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EURASIP Journal on Image and Video Processing

Table 1 Means, variances, minima, and maxima of the PSNRs computed over 25 noise realizations, when denoising test images by the SURE SigShrink, SURE LD-SigShrink, and "sum of DOGs" methods. The tested images are corrupted by AWGN with standard deviation . The DWT is computed by using the "sym8" wavelet. Some statistics are given in Tables 2, 3, 4, and 5 for the SigShrink and LD-SigShrink optimal SURE parameters.

From: Smooth Adaptation by Sigmoid Shrinkage

Image

"House"

"Peppers"

"Barbara"

"Lena"

"Flin"

"Finger"

"Boat"

"Barco"

( Input PSNR = 34.1514).

Mean(PSNR)

SigShrink

37.1570

36.4765

36.2587

37.3046

35.2207

35.3831

36.1187

36.6890

 

LD-SigShrink

37.4880

36.6827

36.3980

37.5518

35.3128

35.8805

36.3608

36.9928

 

SURELET

37.3752

36.6708

36.3767

37.5023

35.3102

35.9472

36.3489

35.9698

Var(PSNR)

SigShrink

0.4269

0.3635

0.0746

0.0696

0.0702

0.0630

0.0533

0.5338

 

LD-SigShrink

0.8786

0.3081

0.0879

0.0643

0.0262

0.0571

0.0937

0.5613

 

SURELET

0.5154

0.4434

0.0994

0.1241

0.0413

0.0453

0.0479

0.3132

Min(PSNR)

SigShrink

37.1067

36.4479

36.2409

37.2837

35.2021

35.3681

36.1060

36.6384

 

LD-SigShrink

37.4427

36.6502

36.3764

37.5377

35.3043

35.8695

36.3409

36.9220

 

SURELET

37.3196

36.6280

36.3502

37.4799

35.2986

35.9355

36.3353

35.9190

Max(PSNR)

SigShrink

37.2101

36.5211

36.2753

37.3202

35.2385

35.4043

36.1309

36.7345

 

LD-SigShrink

37.5405

36.7100

36.4175

37.5750

35.3244

35.8985

36.3790

37.0374

 

SURELET

37.4218

36.7061

36.3967

37.5198

35.3255

35.9614

36.3636

35.9960

( Input PSNR = 24.6090).

Mean(PSNR)

SigShrink

31.0833

29.5395

28.9750

31.3434

27.9386

28.1546

29.6099

29.9200

 

LD-SigShrink

31.6472

30.0930

29.3972

32.0571

28.3815

29.4191

30.2895

30.4545

 

SURELET

31.2834

29.9621

29.2817

31.9059

28.3502

29.4365

30.2706

27.4525

Var(PSNR)

SigShrink

0.0016

0.0010

0.0003

0.0003

0.0001

0.0002

0.0003

0.0019

 

LD-SigShrink

0.0030

0.0009

0.0003

0.0008

0.0002

0.0002

0.0003

0.0015

 

SURELET

0.0014

0.0008

0.0003

0.0004

0.0001

0.0002

0.0003

0.0005

Min(PSNR)

SigShrink

31.0022

29.4883

28.9490

31.3068

27.9221

28.1188

29.5829

29.8443

 

LD-SigShrink

31.5005

30.0315

29.3741

31.9621

28.3647

29.3908

30.2563

30.3773

 

SURELET

31.2056

29.9124

29.2378

31.8653

28.3339

29.3967

30.2468

27.4074

Max(PSNR)

SigShrink

31.1630

29.6216

29.0129

31.3777

27.9555

28.1724

29.6416

30.0088

 

LD-SigShrink

31.7552

30.1848

29.4313

32.0952

28.4164

29.4604

30.3272

30.5144

 

SURELET

31.3555

30.0225

29.3075

31.9350

28.3616

29.4571

30.3093

27.4843

( Input PSNR = 20.1720).

Mean(PSNR)

SigShrink

28.5549

26.5452

25.9539

28.7835

24.8761

25.1774

26.9844

27.2684

 

LD-SigShrink

29.2948

27.3111

26.5146

29.7435

25.6407

26.6262

27.8216

27.9599

 

SURELET

28.8085

26.9941

26.4404

29.5937

25.5953

26.7659

27.8227

23.6221

Var(PSNR)

SigShrink

0.0015

0.0009

0.0004

0.0007

0.0002

0.0002

0.0002

0.0017

 

LD-SigShrink

0.0028

0.0022

0.0006

0.0013

0.0002

0.0003

0.0007

0.0024

 

SURELET

0.0015

0.0024

0.0004

0.0004

0.0003

0.0003

0.0004

0.0006

Min(PSNR)

SigShrink

28.4563

26.4906

25.9164

28.7256

24.8499

25.1474

26.9606

27.1534

 

LD-SigShrink

29.1894

27.2160

26.4642

29.6501

25.6143

26.5912

27.7927

27.8702

 

SURELET

28.7439

26.8867

26.4128

29.5424

25.5599

26.7256

27.7803

23.5541

Max(PSNR)

SigShrink

28.6309

26.5974

25.9921

28.8215

24.8962

25.1962

27.0133

27.3490

 

LD-SigShrink

29.4082

27.3887

26.5684

29.8135

25.6715

26.6726

27.8970

28.0518

 

SURELET

28.8828

27.0884

26.4771

29.6331

25.6259

26.8062

27.8615

23.6703

( Input PSNR = 17.2494).

Mean(PSNR)

SigShrink

26.9799

24.6863

24.2771

27.1918

22.9274

23.3429

25.4271

25.7142

 

LD-SigShrink

27.7840

25.5818

24.8910

28.2782

23.9326

24.9625

26.3764

26.5068

 

SURELET

27.2768

25.1307

24.8383

28.1462

23.8954

25.0756

26.3880

21.3570

Var(PSNR)

SigShrink

0.0018

0.0014

0.0005

0.0011

0.0002

0.0002

0.0006

0.0020

 

LD-SigShrink

0.0071

0.0035

0.0006

0.0022

0.0007

0.0003

0.0011

0.0035

 

SURELET

0.0021

0.0012

0.0004

0.0008

0.0003

0.0003

0.0006

0.0007

Min(PSNR)

SigShrink

26.8957

24.6337

24.2299

27.1388

22.9031

23.3139

25.3856

25.6094

 

LD-SigShrink

27.6242

25.4966

24.8499

28.1395

23.8746

24.9369

26.3102

26.3964

 

SURELET

27.1928

25.0577

24.7906

28.0753

23.8608

25.0446

26.3167

21.3180

Max(PSNR)

SigShrink

27.0502

24.7740

24.3079

27.2623

22.9493

23.3813

25.4782

25.7942

 

LD-SigShrink

27.9473

25.7515

24.9507

28.3628

23.9717

24.9984

26.4346

26.5985

 

SURELET

27.3627

25.2000

24.8701

28.1867

23.9375

25.1146

26.4311

21.4116

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