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Image Enhancement in Frequency Domain: Techniques & Applications

Learn about DFT of Laplacian, High Boost Filtering, Homomorphic Filtering, and more in digital image processing. Understand properties of DFT, convolution, correlation, and the need for padding. See practical examples and transformations in images.

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Image Enhancement in Frequency Domain: Techniques & Applications

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  1. Lecture 10 Figures from Gonzalez and Woods, Digital Image Processing, Second Edition, 2002.

  2. DFT of Laplacian

  3. Chapter 4 Image Enhancement in the Frequency Domain

  4. Chapter 4 Image Enhancement in the Frequency Domain

  5. High Boost Filtering

  6. Chapter 4 Image Enhancement in the Frequency Domain

  7. A picture from the news Before and after Lapacian filter, picture of giant squid by Japanese scientists

  8. The tackiest pictures I could find Original After Laplacian Filter

  9. After High Boost Filter A=1.7 A=1.4

  10. High Frequency Emphasis

  11. Chapter 4 Image Enhancement in the Frequency Domain

  12. Homomorphic Filtering

  13. Chapter 4 Image Enhancement in the Frequency Domain

  14. Chapter 4 Image Enhancement in the Frequency Domain

  15. Properties of the DFT • Translation • Distributivity and scaling • Rotation • Periodicity and conjugate symmetry • Separability • Simplicity of computing inverse

  16. Chapter 4 Image Enhancement in the Frequency Domain

  17. Chapter 4 Image Enhancement in the Frequency Domain

  18. Need for Padding Without padding convolutions will not be properly implemented. f(x) has period A h(x) has period B g(x)= h(x)*f(x) has period P>=A+B-1

  19. Chapter 4 Image Enhancement in the Frequency Domain

  20. Chapter 4 Image Enhancement in the Frequency Domain

  21. Chapter 4 Image Enhancement in the Frequency Domain

  22. Chapter 4 Image Enhancement in the Frequency Domain

  23. Convolution and Correlation

  24. Chapter 4 Image Enhancement in the Frequency Domain

  25. Chapter 4 Image Enhancement in the Frequency Domain

  26. Chapter 4 Image Enhancement in the Frequency Domain

  27. Chapter 4 Image Enhancement in the Frequency Domain

  28. Chapter 4 Image Enhancement in the Frequency Domain

  29. Chapter 4 Image Enhancement in the Frequency Domain

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