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Linguistic Interpretation of Mathematical Morphology

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013Publisher:Atlantis PressJournal:Procedings of the Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support
Authors: Bouchet, Agustina; Meschino, Gustavo; Brun, Marcel; Espin Andrade, Rafael; Ballarin, Virginia;

doi: 10.2991/.2013.2

handle: 11336/96147

Linguistic Interpretation of Mathematical Morphology

Abstract

Mathematical Morphology is a theory based on geometry, algebra, topology and set theory, with strong application to digital image processing. This theory is characterized by two basic operators: dilation and erosion. In this work we redefine these operators based on compensatory fuzzy logic using a linguistic definition, compatible with previous definitions of Fuzzy Mathematical Morphology. A comparison to previous definitions is presented, assessing robustness against noise.

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Keywords

https://purl.org/becyt/ford/2.2, MATHEMATICAL MORPHOLOGY, https://purl.org/becyt/ford/1.1, COMPENSATORY FUZZY LOGIC, FUZZY LOGIC, FUZZY MATHEMATICAL MORPHOLOGY, https://purl.org/becyt/ford/2, https://purl.org/becyt/ford/1

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 4
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green
gold