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Optimal SURE Parameters for Sigmoidal Wavelet Shrinkage

Optimal SURE Parameters for Sigmoidal Wavelet Shrinkage. A.M. Atto, D. Pastor , G. Mercier EUSIPCO 2009. Outline. Sigmoid-based shrinkage in the wavelet domain (SigShrink) Shrinkage in the wavelet domain (principle, limitations) Smooth sigmoid-based shrinkage (SSBS) functions

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Optimal SURE Parameters for Sigmoidal Wavelet Shrinkage

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  1. Optimal SURE Parameters for Sigmoidal Wavelet Shrinkage A.M. Atto, D. Pastor, G. Mercier EUSIPCO 2009

  2. Outline • Sigmoid-based shrinkage in the wavelet domain (SigShrink) • Shrinkage in the wavelet domain (principle, limitations) • Smooth sigmoid-based shrinkage (SSBS) functions • Experimental results • SURE-based optimization of the SigShrink parameters • The SURE approach (Stein) • Proposition • Experimental results • Conclusion [Atto, P., Mercier]: « Smooth Adaptation by Sigmoid Shrinkage »: Extended version to appear in EURASIP Journal on Image and Video Processing [P., Atto]: « Wavelet shrinkage: from sparsity and robust testing to smooth adaptation », Pastor & Atto, to appear in "Fractals and Related Fields", Eds: J. Barral & S. Seuret, Birkhaüser, 2009 Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  3. Shrinkage in the wavelet domain (WaveShrink) Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  4. Shrinkage in the wavelet domain [Donoho & Johnstone, 94] Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  5. Shrinkage in the wavelet domain [Donoho & Johnstone] Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  6. Some standard shrinkage functions Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  7. Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  8. Smooth sigmoid-based shrinkage (SigShrink) Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  9. Smooth sigmoid-based shrinkage (SSBS) functions Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  10. Noise std = 35 PSNR = 17.2494 Denoised images by SigShrink Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  11. Sure-based optimization of the SigShrink parameters Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  12. Stein’s SURE approach Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  13. Proposition Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  14. Comparison to SURELET [Luisier, Blu, Unser, 2007] Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  15. Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  16. Conclusion • SigShrink (Wavelet Shrinkage based on Smooth Sigmoid Based functions) • SURE-Based optimization of the SigShrink parameters • Experimental results • Pespectives • Improve the SigShrink denoising performance by introducing inter-scale and/or intra-scale predictors • Comparison to BLS-GSM • Sparsity and level-dependent detection thresholds • [Atto, P., Mercier]: « Smooth Adaptation by Sigmoid Shrinkage »: Extended version to appear in EURASIP Journal on Image and Video Processing • [P., Atto]: « Wavelet shrinkage: from sparsity and robust testing to smooth adaptation », Pastor & Atto, to appear in "Fractals and Related Fields", Eds: J. Barral & S. Seuret, Birkhaüser, 2009 Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  17. Experimental results Noise std = 35, Optimal SURE Parameters for SigShrink - EUSIPCO 2009

  18. Optimal SURE Parameters for SigShrink - EUSIPCO 2009

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