About the Limiting Behaviour of Iterated Robust Morphological Operators

  • Authors:
  • Johan Van Horebeek;Ernesto Tapia-Rodriguez

  • Affiliations:
  • -;-

  • Venue:
  • Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
  • Year:
  • 2001

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Abstract

We study the limiting behaviour of the repeated application of a discrete image operator that belongs to a recently introduced class of morphological operators. To this purpose, we describe the implied iterative process by a discrete dynamical system.The convergence is derived for binary and gray scale images.