Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Fuzzy and Fourier Transforms

Authors
Irina Perfilieva, Petra Hod'áková
Corresponding Author
Irina Perfilieva
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.12How to use a DOI?
Keywords
Convolutions of functions, discrete Ftransform, discrete Fourier transform
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 effect 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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This is an open access article distributed under the CC BY-NC license.

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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.12How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Irina Perfilieva
AU  - Petra Hod'áková
PY  - 2011/08
DA  - 2011/08
TI  - Fuzzy and Fourier Transforms
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 452
EP  - 456
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.12
DO  - https://doi.org/10.2991/eusflat.2011.12
ID  - Perfilieva2011/08
ER  -