A Multi-dimensional Systems Theory Framework for Binary Mathematical Morphology

Authors:
J. Velten;A. Kummert
Affiliations:
Communication Theory, University of Wuppertal, Wuppertal, Germany 42119;Communication Theory, University of Wuppertal, Wuppertal, Germany 42119
Venue:
Multidimensional Systems and Signal Processing
Year:
2006

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Abstract

Binary mathematical morphology is a set theoretical approach to multidimensional signal processing. It enables extraction of shape features and is thus a well known and successfully applied kind of operation for image processing and recognition tasks. Nevertheless, a system theoretical treatment of these operations seems to be difficult, due to its mathematical origin of integral geometry. A system theoretical description of binary mathematical morphology is given in the present paper that allows to design realizations of binary morphological operations following methods from classical linear systems theory in a very favorable way. The advantage of the proposed correspondence description is exemplary shown in the development of a matching technique for shape varying object clusters.