Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/60512
Type: Artigo
Title: Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of L-fuzzy mathematical morphology
Author: Sussner, Peter
Nachtegael, Mike
Mélange, Tom
Deschrijver, Glad
Esmi, Estevão, Kerre, Etienne
Abstract: Mathematical morphology (MM) offers a wide range of tools for image processing and computer vision. MM was originally conceived for the processing of binary images and later extended to gray-scale morphology. Extensions of classical binary morphology to gray-scale morphology include approaches based on fuzzy set theory that give rise to fuzzy mathematical morphology (FMM). From a mathematical point of view, FMM relies on the fact that the class of all fuzzy sets over a certain universe forms a complete lattice. Recall that complete lattices provide for the most general framework in which MM can be conducted. The concept of L-fuzzy set generalizes not only the concept of fuzzy set but also the concepts of interval-valued fuzzy set and Atanassov's intuitionistic fuzzy set. In addition, the class of L-fuzzy sets forms a complete lattice whenever the underlying set L constitutes a complete lattice. Based on these observations, we develop a general approach towards L-fuzzy mathematical morphology in this paper. Our focus is in particular on the construction of connectives for interval-valued and intuitionistic fuzzy mathematical morphologies that arise as special, isomorphic cases of L-fuzzy MM. As an application of these ideas, we generate a combination of some well-known medical image reconstruction techniques in terms of interval-valued fuzzy image processing.
Mathematical morphology (MM) offers a wide range of tools for image processing and computer vision. MM was originally conceived for the processing of binary images and later extended to gray-scale morphology. Extensions of classical binary morphology to g
Subject: Morfologia matemática
Conjuntos fuzzy
Teoria dos reticulados
Country: Estados Unidos
Editor: Springer
Citation: Journal Of Mathematical Imaging And Vision. Springer, v. 43, n. 1, n. 50, n. 71, 2012.
Rights: Aberto
Identifier DOI: 10.1007/s10851-011-0283-1
Address: https://link.springer.com/article/10.1007/s10851-011-0283-1
Date Issue: 2012
Appears in Collections:IMECC - Artigos e Outros Documentos

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