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Table 2 PSNR (top left), sharpness (bottom left), SSIM (top right), and contrast (bottom right), for each image first row (scale factor 3) and second row (scale factor 4) comparison of the bicubic (Bic.) technique, algorithm of Yang et al.’s [11], algorithm of Xu et al.’s [12], and the proposed algorithm

From: Single image super-resolution by directionally structured coupled dictionary learning

Images

Bic.

[11]

[12]

Proposed (PMS)

AnnieYukiTim

26.04

0.7870

30.66

0.8957

30.64

0.8950

31.3

0.8990

 

0.6800

0.3932

0.5118

0.2493

0.5118

0.2463

0.4868

0.2533

 

26.94

0.7600

27.62

0.8174

27.62

0.8169

28.10

0.8211

 

0.8059

0.5246

0.6938

0.3900

0.6935

0.3891

0.6719

0.3904

Barbara

24.52

0.7111

25.24

0.7490

24.60

0.7254

25.62

0.7727

 

0.8606

0.6644

0.7807

0.5842

0.7791

0.5820

0.7629

0.5834

 

23.60

0.6570

23.82

0.6744

23.82

0.6743

24.15

0.7018

 

0.9102

0.7360

0.8631

0.6765

0.8628

0.6756

0.8429

0.6732

BooksCIMAT

22.20

0.6360

24.72

0.8102

24.69

0.8087

24.77

0.8210

 

0.7883

0.5292

0.6059

0.3423

0.6078

0.3417

0.5867

0.3353

 

21.62

0.5863

22.94

0.7007

22.94

0.7007

23.30

0.7104

 

0.8585

0.5998

0.7459

0.4505

0.7462

0.4502

0.7310

0.4517

Butterfly

20.99

0.7329

25.89

0.8627

25.83

0.8600

26.65

0.8652

 

0.6085

0.2283

0.4148

0.0736

0.4119

0.0679

0.3824

0.0876

 

22.14

0.6990

23.00

0.7564

23.00

0.7550

23.75

0.7655

 

0.7362

0.3279

0.5921

0.1543

0.5874

0.1520

0.5567

0.1616

Fence

22.20

0.5741

22.70

0.6494

22.69

0.6488

23.84

0.6894

 

0.8202

0.6847

0.6854

0.5192

0.6793

0.5234

0.6740

0.5378

 

21.49

0.4885

21.87

0.5547

21.89

0.5545

22.13

0.5692

 

0.9082

0.7965

0.8420

0.7037

0.8425

0.7033

0.8243

0.7014

ForbiddenCity

22.38

0.4415

24.02

0.6123

24.06

0.6140

24.20

0.6294

 

0.8500

0.7079

0.7470

0.5722

0.7482

0.5717

0.7185

0.5572

 

22.06

0.3498

22.73

0.4615

22.74

0.4625

23.23

0.4976

 

0.9151

0.7982

0.8411

0.6791

0.8426

0.6794

0.8204

0.6733

HowMany

23.56

0.6774

27.15

0.8396

27.12

0.8384

27.71

0.8432

 

0.6947

0.3788

0.5326

0.2429

0.5338

0.2413

0.5068

0.2460

 

22.96

0.6048

24.85

0.7303

24.85

0.7295

25.30

0.7995

 

0.7996

0.4872

0.6855

0.3499

0.6842

0.3493

0.6611

0.3505

Kodak-05

23.05

0.6121

24.28

0.7147

24.25

0.7136

24.81

0.7381

 

0.8003

0.5698

0.6708

0.4227

0.6716

0.4212

0.6503

0.4251

 

20.80

0.4341

22.60

0.5945

22.58

0.5936

23.95

0.6320

 

0.8862

0.6848

0.8120

0.5702

0.8114

0.5691

0.7886

0.5623

Kodak-08

20.72

0.5695

21.84

0.6723

21.84

0.6724

22.50

0.7070

 

0.8180

0.5988

0.7058

0.4691

0.7065

0.4673

0.6818

0.4688

 

18.70

0.3914

20.61

0.5493

20.60

0.5497

21.71

0.6603

 

0.8971

0.7025

0.8349

0.6098

0.8357

0.6080

0.8072

0.6035

Michoacan

21.22

0.6522

22.64

0.7446

22.61

0.7429

23.23

0.7605

 

0.7766

0.5345

0.6365

0.3887

0.6357

0.3870

0.6112

0.3900

 

18.76

0.4721

20.84

0.6253

20.81

0.6235

21.10

0.6758

 

0.8715

0.6503

0.7878

0.5359

0.7886

0.5346

0.7630

0.5290

MissionBay

24.13

0.7399

25.52

0.8019

25.50

0.8021

26.35

0.8167

 

0.7566

0.4472

0.6129

0.3053

0.6139

0.3056

0.5816

0.3122

 

21.77

0.6162

24.05

0.7309

24.06

0.7305

24.93

0.8129

 

0.8149

0.5062

0.6985

0.3702

0.6980

0.3704

0.6697

0.3707

NuRegions

15.08

0.5079

18.22

0.7765

18.24

0.7765

18.84

0.7840

 

0.7198

0.4805

0.5369

0.2410

0.5419

0.2402

0.5176

0.2395

 

13.39

0.2408

15.70

0.5647

15.72

0.5657

16.21

0.6836

 

0.8503

0.6714

0.7069

0.4420

0.7091

0.4416

0.6907

0.4369

Peppers

24.00

0.7678

28.58

0.9013

28.52

0.8993

28.99

0.9810

 

0.6997

0.3360

0.5512

0.2168

0.5502

0.2153

0.5100

0.2160

 

25.34

0.7786

26.63

0.8377

26.56

0.8355

27.30

0.9130

 

0.7447

0.3731

0.6059

0.2406

0.6061

0.2382

0.5710

0.2425

Rocio

30.27

0.8704

33.77

0.9376

33.70

0.9327

34.42

0.9390

 

0.5753

0.2492

0.3732

0.1271

0.3739

0.1237

0.3374

0.1335

 

29.27

0.8407

31.22

0.8926

31.22

0.8917

32.77

0.9010

 

0.6694

0.3241

0.5114

0.1975

0.5110

0.1964

0.4725

0.1991

Starfish

24.38

0.7056

28.67

0.8643

28.61

0.8625

29.24

0.8720

 

0.6675

0.3748

0.4815

0.2229

0.4835

0.2220

0.4580

0.2238

 

25.18

0.6960

25.79

0.7595

25.78

0.7584

26.34

0.8020

 

0.7960

0.5033

0.6746

0.3647

0.6734

0.3634

0.6517

0.3616

Yan

24.27

0.6847

26.42

0.8061

26.41

0.8057

27.30

0.8121

 

0.7470

0.4719

0.5922

0.3134

0.5933

0.3123

0.5640

0.3188

 

22.74

0.6047

24.12

0.6907

24.14

0.6910

25.71

0.7019

 

0.8496

0.5864

0.7534

0.4532

0.7527

0.4529

0.7246

0.4526

Average

23.06

0.6669

25.65

0.7899

25.58

0.7874

26.24

0.8081

 

0.7414

0.4781

0.5900

0.3307

0.5902

0.3293

0.5644

0.3330

 

22.30

0.5763

23.65

0.6838

23.65

0.6833

24.37

0.7280

 

0.8321

0.5795

0.7281

0.4493

0.7278

0.4483

0.7030

0.4475

  1. The data in boldface signifies highest value in comparison