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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Classification of fuzzy mathematical morphologies based on concepts of inclusion measure and duality

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Author(s):
Sussner, Peter [1] ; Valle, Marcos Eduardo [2]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, Inst Math Stat & Sci Computat, BR-13081970 Campinas, SP - Brazil
[2] Univ Estadual Londrina, Ctr Exact Sci, BR-86051990 Londrina, PR - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Mathematical Imaging and Vision; v. 32, n. 2, p. 139-159, OCT 2008.
Web of Science Citations: 42
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. (AU)

FAPESP's process: 06/06818-1 - A general class of fuzzy morphological associative memories
Grantee:Marcos Eduardo Ribeiro Do Valle Mesquita
Support Opportunities: Scholarships in Brazil - Post-Doctoral