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Table 7 The average PSNR and SSIM values for different Lagrange multipliers (3 ×)

From: Noisy image magnification with total variation regularization and order-changed dictionary learning

λ 1

λ 2

    
 

0.2

0.4

0.6

0.8

0.2

0.4

0.6

0.8

 

σ=5

σ=10

0.2

30.391

30.329

30.368

30.061

27.615

27.660

27.763

27.480

 

0.8763

0.8732

0.8714

0.8461

0.6927

0.6984

0.7048

0.6406

0.4

30.596

30.575

30.675

30.083

27.018

27.155

27.196

27.531

 

0.8834

0.8833

0.8867

0.8463

0.6358

0.6513

0.6560

0.6449

0.6

30.623

30.653

30.677

30.077

26.770

26.809

26.842

27.583

 

0.8783

0.8813

0.8826

0.8459

0.6162

0.6185

0.6218

0.6508

0.8

30.557

30.592

30.610

30.088

26.541

26.624

26.565

27.470

 

0.8694

0.8746

0.8757

0.8485

0.5910

0.6017

0.6048

0.6422

 

σ=15

σ=20

0.2

23.833

24.115

24.271

24.459

20.997

21.136

21.327

22.030

 

0.5460

0.5735

0.5851

0.5448

0.3961

0.4036

0.4117

0.4123

0.4

23.141

23.266

23.316

24.428

20.020

19.999

20.031

22.065

 

0.4908

0.5003

0.5078

0.5411

0.3359

0.3317

0.3400

0.4158

0.6

22.785

22.795

22.931

24.415

19.602

19.754

19.723

22.157

 

0.4673

0.4685

0.4835

0.5370

0.3075

0.3197

0.3132

0.4273

0.8

22.385

22.465

22.612

24.512

19.432

19.583

19.557

22.022

 

0.4411

0.4515

0.4592

0.5526

0.3069

0.3108

0.3147

0.4108

  1. PSNR, peak signal-to-noise ratio; SSIM, structural similarity.