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Proceedings Paper

Representation Theorems In A L-Fuzzy Set Theory Based Algebra For Morphology
Author(s): Divyendu Sinha; Charles R. Giardina
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Paper Abstract

Perhaps the most promising area of morphological image processing is that dealing with morphological filters. An image to image mapping is called a morphological filter if it is increasing and translation compatible. In other words, morphological filters preserve the natural set theoretic ordering and are space invariant. Examples of such filters are the convex hull operator, the topological closure, the umbra transform and various other topological algorithms [2-4]. Matheron showed that all such mappings can be characterized by the set theoretic operations erosion and dilation. His representation theorems has been adapted to digital images with great success [4].

Paper Details

Date Published: 1 November 1989
PDF: 11 pages
Proc. SPIE 1199, Visual Communications and Image Processing IV, (1 November 1989); doi: 10.1117/12.970055
Show Author Affiliations
Divyendu Sinha, Stevens Institute of Technology (United States)
Charles R. Giardina, College of Staten Island (C.U.N.Y.) (United States)

Published in SPIE Proceedings Vol. 1199:
Visual Communications and Image Processing IV
William A. Pearlman, Editor(s)

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