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Adaptive Bilateral Filter for Sharpness Enhancement and Noise Removal

Adaptive Bilateral Filter for Sharpness Enhancement and Noise Removal

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Adaptive Bilateral Filter for Sharpness Enhancement and Noise Removal

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  1. Adaptive Bilateral Filter for Sharpness Enhancement and Noise Removal Buyue Zhang, Jan P. Allebach, IEEE Trans. Image Process., vol. 17, NO. 5,MAY 2008 2009.11.09 王韋弘

  2. Outline • Introduction • Bilateral Filter • Adaptive Bilateral Filter(ABF) • Role of in ξ the ABF • Role of in σr the ABF • Summary of the Rationale for the ABF • Results and Discussions

  3. Introduction • Purpose: 1、edge-preserving 2、de-noising • Method:modifies the Bilateral Filter

  4. Outline • Introduction • Bilateral Filter • Adaptive Bilateral Filter(ABF) • Role of in ξ the ABF • Role of in σr the ABF • Summary of the Rationale for the ABF • Results and Discussions

  5. Bilateral Filter • shift-variant filtering: • :restored image • :degraded image ----response at [m,n] to an impuse at [k,l]

  6. Bilateral Filter • σd , σr:the standard deviations of domain and range Gaussian filter

  7. Blurred and noisy Bilateral Filter Bilateral filter σr=20, σd =2 Gaussian filter σd =2

  8. Bilateral Filter

  9. Bilateral Filter (a) the impulse response of the domain Gaussian filter (σ d= 2) (b)the impulse response of the range Gaussian filter at the edge pixel A (σ r= 2) (c) the impulse response of the bilateral filter at pixel A (d)the transfer function of (c) at pixel A

  10. Bilateral Filter

  11. Outline • Introduction • Bilateral Filter • Adaptive Bilateral Filter(ABF) • Role of in ξ the ABF • Role of in σr the ABF • Summary of the Rationale for the ABF • Results and Discussions

  12. Adaptive Bilateral Filter(ABF) • Bilateral filter • ABF

  13. Adaptive Bilateral Filter(ABF) • Some modifications: • an offset ξis introduced to the range filter • both ξ and σr are locally adaptive • σd=1 be fixed

  14. Outline • Introduction • Bilateral Filter • Adaptive Bilateral Filter(ABF) • Role of in ξ the ABF • Role of in σr the ABF • Summary of the Rationale for the ABF • Results and Discussions

  15. Adaptive Bilateral Filter(ABF) • A range filter shifted by the following choice forξ.

  16. Adaptive Bilateral Filter(ABF) • 25X25 • σd=1 • σr=20

  17. Adaptive Bilateral Filter(ABF)

  18. Outline • Introduction • Bilateral Filter • Adaptive Bilateral Filter(ABF) • Role of in ξ the ABF • Role of in σr the ABF • Summary of the Rationale for the ABF • Results and Discussions

  19. Adaptive Bilateral Filter(ABF) DF:σd=1 RF:σr=5 BF: σd=1 、σr=5 • DF:domain filter only • RF:range filter only • BF:bilateral filter

  20. Adaptive Bilateral Filter(ABF) • DF:domain filter only • RF:range filter only • BF:bilateral filter DF:σd=1 RF:σr=50 BF: σd=1 、σr=50

  21. Outline • Introduction • Bilateral Filter • Adaptive Bilateral Filter(ABF) • Role of in ξ the ABF • Role of in σr the ABF • Summary of the Rationale for the ABF • Results and Discussions

  22. Adaptive Bilateral Filter(ABF)

  23. Adaptive Bilateral Filter(ABF)

  24. Adaptive Bilateral Filter(ABF)

  25. Adaptive Bilateral Filter(ABF) • ξis the key to slope restoration. • The output is bounded between MIN(Ωm0,n0) and MAX(Ω m0,n0). • To smooth:shift RF towards MEAN (Ωm0,n0) use a large σr • To sharpen:shift RF away from the midpoint use a small σr

  26. Outline • Introduction • Bilateral Filter • Adaptive Bilateral Filter(ABF) • Role of in ξ the ABF • Role of in σr the ABF • Summary of the Rationale for the ABF • Results and Discussions

  27. Optimal unsharp mask

  28. Results and Discussions ABF OUM