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      • Dept. of Electrical and Electronics Engineering - Master's degree
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      •   BUIR Home
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      • Bilkent Theses
      • Theses - Department of Electrical and Electronics Engineering
      • Dept. of Electrical and Electronics Engineering - Master's degree
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      Image processing with the fractional Fourier transform: synthesis, compression and perspective projections

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      Author
      Yetik, I Şamil
      Advisor
      Özaktaş, Haldun M.
      Date
      2000
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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      Abstract
      In this work, first we give a summary of the fractional Fourier transform including its definition, important properties, generalization to two-dimensions and its discrete counterpart. After that, we repeat the concept of filtering in the fractional Fourier domains and give multi-stage and multi-channel filtering configurations. Due to the nonlinear nature of the problem, the transform orders in fractional Fourier domain filtering configurations have usually not been optimized but chosen uniformly up to date. We discuss the optimization of orders in the multi-channel filtering configuration. In the next part of this thesis, we discuss the application of fractional Fourier transform based filtering configurations to image representation and compression. Next, we introduce the fractional Fourier domain decomposition for continuous signals and systems. In the last part, we analyse perspective projections in the space-frequency plane and show that under certain conditions they can be approximately modeled in terms of the fractional Fourier transform.
      Keywords
      Fractional Fourier transforms
      Signal and system synthesis
      İmage representation and compression
      Perspective projections
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      http://hdl.handle.net/11693/18219
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      • Dept. of Electrical and Electronics Engineering - Master's degree 566

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