The Implementation of Fuzzy Logic and Fast Fourier Transformation in Image Processing (Linear & Non-Linear Filters)


  • Aya Zidan Mohammed Department of Mathematics, Faculty of Science, Sirte University, Libya
  • Najat Ali Atbaiga Department of Computing, Faculty of Information Technology, Sirte University, Libya
  • Souad Abummaryam Department of Mathematics, Faculty of Science, Sirte University, Libya
  • and Naiema Mousa Amrayid Department of Computing, Faculty of Information Technology, Sirte University, Libya



Fuzzy Logic, Spatial Domain, Frequency Domain, Fourier Transform, Image Processing


Fuzzy logic has several impacts on our daily life, and also offers a solution of non-linear problem of real world; expert systems and artificial intelligence. The use of fuzzy logic provides flexibility which is perfect for development of computer vision and image processing technologies. Image processing is a technique for adding effects to an image, obtaining an improved image, or obtaining some relevant information. The Fourier transform has a wide range of industrial applications, but it makes a significant contribution to image processing domains including image enhancement and restoration. This paper introduces applying the frequency domain (Fourier transform) and Spatial domain in image processing. The work divided to three main sections, the first section views literature review of Fuzzy logic, applications of fuzzy logic .Fast Fourier transform. The second section presents image processing; includes Frequency and spatial domain. Spatial domain proposes some selected filters (linear and non-linear). Frequency domain displays Fast Fourier transform equations to convert the processed data to fuzzy representation. Particularly Fourier theory of image processing procedures implemented using “MATLAB” software. The final section concluded the results and conclusion.


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