title: |
Fuzzy and Fourier Transforms |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 452 - 456 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Irina Perfilieva, Petra Hod¡¯¨¢kov¨¢ |
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publication date: |
July 2011 |
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keywords: |
Convolutions of functions, discrete Ftransform, discrete Fourier transform |
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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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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |