About the limiting behaviour of iterated robust morphological operators

Authors:
Johan Van Horebeek;Ernesto Tapia-Rodriguez
Affiliations:
Centro de Investigación en Matemáticas, Ap. Postal 402, 36000 Guanajuato, Gto., Mexico;Centro de Investigación en Matemáticas, Ap. Postal 402, 36000 Guanajuato, Gto., Mexico and Freie Universität Berlin, Institut für Informatik, Tacostr. 9, D-14195 Berlin, German ...
Venue:
Digital and image geometry
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.