• Acta Optica Sinica
  • Vol. 38, Issue 12, 1211002 (2018)
Shaoyu Wang1、2、*, Weiwen Wu1、2, Changcheng Gong1、2, and Fenglin Liu1、2、*
Author Affiliations
  • 1 Key Lab of Optoelectronic Tech. and Sys. of the Education Ministry of China Chongqing University, Chongqing 400044, China
  • 2 Engineering Research Center of Industrial Computed Tomography Nondestructive Testing, Ministry of Education, Chongqing University, Chongqing 400044, China
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    DOI: 10.3788/AOS201838.1211002 Cite this Article Set citation alerts
    Shaoyu Wang, Weiwen Wu, Changcheng Gong, Fenglin Liu. Study of Parallel Translation Computed Laminography Imaging[J]. Acta Optica Sinica, 2018, 38(12): 1211002 Copy Citation Text show less
    Imaging geometry and variables of PTCL system
    Fig. 1. Imaging geometry and variables of PTCL system
    Simulation phantom
    Fig. 2. Simulation phantom
    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. 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]
    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. 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]
    Central horizontal profiles of global reconstructed images from noise-free cone-beam data by (a) FDK, (b) SART and (c) SART+TV algorithm
    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
    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. 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]
    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. 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
    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. 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]
    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. 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
    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. 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]
    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. 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
    (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. 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)
    (a) Detected chip; (b) PCB
    Fig. 13. (a) Detected chip; (b) PCB
    128th slice reconstructed images by using (a) FDK and (b) SART+TV methods
    Fig. 14. 128th slice reconstructed images by using (a) FDK and (b) SART+TV methods
    PCB 111th slice reconstructed results 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
    ParametersValue
    Source to detector distance SD /mm1128
    Source to object distance SO /mm126.9
    Detector modeEqui-distance
    Detector array length /Pixel512
    Translation modeEqui-angular
    Reconstruction matrix256×256×256
    Pixel size /(mm×mm)1.01×1.01
    Number of iterations50
    Table 1. Parameters of the numerical simulation
    Method30°60°90°120°
    FDK71002950875405
    SART145.45.03.8
    SART+TV115.12.92.1
    Table 2. Normalized mean square error of global reconstructed images from noise-free cone-beam data with different angles and different algorithms10-4
    Method30°60°90°120°
    FDK831935411257699
    SART1510.49.07.1
    SART+TV145.65.44.9
    Table 3. Normalized mean square error of global reconstructed images from noise cone-beam data with different angles and different algorithms10-4
    Method30°60°90°120°
    FDK8529498922891866
    SART88736963
    SART+TV80686861
    Table 4. Quantitative assessment in terms of local reconstruction images normalized mean square error10-4
    ParameterValue
    Source to detector distance SD /mm195
    Source to object distance SO /mm33
    Detector modeEqui-spatial
    Detector array length /(pixel×pixel)3072×864
    Pixel size /(mm×mm)0.0748×0.0748
    Translation modeequi-angular
    Reconstruction matrix256×256×256
    Graduation angle /(°)60
    Number of translate250
    Table 5. Scanning parameters
    Shaoyu Wang, Weiwen Wu, Changcheng Gong, Fenglin Liu. Study of Parallel Translation Computed Laminography Imaging[J]. Acta Optica Sinica, 2018, 38(12): 1211002
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