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Image Restoration: Spatial Domain Noise Filters

Explore the spatial and frequency properties of noise in image restoration. Learn about various types of noise such as Gaussian, Rayleigh, and Impulse noise. Discover the assumptions and methods for estimating noise parameters in the spatial domain. Dive into adaptive spatial filters for noise reduction and enhancement.

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Image Restoration: Spatial Domain Noise Filters

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  1. Lecture 12 Figures from Gonzalez and Woods, Digital Image Processing, Second Edition, 2002.

  2. Image Restoration

  3. Chapter 5 Image Restoration

  4. Spatial and Frequency Properties of Noise Assumptions about noise • Noise is independent of spatial coordinates (except spatially periodic noise) • Uncorrelated with respect to image itself (actual pixel values) These assumptions are not strictly true( X-ray and nuclear medicine imaging, for instance. Under such assumptions, we have noise density functions

  5. Chapter 5 Image Restoration

  6. Types of noise typical for these distributions • Gaussian noise– Electronic circuits and sensor noise • Rayleigh noise– noise fom range imaging • Exponential and Gamma Densities – Laser imaging • Impulse noise – From situations where quick transients, such as faulty switching, take place during imaging • Uniform noise– Used for random number generators, not really descriptive of applications

  7. Chapter 5 Image Restoration

  8. Chapter 5 Image Restoration

  9. Chapter 5 Image Restoration

  10. Chapter 5 Image Restoration

  11. Estimating Noise Parameters

  12. Chapter 5 Image Restoration

  13. Spatial Domain Noise Filters(1)

  14. Chapter 5 Image Restoration

  15. Spatial Domain Noise Filters(2)

  16. Chapter 5 Image Restoration

  17. Chapter 5 Image Restoration

  18. Spatial Domain Noise Filters(3)

  19. Spatial Domain Filters (4)

  20. Chapter 5 Image Restoration

  21. Chapter 5 Image Restoration

  22. Spatial Domain Noise Filters (5)

  23. Chapter 5 Image Restoration

  24. Chapter 5 Image Restoration

  25. Adaptive Spatial Filters • Local noise reduction filter • Adaptive Mean filter

  26. Chapter 5 Image Restoration

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