Matching planar maps

  • Authors:
  • Helmut Alt;Alon Efrat;Günter Rote;Carola Wenk

  • Affiliations:
  • Freie Universität Berlin, Institut für Informatik, Takustraße 9, 14195 Berlin, Germany;University of Arizona, Computer Science Department, 1040 E 4th Street, Tucson, AZ;Freie Universität Berlin, Institut für Informatik, Takustraße 9, 14195 Berlin, Germany;University of Arizona, Computer Science Department, 1040 E 4th Street, Tucson, AZ

  • Venue:
  • Journal of Algorithms
  • Year:
  • 2003

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Abstract

The subject of this paper are algorithms for measuring the similarity of patterns of line segments in the plane, a standard problem in, e.g., computer vision, geographic information systems, etc. More precisely, we define feasible distance measures that reflect how close a given pattern H is to some part of a larger pattern G. These distance measures are generalizations of the well-known Fréchet distance for curves. We first give an efficient algorithm for the case that H is a polygonal curve and G is a geometric graph. Then, slightly relaxing the definition of distance measure, we give an algorithm for the general case where both, H and G, are geometric graphs.