Table 1 Comparison of the quantitative indices obtained by different methods on MRI data at different sampling rates

Data A

Gaussian

27.04

0.643

2.983

28.99

0.722

5.871

30.74

0.788

11.685

32.34

0.836

24.456

Sym-Bern

26.26

0.619

5.899

27.87

0.693

11.894

29.35

0.751

24.522

30.89

0.788

48.548

Circ-Gauss

27.22

0.651

5.916

28.94

0.728

9.656

30.69

0.792

19.234

32.38

0.845

36.902

HT

26.61

0.614

3.663

29.01

0.706

6.097

31.03

0.781

12.877

32.35

0.823

24.326

Inverse-WT

24.21

0.521

3.394

26.11

0.606

7.523

28.19

0.694

13.302

29.98

0.778

27.711

\(\ell _{1}\)-SE-WT

27.29

0.652

3.226

29.30

0.729

6.775

30.95

0.790

13.302

32.56

0.836

26.526

Ours

28.84

0.718

0.612

30.71

0.783

1.322

32.25

0.837

2.666

33.57

0.870

5.396

Data B

Gaussian

25.24

0.518

1.802

27.02

0.607

4.033

28.38

0.677

7.491

29.83

0.740

14.442

Sym-Bern

24.53

0.487

3.528

25.94

0.563

6.991

27.00

0.626

13.282

28.61

0.708

23.763

Circ-Gauss

25.39

0.519

2.813

26.90

0.609

5.694

28.36

0.680

10.209

29.70

0.754

21.537

HT

24.27

0.486

1.639

26.56

0.586

4.084

28.39

0.665

7.172

29.76

0.715

14.234

Inverse-WT

23.11

0.444

1.933

25.08

0.556

3.715

26.55

0.654

8.411

28.85

0.737

16.107

\(\ell _{1}\)-SE-WT

23.80

0.457

1.866

26.29

0.567

4.739

28.24

0.662

7.199

29.64

0.722

15.421

Ours

26.68

0.592

0.363

28.09

0.668

0.890

29.34

0.733

1.432

30.65

0.801

2.894