n) space algorithm is developed for the