Fuzzy and Fourier Transforms

DOI

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.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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 (EUSFLAT-11)
PB  - Atlantis Press
SP  - 452
EP  - 456
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.12
DO  - 10.2991/eusflat.2011.12
ID  - Perfilieva2011/08
ER  -