Duality vs adjunction and general form for fuzzy mathematical morphology

Authors:
Isabelle Bloch
Affiliations:
GET – Ecole Nationale Supérieure des Télécommunications, Dept. TSI – CNRS UMR 5141 LTCI, Paris, France
Venue:
WILF'05 Proceedings of the 6th international conference on Fuzzy Logic and Applications
Year:
2005

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Abstract

We establish in this paper the link between the two main approaches for fuzzy mathematical morphology, based on duality with respect to complementation and on the adjunction property, respectively. We also prove that the corresponding definitions of fuzzy dilation and erosion are the most general ones if a set of classical properties is required.