On the Decomposition of Interval-Valued Fuzzy Morphological Operators

dc.creatorMelange, T
dc.creatorNachtegael, M
dc.creatorSussner, P
dc.creatorKerre, EE
dc.date2010
dc.dateMAR
dc.date2014-11-13T13:01:48Z
dc.date2015-11-26T17:09:41Z
dc.date2014-11-13T13:01:48Z
dc.date2015-11-26T17:09:41Z
dc.date.accessioned2018-03-28T23:58:19Z
dc.date.available2018-03-28T23:58:19Z
dc.identifierJournal Of Mathematical Imaging And Vision. Springer, v. 36, n. 3, n. 270, n. 290, 2010.
dc.identifier0924-9907
dc.identifierWOS:000274710100005
dc.identifier10.1007/s10851-009-0185-7
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/81694
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/81694
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/81694
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1280682
dc.descriptionInterval-valued fuzzy mathematical morphology is an extension of classical fuzzy mathematical morphology, which is in turn one of the extensions of binary morphology to greyscale morphology. The uncertainty that may exist concerning the grey value of a pixel due to technical limitations or bad recording circumstances, is taken into account by mapping the pixels in the image domain onto an interval to which the pixel's grey value is expected to belong instead of one specific value. Such image representation corresponds to the representation of an interval-valued fuzzy set and thus techniques from interval-valued fuzzy set theory can be applied to extend greyscale mathematical morphology. In this paper, we study the decomposition of the interval-valued fuzzy morphological operators. We investigate in which cases the [alpha (1),alpha (2)]-cuts of these operators can be written or approximated in terms of the corresponding binary operators. Such conversion into binary operators results in a reduction of the computation time and is further also theoretically interesting since it provides us a link between interval-valued fuzzy and binary morphology.
dc.description36
dc.description3
dc.description270
dc.description290
dc.languageen
dc.publisherSpringer
dc.publisherDordrecht
dc.publisherHolanda
dc.relationJournal Of Mathematical Imaging And Vision
dc.relationJ. Math. Imaging Vis.
dc.rightsfechado
dc.rightshttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dc.sourceWeb of Science
dc.subjectInterval-valued fuzzy sets
dc.subjectMathematical morphology
dc.subjectDecomposition
dc.subjectMathematical Morphologies
dc.subjectSet-theory
dc.subjectDuality
dc.titleOn the Decomposition of Interval-Valued Fuzzy Morphological Operators
dc.typeArtículos de revistas


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