Fig. 1. Imaging geometry and variables of PTCL system
Fig. 2. Simulation phantom
Fig. 3. 120° limited angle of global reconstructed images from noise-free cone-beam data. (a) Three-dimensional display; (b) 110th longitudinal profile, the display window is [0 0.8]
Fig. 4. 130th slice of global reconstructed images from noise-free cone-beam data. (a)-(d) FDK algorithm; (e)-(h) SART algorithm; (i)-(l) SART+TV algorithm, respectively. The first to fourth columns are from 30°, 60°, 90° and 120° limited angle, respectively, the display window is [0 0.8]
Fig. 5. Central horizontal profiles of global reconstructed images from noise-free cone-beam data by (a) FDK, (b) SART and (c) SART+TV algorithm
Fig. 6. 130th slice of global reconstructed images from noise cone-beam data. (a)-(d) FDK algorithm; (e)-(h) SART algorithm; (i)-(l) SART+TV algorithm, respectively. The first to fourth columns are from 30°, 60°, 90° and 120° limited angle, respectively, the display window is [0 0.8]
Fig. 7. Central horizontal profiles of 130th slice global reconstructed images from noise cone-beam data by (a) FDK, (b) SART and (c) SART+TV algorithm
Fig. 8. 12th slice of local reconstructed images from noise-free cone-beam data. (a)-(d) FDK algorithm; (e)-(h) SART algorithm; (i)-(l) SART+TV algorithm, respectively. The first to fourth columns are from 30°, 60°, 90° and 120° limited angle, respectively, the display window is [0 1.5]
Fig. 9. Horizontal profiles along y=14 within 12th slice of local reconstructed image from noise-free cone-beam by (a) FDK,(b) SART and (c) SART+TV algorithm
Fig. 10. Reconstructed images from noise-free cone-beam and 60° projection angle with different magnification ratios by using SART+TV algorithm. (a) Magnification ratio is 8.89; (b) magnification ratio is 6, the display window is [0 1.5]
Fig. 11. Horizontal profiles along y=14 of 12th slice reconstructed images with 60° limited angle and noise-free cone-beam data by SART+TV algorithm
Fig. 12. (a) Convergence curve of noise-free cone-beam data with 60° limited angle by using SART+TV algorithm; (b) enlarged image of Fig. (a)
Fig. 13. (a) Detected chip; (b) PCB
Fig. 14. 128th slice reconstructed images by using (a) FDK and (b) SART+TV methods
Fig. 15. PCB 111th slice reconstructed results by using (a) FDK and (b) SART+TV methods
Parameters | Value |
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Source to detector distance SD /mm | 1128 | Source to object distance SO /mm | 126.9 | Detector mode | Equi-distance | Detector array length /Pixel | 512 | Translation mode | Equi-angular | Reconstruction matrix | 256×256×256 | Pixel size /(mm×mm) | 1.01×1.01 | Number of iterations | 50 |
|
Table 1. Parameters of the numerical simulation
Method | 30° | 60° | 90° | 120° |
---|
FDK | 7100 | 2950 | 875 | 405 | SART | 14 | 5.4 | 5.0 | 3.8 | SART+TV | 11 | 5.1 | 2.9 | 2.1 |
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Table 2. Normalized mean square error of global reconstructed images from noise-free cone-beam data with different angles and different algorithms10-4
Method | 30° | 60° | 90° | 120° |
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FDK | 8319 | 3541 | 1257 | 699 | SART | 15 | 10.4 | 9.0 | 7.1 | SART+TV | 14 | 5.6 | 5.4 | 4.9 |
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Table 3. Normalized mean square error of global reconstructed images from noise cone-beam data with different angles and different algorithms10-4
Method | 30° | 60° | 90° | 120° |
---|
FDK | 8529 | 4989 | 2289 | 1866 | SART | 88 | 73 | 69 | 63 | SART+TV | 80 | 68 | 68 | 61 |
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Table 4. Quantitative assessment in terms of local reconstruction images normalized mean square error10-4
Parameter | Value |
---|
Source to detector distance SD /mm | 195 | Source to object distance SO /mm | 33 | Detector mode | Equi-spatial | Detector array length /(pixel×pixel) | 3072×864 | Pixel size /(mm×mm) | 0.0748×0.0748 | Translation mode | equi-angular | Reconstruction matrix | 256×256×256 | Graduation angle /(°) | 60 | Number of translate | 250 |
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Table 5. Scanning parameters