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https://doi.org/10.2991/eusfla...
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Fuzzy and Fourier Transforms

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2011Publisher:Atlantis PressJournal:Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011)
Authors: Irina Perfilieva; Petra Hodáková;

doi: 10.2991/eusflat.2011.12

Fuzzy and Fourier Transforms

Abstract

The fuzzy transform (F-transform for short) is a universal tool for a fuzzy modeling with convincing applications to image processing. The aim of this contribution is to explain the eect of the Ftransform in image processing. With this purpose, we investigate properties of the Fourier transform over the F-transform components. We prove that the direct F-transform is a low-pass filter. This explains specific tools and methodologies that are developed in the F-transform applications to the image processing.

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selected citations
These citations are derived from selected sources.
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!
7
Average
Top 10%
Average
gold