Connections between binary, gray-scale and fuzzy mathematical morphologies

Authors:
Mike Nachtegael;Etienne E. Kerre
Affiliations:
Fuzziness and Uncertainty Modelling Research Unit, Department of Applied Mathematics and Computer Science, Ghent University, Krijgslaan 291 (Building S9), B-9000 Gent, Belgium;Fuzziness and Uncertainty Modelling Research Unit, Department of Applied Mathematics and Computer Science, Ghent University, Krijgslaan 291 (Building S9), B-9000 Gent, Belgium
Venue:
Fuzzy Sets and Systems
Year:
2001

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Abstract

Fuzzy mathematical morphology is an extension of binary morphology to gray-scale morphology, using techniques from fuzzy set theory. In this paper we will discuss several known and new approaches towards fuzzy morphology and show how they are connected, not only to each other, but also to binary and classical gray-scale morphology.