Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/55975
Type: Artigo de periódico
Title: Classification of fuzzy mathematical morphologies based on concepts of inclusion measure and duality
Author: Sussner, P
Valle, ME
Abstract: Mathematical morphology was originally conceived as a set theoretic approach for the processing of binary images. Extensions of classical binary morphology to gray-scale morphology include approaches based on fuzzy set theory. This paper discusses and compares several well-known and new approaches towards gray-scale and fuzzy mathematical morphology. We show in particular that a certain approach to fuzzy mathematical morphology ultimately depends on the choice of a fuzzy inclusion measure and on a notion of duality. This fact gives rise to a clearly defined scheme for classifying fuzzy mathematical morphologies. The umbra and the level set approach, an extension of the threshold approach to gray-scale mathematical morphology, can also be embedded in this scheme since they can be identified with certain fuzzy approaches.
Subject: morphological image operator
complete lattice
fuzzy set theory
fuzzy mathematical morphology
fuzzy inclusion measure
duality
negation
adjunction
Country: Holanda
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s10851-008-0094-1
Date Issue: 2008
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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