1 March 1992 Need for fuzzy morphology: erosion as a fuzzy marker
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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, Edward R. Dougherty, Divyendu Sinha, 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); doi: 10.1117/12.58592; https://doi.org/10.1117/12.58592
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