optimal sure parameters for sigmoidal wavelet shrinkage
DESCRIPTION
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 - PowerPoint PPT PresentationTRANSCRIPT
Optimal SURE Parameters for Sigmoidal Wavelet Shrinkage
A.M. Atto, D. Pastor, G. Mercier
EUSIPCO 2009
Optimal SURE Parameters for SigShrink - EUSIPCO 2009
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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
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Shrinkage in the wavelet domain (WaveShrink)
Optimal SURE Parameters for SigShrink - EUSIPCO 2009
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Shrinkage in the wavelet domain [Donoho & Johnstone, 94]
Optimal SURE Parameters for SigShrink - EUSIPCO 2009
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Shrinkage in the wavelet domain [Donoho & Johnstone]
Optimal SURE Parameters for SigShrink - EUSIPCO 2009
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Some standard shrinkage functions
Optimal SURE Parameters for SigShrink - EUSIPCO 2009
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Smooth sigmoid-based shrinkage (SigShrink)
Optimal SURE Parameters for SigShrink - EUSIPCO 2009
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Smooth sigmoid-based shrinkage (SSBS)
functions
Optimal SURE Parameters for SigShrink - EUSIPCO 2009
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A.M. Atto, D. Pastor, G. Mercier
Denoised images by SigShrink
Noise std = 35PSNR = 17.2494
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A.M. Atto, D. Pastor, G. Mercier
Sure-based optimization of the SigShrink parameters
Optimal SURE Parameters for SigShrink - EUSIPCO 2009
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A.M. Atto, D. Pastor, G. Mercier
Stein’s SURE approach
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A.M. Atto, D. Pastor, G. Mercier
Proposition
Optimal SURE Parameters for SigShrink - EUSIPCO 2009
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A.M. Atto, D. Pastor, G. Mercier
Comparison to SURELET [Luisier, Blu, Unser, 2007]
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A.M. Atto, D. Pastor, G. Mercier
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A.M. Atto, D. Pastor, G. Mercier
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
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A.M. Atto, D. Pastor, G. Mercier
Experimental results
Noise std = 35,
Optimal SURE Parameters for SigShrink - EUSIPCO 2009
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A.M. Atto, D. Pastor, G. Mercier