Local Similarity Based Point-Pattern Matching

  • Authors:
  • Veli Mäkinen;Esko Ukkonen

  • Affiliations:
  • -;-

  • Venue:
  • CPM '02 Proceedings of the 13th Annual Symposium on Combinatorial Pattern Matching
  • Year:
  • 2002

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Abstract

We study local similarity based distance measures for point-patterns. Such measures can be used for matching point-patterns under non-uniform transformations -- a problem that naturally arises in image comparison problems. A general framework for the matching problem is introduced. We show that some of the most obvious instances of this framework lead to NP-hard optimization problems and are not approximable within any constant factor. We also give a relaxation of the framework that is solvable in polynomial time and works well in practice in our experiments with two-dimensional protein electrophoresis gel images.