Acta Optica Sinica, Volume. 43, Issue 14, 1434001(2023)
Dual Plug and Play Multi-Energy Computed Tomography Reconstruction Algorithm
Figures & Tables(15)
Fig. 4. Truth images of different energy channels. (a) Truth image of the channel [16-22) keV; (b) truth image of the channel [28-31) keV; (c) truth image of the channel [41-50) keV
Fig. 5. Reconstruction results of different algorithms under the incomplete dataset problem. (a) Reconstruction results under the channel [16-22) keV; (b) reconstruction results under the channel [28-31) keV; (c) reconstruction results under the channel [41-50) keV
Fig. 6. ROI comparison results of reconstructed images. (a) Reconstruction results under the channel [16-22) keV; (b) reconstruction results under the channel [28-31) keV; (c) reconstruction results under the channel [41-50) keV
Fig. 7. Pixel values of reconstruction results of different algorithms under incomplete dataset. (a) Reconstruction results under the channel [16-22) keV; (b) reconstruction results under the channel [28-31) keV; (c) reconstruction results under the channel [41-50) keV
Fig. 8. Reconstruction results of different algorithms under the noise interference problem. (a) Reconstruction results under the channel [16-22) keV; (b) reconstruction results under the channel [28-31) keV; (c) reconstruction results under the channel [41-50) keV
Fig. 9. Pixel values of reconstruction results of different algorithms under noise interference. (a) Reconstruction results under the channel [16-22) keV; (b) reconstruction results under the channel [28-31) keV; (c) reconstruction results under the channel [41-50) keV
Fig. 10. Performance of different algorithms after adding different intensity random noise to different sampling data (channel 1)
Fig. 11. Convergence line of the logarithm with RMSE at different problems. (a) Incomplete dataset problem; (b) noise interference problem
Table 1. Scanning and reconstruction parameters in the simulation experiment
View tableTable 1. Scanning and reconstruction parameters in the simulation experiment
Parameter Value Distance from ray source to detector /mm 180 Distance from ray source to object /mm 132 Number of detector bins 512 Detector bin size /mm 0.1 Size of the reconstructed image 256×256 Pixel size /mm 0.15 Scanning range/（°） 60
Table 2. Quantitative results of reconstructed images obtained by different algorithms on the simulated data under incomplete dataset
View tableTable 2. Quantitative results of reconstructed images obtained by different algorithms on the simulated data under incomplete dataset
Channel Parameter SART ASD-POCS SISTER Proposed algorithm ［16-22）keV PSNR /dB 24.8516 28.7434 38.8864 39.7786 SSIM 0.2821 0.5546 0.9687 0.9708 RMSE 0.0282 0.0169 0.0057 0.0055 ［28-31）keV PSNR /dB 24.3143 28.6179 38.7509 39.4527 SSIM 0.2651 0.5454 0.9667 0.9719 RMSE 0.0105 0.0061 0.0021 0.0018 ［41-50）keV PSNR /dB 22.4219 26.6775 32.2238 34.1206 SSIM 0.2149 0.4575 0.9434 0.9482 RMSE 0.0058 0.0033 0.0017 0.0015
Table 3. Quantitative results of reconstructed images obtained by different algorithms on the simulated data under noise interference
View tableTable 3. Quantitative results of reconstructed images obtained by different algorithms on the simulated data under noise interference
Channel Parameter SART ASD-POCS SISTER Proposed algorithm ［16-22）keV PSNR /dB 20.8192 28.7276 37.0766 37.1523 SSIM 0.1489 0.4957 0.9351 0.9360 RMSE 0.0525 0.0187 0.0078 0.0076 ［28-31）keV PSNR /dB 19.9057 27.9619 36.9576 37.0246 SSIM 0.1392 0.4737 0.9351 0.9383 RMSE 0.0198 0.0069 0.0028 0.0027 ［41-50）keV PSNR /dB 17.7154 24.8022 32.1539 32.7097 SSIM 0.1159 0.3492 0.8954 0.9011 RMSE 0.0114 0.0040 0.0020 0.0019
Table 4. Iteration time of different algorithms for different problems
View tableTable 4. Iteration time of different algorithms for different problems
Problem name Number of iterations Iteration time of SISTER Iteration time of the proposed algorithm Incomplete dataset 100 89.6 min 21.7 min 1 53.8 s 13.0 s Noise interference 100 166.9 min 44.7 min 1 100.1 s 26.8 s
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Yizhong Wang, Ailong Cai, Ningning Liang, Xiaohuan Yu, Junru Ren, Lei Li, Bin Yan. Dual Plug and Play Multi-Energy Computed Tomography Reconstruction Algorithm[J]. Acta Optica Sinica, 2023, 43(14): 1434001
Paper Information
Category: X-Ray Optics
Received: Feb. 22, 2023
Accepted: Apr. 3, 2023
Published Online: Jul. 13, 2023
The Author Email: Bin Yan (ybspace@hotmail.com)
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