Need for fuzzy morphology: erosion as a fuzzy marker

Edward R. Dougherty; Divyendu Sinha

doi:10.1117/12.58592

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1 March 1992 Need for fuzzy morphology: erosion as a fuzzy marker

Edward R. Dougherty, Divyendu Sinha

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Proceedings Volume 1708, Applications of Artificial Intelligence X: Machine Vision and Robotics; (1992) https://doi.org/10.1117/12.58592
Event: Aerospace Sensing, 1992, Orlando, FL, United States

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.

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Edward R. Dougherty and Divyendu Sinha "Need for fuzzy morphology: erosion as a fuzzy marker", Proc. SPIE 1708, Applications of Artificial Intelligence X: Machine Vision and Robotics, (1 March 1992); https://doi.org/10.1117/12.58592

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