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Table 3 Numerical comparison of Chan [32], Liu [12], CATVOGSL1, and CITVOGSL1 for images (a)–(d) in Fig. 5

From: New inexact explicit thresholding/shrinkage formulas for inverse problems with overlapping group sparsity

Is

N

Chan [32]

Liu [12]

 

L

μ/Itr

PSNR

Time

ReE

Itr

PSNR

Time

ReE

(a)

30

25/130

29.59

61.57

0.0796

35

30.92

30.23

0.0683

 

40

18/ 99

28.85

46.41

0.0866

37

30.11

31.54

0.0749

(b)

30

25/128

29.71

22.90

0.0501

35

31.81

12.93

0.0393

 

40

20/ 98

28.59

17.80

0.0570

40

30.70

14.99

0.0447

(c)

30

26/138

30.21

25.65

0.0607

35

32.15

12.84

0.0485

 

40

22/105

29.10

19.27

0.0689

37

31.04

13.67

0.0551

(d)

30

26/127

30.41

23.17

0.0975

36

32.47

13.15

0.0769

 

40

20/ 95

29.44

17.43

0.1091

39

31.43

14.27

0.0867

  

CATVOGSL1

CITVOGSL1

(a)

30

32

31.17

17.97

0.0663

41

31.34

21.56

0.0651

 

40

32

30.10

18.03

0.0751

37

30.06

19.95

0.0754

(b)

30

26

31.77

5.97

0.0395

29

31.75

6.26

0.0396

 

40

26

30.47

6.12

0.0459

29

30.22

6.38

0.0472

(c)

30

25

32.30

5.82

0.0477

30

32.08

6.75

0.0489

 

40

26

31.01

5.76

0.0553

27

30.50

6.19

0.0587

(d)

30

25

32.54

5.68

0.0764

29

32.51

6.75

0.0766

 

40

28

31.35

6.40

0.0875

32

31.06

7.33

0.0905

  1. PSNR dB, Time s, Is images, NL noise level (%)