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Table 2 Mean values (based on 25 noise realizations) for optimal DWT "sym8" SURE SigShrink parameters, when denoising the "Lena" image corrupted by AWGN. The SURE SigShrink parameters are the SigShrink parameters and obtained by performing the SURE optimization on the whole set of the detail DWT coefficients. It follows from these results that the threshold height as well as the attenuation degree tends to be increasing functions of the noise standard deviation .

From: Smooth Adaptation by Sigmoid Shrinkage

Image

"House"

"Peppers"

"Barbara"

"Lena"

"Flinstones"

"Fingerprint"

"Boat"

"Barco"

Mean

0.3183

0.2615

0.2655

0.3054

0.1309

0.1309

0.1913

0.3122

Mean

2.3420

1.9289

1.9156

2.3861

1.1145

1.1375

1.6885

2.1334

Mean

0.5113

0.4407

0.4256

0.5158

0.3429

0.3491

0.4264

0.4584

Mean

3.0439

2.6016

2.6259

3.1045

2.3897

2.4181

2.8454

2.8954

Mean

0.5640

0.4931

0.4638

0.5764

0.4305

0.4310

0.4997

0.5185

Mean

3.2612

2.7893

2.9397

3.3283

2.7167

2.7670

3.1414

3.2043

Mean

0.5925

0.5151

0.4900

0.6066

0.4761

0.4802

0.5389

0.5505

Mean

3.3885

2.9240

3.2249

3.4733

2.8835

2.9493

3.3459

3.4142