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Digital Image Processing Chapter 4. Image Enhancement in the Frequency Domain Part II. 2D-DFT (Frequency) Domain Filtering. Convolution Theorem. f ( x,y ). g ( x,y ). h ( x,y ). input image. impulse response (filter). output image. DFT. IDFT. DFT. IDFT. DFT. IDFT. G ( u,v ). =.

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Digital Image Processing Chapter 4


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    1. Digital Image ProcessingChapter 4 Image Enhancement in the Frequency Domain Part II

    2. 2D-DFT (Frequency) Domain Filtering

    3. Convolution Theorem f (x,y) g(x,y) h(x,y) input image impulse response (filter) output image DFT IDFT DFT IDFT DFT IDFT G(u,v) = F(u,v) H(u,v)

    4. Frequency Domain Filtering Filter design: design H(u,v)

    5. 2D-DFT Domain Filter Design • Ideal lowpass, bandpass and highpass

    6. 2D-DFT Domain Filter Design • Ideal lowpass, bandpass and highpass

    7. 2D-DFT Domain Filter Design Ideal lowpass filtering with cutoff frequencies set at radii values of 5, 15, 30, 80, and 230, respectively

    8. 2D-DFT Domain Filter Design • Gaussian lowpass

    9. 2D-DFT Domain Filter Design Effect of Gaussian lowpass filter

    10. 2D-DFT Domain Filter Design Effect of Gaussian lowpass filter

    11. 2D-DFT Domain Filter Design Effect of Gaussian lowpass filter

    12. 2D-DFT Domain Filter Design Gaussian lowpass filtering Gaussian highpass filtering

    13. 2D-DFT Domain Filter Design • Choices of highpass filters Butterworth Gaussian Ideal

    14. 2D-DFT Domain Filter Design Ideal Butterworth Gaussian Obtained by applying inverse 2D-DFT to the corresponding frequency domain filters

    15. 2D-DFT Domain Filter Design Ideal Butterworth Gaussian

    16. 2D-DFT Domain Filter Design Gaussian filter with different width

    17. 2D-DFT Domain Filter Design • Orientation selective filters

    18. 2D-DFT Domain Filter Design • Narrowband Filtering by combining radial and orientation selection *