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. © 2011. The authors-Published by Atlantis Press.
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CITATION STYLE
Perfilieva, I., & Hod’áková, P. (2011). Fuzzy and fourier transforms. In Proceedings of the 7th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2011 and French Days on Fuzzy Logic and Applications, LFA 2011 (Vol. 1, pp. 452–456). Atlantis Press. https://doi.org/10.2991/eusflat.2011.12
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