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