Delineating boundaries for imprecise regions

  • Authors:
  • Iris Reinbacher;Marc Benkert;Marc van Kreveld;Joseph S. B. Mitchell;Alexander Wolff

  • Affiliations:
  • Institute of Information and Computing Sciences, Utrecht University;Dept. of Comp. Science, Karlsruhe University;Institute of Information and Computing Sciences, Utrecht University;Department of Applied Mathematics and Statistics, State University of New York at Stony Brook;Dept. of Comp. Science, Karlsruhe University

  • Venue:
  • ESA'05 Proceedings of the 13th annual European conference on Algorithms
  • Year:
  • 2005

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Abstract

In geographic information retrieval, queries often use names of geographic regions that do not have a well-defined boundary, such as “Southern France.” We provide two classes of algorithms for the problem of computing reasonable boundaries of such regions, based on evidence of given data points that are deemed likely to lie either inside or outside the region. Our problem formulation leads to a number of problems related to red-blue point separation and minimum-perimeter polygons, many of which we solve algorithmically. We give experimental results from our implementation and a comparison of the two approaches.