A gravitational approach to edge detection based on triangular norms

  • Authors:

  • C. Lopez-Molina;H. Bustince;J. Fernandez;P. Couto;B. De Baets

  • Affiliations:

  • Dpto. Automática y Computación, Public University of Navarre, 31006 Pamplona, Spain;Dpto. Automática y Computación, Public University of Navarre, 31006 Pamplona, Spain;Dpto. Automática y Computación, Public University of Navarre, 31006 Pamplona, Spain;CITAB, Universidade de Trás-os-Montes e Alto Douro, Quinta de Prados, 5000-911 Vila Real, Portugal;Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, 9000 Gent, Belgium

  • Venue:
  • Pattern Recognition
  • Year:
  • 2010

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Abstract

We study the method of Sun et al. for edge detection based on the Law of Universal Gravity. We analyze the effect of the substitution of the product operation by other triangular norms in the calculation of the gravitational forces. We treat edges as fuzzy sets for which membership degrees are extracted from the resulting gravitational force on each pixel. We consider several prototypical triangular norms and experimentally show that their features determine the kind of edges detected. The new method is tested on the Berkeley Segmentation Dataset, showing to be competitive compared to the Canny method.