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Table 8 The average PSNR and SSIM values for different Lagrange multipliers (4 ×)

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

28.595

28.622

28.554

28.566

26.399

26.329

26.415

26.533

 

0.8182

0.8215

0.8116

0.8073

0.6754

0.6745

0.6851

0.6889

0.4

28.795

28.748

28.824

28.719

25.908

25.972

26.048

26.056

 

0.8284

0.8253

0.8306

0.8208

0.6334

0.6464

0.6500

0.6493

0.6

28.791

28.716

28.751

28.799

25.644

25.768

25.809

25.820

 

0.8211

0.8219

0.8249

0.8216

0.6158

0.6158

0.6234

0.6282

0.8

28.759

28.760

28.694

28.807

25.529

25.631

25.539

25.651

 

0.8168

0.8220

0.8188

0.8226

0.6040

0.6108

0.6038

0.6130

 

σ=15

σ=20

0.2

23.479

23.622

23.787

23.744

21.353

21.579

21.898

21.970

 

0.5023

0.5123

0.5255

0.5292

0.3841

0.3954

0.4336

0.4300

0.4

22.777

22.824

22.984

23.110

20.667

20.689

20.985

20.886

 

0.4488

0.4556

0.4658

0.4790

0.3484

0.3473

0.3627

0.3684

0.6

22.415

22.445

22.582

22.698

20.488

20.284

20.459

20.532

 

0.4260

0.4260

0.4393

0.4407

0.3358

0.3267

0.3313

0.3399

0.8

22.227

22.241

22.529

22.399

20.271

20.269

20.210

20.357

 

0.4150

0.4094

0.4297

0.4254

0.3174

0.3167

0.3146

0.3309

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