Author Affiliations
1School of Police Information Engineering and Cyber Security, People's Public Security University of China, Beijing 100038, China2School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China3Beijing Advanced Innovation Center for Imaging Technology, Capital Normal University, Beijing, 100048, Chinashow less
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
Fig. 2. Contour lines of projection equations with diferent weights
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
Fig. 4. Simulated phantom and X-ray spectra used in experiments. (a) Dental phantom; (b) spectra
Fig. 5. Reconstructed images after 6 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
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
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
Image | Precision | Number of iterations |
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E-ART | AE-ART (αangle) | AE-ART (αcond) |
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Water basis | 0.03 | 22 | 15 | 14 | 0.01 | 73 | 49 | 48 | Bone basis | 0.03 | 52 | 36 | 35 | 0.01 | >100 | 94 | 94 | 60-keVmonochromaticimage | 0.03 | 3 | 2 | 2 | 0.01 | 10 | 6 | 6 | 0.001 | 80 | 54 | 54 |
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Table 1. Number of algorithm iterations required when the image reaches a certain accuracy