• Acta Optica Sinica
  • Vol. 40, Issue 14, 1411001 (2020)
Ting Luo1、2 and Yunsong Zhao2、3、*
Author Affiliations
  • 1School of Police Information Engineering and Cyber Security, People's Public Security University of China, Beijing 100038, China
  • 2School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China
  • 3Beijing Advanced Innovation Center for Imaging Technology, Capital Normal University, Beijing, 100048, China
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    DOI: 10.3788/AOS202040.1411001 Cite this Article Set citation alerts
    Ting Luo, Yunsong Zhao. An Acceleration Algorithm for Dual-Spectral Computed Tomography Reconstruction[J]. Acta Optica Sinica, 2020, 40(14): 1411001 Copy Citation Text show less
    Different spectra and corresponding projections. (a) Spectra; (b) contour lines of projection equations with Fi=4,Gi=1; (c) projections versus Fi; (d) projections versus Gi
    Fig. 1. Different spectra and corresponding projections. (a) Spectra; (b) contour lines of projection equations with Fi=4,Gi=1; (c) projections versus Fi; (d) projections versus Gi
    Contour lines of projection equations with diferent weights
    Fig. 2. Contour lines of projection equations with diferent weights
    Trajectory of iterative solutions and the curves of the relative errors with different bases. (a) Trajectory curves of 200 iteration solutions; (b) curves of the relative errors with respect to the number of iterations
    Fig. 3. Trajectory of iterative solutions and the curves of the relative errors with different bases. (a) Trajectory curves of 200 iteration solutions; (b) curves of the relative errors with respect to the number of iterations
    Simulated phantom and X-ray spectra used in experiments. (a) Dental phantom; (b) spectra
    Fig. 4. Simulated phantom and X-ray spectra used in experiments. (a) Dental phantom; (b) spectra
    Reconstructed images after 6 iterations with the E-ART method and the proposed AE-ART method
    Fig. 5. Reconstructed images after 6 iterations with the E-ART method and the proposed AE-ART method
    Reconstructed images after 15 iterations with the E-ART method and the proposed AE-ART method
    Fig. 6. Reconstructed images after 15 iterations with the E-ART method and the proposed AE-ART method
    Profiles of the reconstructed images in Fig.5 and Fig. 6 at the corresponding vertical line shown in Fig.4(a). (a),(b) and (c) Results from 6 iterations shown in Fig.5; (d),(e) and (f) results from 15 iterations shown in Fig.6
    Fig. 7. Profiles of the reconstructed images in Fig.5 and Fig. 6 at the corresponding vertical line shown in Fig.4(a). (a),(b) and (c) Results from 6 iterations shown in Fig.5; (d),(e) and (f) results from 15 iterations shown in Fig.6
    NMAD of the reconstructed images with the E-ART method and the proposed AE-ART method. (a) Results of water images; (b) results of bone images; (c) results of monochromatic images
    Fig. 8. NMAD of the reconstructed images with the E-ART method and the proposed AE-ART method. (a) Results of water images; (b) results of bone images; (c) results of monochromatic images
    ImagePrecisionNumber of iterations
    E-ARTAE-ART (αangle)AE-ART (αcond)
    Water basis0.03221514
    0.01734948
    Bone basis0.03523635
    0.01>1009494
    60-keVmonochromaticimage0.03322
    0.011066
    0.001805454
    Table 1. Number of algorithm iterations required when the image reaches a certain accuracy
    Ting Luo, Yunsong Zhao. An Acceleration Algorithm for Dual-Spectral Computed Tomography Reconstruction[J]. Acta Optica Sinica, 2020, 40(14): 1411001
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