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CAP5415 Computer Vision Spring 2003

CAP5415 Computer Vision Spring 2003. Khurram Hassan-Shafique. Image Filtering. Modifying the pixels in an image based on some function of a local neighborhood of the pixels. p. N(p). Linear Filtering. The output is the linear combination of the neighborhood pixels

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CAP5415 Computer Vision Spring 2003

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  1. CAP5415 Computer VisionSpring 2003 Khurram Hassan-Shafique

  2. Image Filtering • Modifying the pixels in an image based on some function of a local neighborhood of the pixels p N(p)

  3. Linear Filtering • The output is the linear combination of the neighborhood pixels • The coefficients of this linear combination combine to form the “filter-kernel” = Kernel Filter Output Image

  4. Convolution

  5. Linear Filtering

  6. Linear Filtering

  7. Linear Filtering

  8. Linear Filtering

  9. Gaussian Filter

  10. Linear Filtering(Gaussian Filter)

  11. Gaussian Vs Average Smoothing by Averaging Gaussian Smoothing

  12. Noise Filtering After Averaging Gaussian Noise After Gaussian Smoothing

  13. Noise Filtering After Averaging Salt & Pepper Noise After Gaussian Smoothing

  14. Shift Invariant Linear Systems • Superposition • Scaling • Shift Invariance

  15. Fourier Transform

  16. Here u & v are larger than the previous slide Larger than the upper example

  17. Cheetah Image Fourier Magnitude (above) Fourier Phase (below)

  18. Zebra Image Fourier Magnitude (above) Fourier Phase (below)

  19. Reconstruction with Zebra phase, Cheetah Magnitude

  20. Reconstruction with Cheetah phase, Zebra Magnitude

  21. Suggested Reading • Chapter 7, David A. Forsyth and Jean Ponce, "Computer Vision: A Modern Approach"

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