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Table 1 The quantitative evaluation of the reconstructions computed in the numerical experiments

From: Combining dual-tree complex wavelets and multiresolution in iterative CT reconstruction with application to metal artifact reduction

Type

Conf.

Region

MRTV

MRTV-F

SRTV

SRTV-H

Haar-MRTV-F

FBP

RMSE

I

Full image

0.324

0.336

0.356

0.346

0.325

0.316

I

ROI 1

0.211

0.212

0.225

0.220

0.210

0.207

I

ROI 2

0.066

0.074

0.070

0.071

0.072

0.066

I

ROI 3

0.059

0.067

0.061

0.062

0.066

0.061

II

Full image

0.318

0.310

0.341

0.319

0.332

0.355

II

ROI 1

0.206

0.202

0.215

0.207

0.215

0.223

II

ROI 2

0.068

0.066

0.072

0.066

0.071

0.072

II

ROI 3

0.061

0.061

0.064

0.061

0.064

0.065

III

Full image

0.256

0.258

0.253

0.254

0.294

0.258

III

ROI 1

0.176

0.176

0.177

0.177

0.194

0.176

III

ROI 2

0.059

0.058

0.058

0.058

0.069

0.059

III

ROI 3

0.054

0.054

0.053

0.053

0.062

0.054

 

I

Full image

9.79

9.47

8.97

9.21

9.77

10.01

I

ROI 1

13.50

13.47

12.97

13.15

13.56

13.69

I

ROI 2

23.62

22.61

23.10

22.94

22.82

23.67

I

ROI 3

24.56

23.47

24.35

24.18

23.59

24.38

II

Full image

9.94

10.17

9.35

9.94

9.59

8.99

II

ROI 1

13.71

13.90

13.34

13.67

13.35

13.03

II

ROI 2

23.39

23.59

22.86

23.54

23.02

22.84

II

ROI 3

24.29

24.34

23.88

24.35

23.83

23.75

III

Full image

11.85

11.77

11.94

11.90

10.64

11.78

III

ROI 1

15.08

15.07

15.03

15.05

14.26

15.07

III

ROI 2

24.67

24.73

24.80

24.71

23.51

24.59

III

ROI 3

25.43

25.41

25.53

25.47

24.08

25.41

SSIM

I

Full image

0.16

0.24

0.10

0.13

0.31

0.16

I

ROI 1

0.834

0.839

0.829

0.831

0.841

0.836

I

ROI 2

0.993

0.993

0.993

0.993

0.993

0.993

I

ROI 3

0.996

0.996

0.996

0.996

0.995

0.996

II

Full image

0.21

0.28

0.14

0.17

0.21

0.10

II

ROI 1

0.839

0.843

0.835

0.838

0.834

0.829

II

ROI 2

0.993

0.993

0.993

0.993

0.992

0.993

II

ROI 3

0.996

0.996

0.996

0.996

0.995

0.995

III

Full image

0.72

0.71

0.76

0.77

0.55

0.67

III

ROI 1

0.910

0.905

0.915

0.917

0.858

0.901

III

ROI 2

0.994

0.994

0.995

0.995

0.993

0.994

III

ROI 3

0.996

0.996

0.996

0.996

0.995

0.996

  1. Note that SSIM values are not directly comparable between different subimages or ROIs, since SSIM is not invariant with respect to image size