Laser & Optoelectronics Progress, Volume. 58, Issue 6, 610004(2021)
X-Ray Image Reconstruction Based on Hierarchical Model and Low-Rank Approximation
Figures & Tables(6)
Fig. 1. Reconstruction results of FTO variable density image at 3% noise level. (a) Noise-containing optical path image; (b) original image; (c) GPSR; (d) PNM_WLSA; (e) LRIS_ Gamma; (f) LRIS_ Jefferys; (g) SPA; (h) proposed method
Fig. 2. Reconstruction results of FTO constant density image at 3% noise level. (a) Noise-containing optical path image; (b) original image; (c) GPSR; (d) PNM_WLSA; (e) LRIS_ Gamma; (f) LRIS_ Jefferys; (g) SPA; (h) proposed method
Fig. 3. Real X-ray images and reconstructed results. (a) Real X-ray images; (b) reconstruction results
Fig. 4. Reconstruction results of different algorithms. (a) Regional profile diagram of tin column (CL3); (b) regional profile diagram of tin disk (DR1)
Table 1. RE index comparison of reconstruction results
View tableTable 1. RE index comparison of reconstruction results
Level Image GPSR PNM_WLSA LRIS_Gamma LRIS_Jeffery SPA Proposed method Without Variable 4.5555 1.0347 2.5944 0.5969 0.1905 0.0314 Constant 4.7999 0.0647 1.4813 0.5306 0.0575 0.0167 1% Variable 12.5872 10.5030 7.5038 7.4159 12.4355 6.6443 Constant 11.5150 10.3293 7.6023 7.5830 12.1213 6.7618 3% Variable 30.0876 18.4590 11.0394 10.9658 37.3054 10.5727 Constant 34.7712 21.2256 11.2630 11.4193 36.3674 10.9413 Average 16.3861 10.2694 6.9140 6.4186 16.4129 5.8280
Table 2. Inversion density mean and RE values of real X-ray images
View tableTable 2. Inversion density mean and RE values of real X-ray images
Material Type GPSR LRIS_Gamma LRIS_Jeffery SPA Proposed method Mean value / (g·cm-3) RE /% Mean value / (g·cm-3) RE /% Mean value / (g·cm-3) RE /% Mean value / (g·cm-3) RE /% Mean value / (g·cm-3) RE /% Tin column CR1 8.0139 11.7401 7.7475 11.7467 7.7483 11.7366 7.7155 10.8096 7.6290 7.3034 CR2 7.8343 9.1134 7.8812 10.7834 7.8811 10.7761 7.8089 10.7468 7.7340 7.2611 CR3 7.5226 6.0988 7.5995 9.6978 7.5997 9.7052 7.5602 6.4732 7.3716 5.1178 CL1 7.5348 6.9972 7.5823 9.8735 7.5814 9.8783 7.5888 8.3182 7.5333 6.0993 CL2 7.6763 7.3414 7.7443 9.9331 7.7441 9.9347 7.7003 8.2323 7.6551 6.6236 CL3 7.3830 5.8834 7.3996 7.3484 7.3993 7.3375 7.3600 6.2929 7.2870 4.1236 Tin disk DR1 2.7609 29.6224 2.7878 36.2860 2.7882 36.2980 2.7580 30.5813 2.6800 20.5984 DR2 2.6482 35.7142 2.6533 48.1308 2.6537 48.1613 2.6277 39.3447 2.6031 27.5855 DL1 2.6893 21.5367 2.7129 31.2793 2.7128 31.2982 2.6934 22.3698 2.6082 17.7010 DL2 2.6403 28.4398 2.6983 37.8450 2.6981 37.8484 2.6933 31.5025 2.6002 21.6413
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Wang Jiayu, Xu Jinxin, Li Qingwu. X-Ray Image Reconstruction Based on Hierarchical Model and Low-Rank Approximation[J]. Laser & Optoelectronics Progress, 2021, 58(6): 610004
Paper Information
Category: Image Processing
Received: Jul. 31, 2020
Accepted: --
Published Online: Mar. 11, 2021
The Author Email: Qingwu Li (li_qingwu@163.com)
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