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Proceedings Paper

Need for fuzzy morphology: erosion as a fuzzy marker
Author(s): Edward R. Dougherty; Divyendu Sinha
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Paper Abstract

The need for fuzzy mathematical morphology is explained in terms of the need for fuzzy erosion in certain types of applications, especially where erosion is serving as a marker, as with hit-or-miss shape recognition. Since erosion is defined by fitting, there at once arises a need for relating fuzzified set inclusion and mathematical morphology. The result is a very general class of Minkowski algebras based upon an axiomatic description of indicator functions that yield acceptable set-inclusion fuzzifications and a subclass of richer Minkowski algebras resulting from an analytic formulation for indicators that is constrained by the axioms.

Paper Details

Date Published: 1 March 1992
PDF: 9 pages
Proc. SPIE 1708, Applications of Artificial Intelligence X: Machine Vision and Robotics, (1 March 1992); doi: 10.1117/12.58592
Show Author Affiliations
Edward R. Dougherty, Rochester Institute of Technology (United States)
Divyendu Sinha, CUNY/College of Staten Island (United States)

Published in SPIE Proceedings Vol. 1708:
Applications of Artificial Intelligence X: Machine Vision and Robotics
Kevin W. Bowyer, Editor(s)

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