基于非凸L1-2正则化的生物发光断层成像仿真研究 
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Simulation of Bioluminescence Tomography Based on Nonconvex L1-2 Regularization
陕西师范大学物理学与信息技术学院， 陕西 西安 710119
图 & 表
图 1. (a)数字鼠模型及单光源设置;(b)前向仿真得到的表面光强分布
Fig. 1. (a) Digital mouse model and source setting in single-source case; (b) surface intensity distribution generated by forward simulation
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图 2. 单光源重建结果对比。(a) L1-2、(b) IVTCG、(c) SpaRSA、(d) StOMP重建结果的3D视图;(e) L1-2、(f) IVTCG、(g) SpaRSA、(h) StOMP重建结果在真实光源中心Z=19.2 mm处的 XY平面的截面视图,其中红色圆圈代表真实光源
Fig. 2. Comparison of reconstruction results in single-source case. 3D views of the reconstruction results by (a) L1-2, (b) IVTCG, (c) SpaRSA, (d) StOMP; transverse views at Z=19.2 mm of the reconstruction results by (e) L1-2, (f) IVTCG, (g) SpaRSA, (h) StOMP, where the red circle represents the real source
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图 3. (a)数字鼠模及双光源位置;(b)前向仿真得到的表面光强分布
Fig. 3. (a) Digital mouse model and sources setting in double-source case; (b) surface intensity distribution generated by forward simulation
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图 4. 双光源重建结果对比。(a) L1-2、(b) IVTCG、(c) SpaRSA、(d) StOMP重建结果的3D视图;(e) L1-2、(f) IVTCG、(g) SpaRSA、(h) StOMP重建结果在真实光源中心Z=27.9 mm处的XY平面的截面视图,其中红色圆圈代表真实光源
Fig. 4. Comparison of reconstruction results in double-source case. 3D views of the reconstruction results by (a) L1-2, (b) IVTCG, (c) SpaRSA, (d) StOMP; transverse views at Z=27.9 mm of the reconstruction results by (e) L1-2, (f) IVTCG, (g) SpaRSA, (h) StOMP, where the red circle represents the real source
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表 1数字鼠模型的光学参数[21]
Table1. Optical parameters for the model of the digital mouse
| Parameter | Muscle | Heart | Stomach | Liver | Kidney | Lung |
|---|
| μa /mm-1 | 0.10 | 0.21 | 0.01 | 0.126 | 0.066 | 0.22 | | μ's /mm-1 | 1.20 | 2.00 | 1.74 | 0.563 | 2.25 | 2.30 |
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表 2单光源实验重建结果
Table2. Reconstruction results in single-source case
| Method | Actual position center /mm | Reconstruction position center /mm | LE /mm | T /s |
|---|
| L1-2 | (9.2,7.2,19.2) | (9.21,7.59,18.99) | 0.45 | 5.44 | | IVTCG | (9.2,7.2,19.2) | (9.54,7.64,18.64) | 0.79 | 6.34 | | SpaRSA | (9.2,7.2,19.2) | (9.07,7.33,18.64) | 0.59 | 2.75 | | StOMP | (9.2,7.2,19.2) | (10.27,7.13,19.92) | 1.29 | 3.84 |
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表 3双光源实验重建结果
Table3. Reconstruction results in double-source case
| Method | Target | Actual position center /mm | Reconstruction position center /mm | LE /mm | T /s |
|---|
| L1-2 | Source 1 | (9.6,15.3,27.9) | (9.73,15.05,27.60) | 0.41 | | | Source 2 | (12.5,15.3,27.9) | (11.91,15.54,27.66) | 0.68 | 3.73 | | IVTCG | Source 1 | (9.6,15.3,27.9) | (9.79,14.86,27.74) | 0.43 | | | Source 2 | (12.5,15.3,27.9) | (11.80,15.25,27.49) | 1.11 | 4.16 | | SpaRSA | Source 1 | (9.6,15.3,27.9) | (11.56,14.84,27.53) | 2.04 | | | Source 2 | (12.5,15.3,27.9) | (11.82,15.11,27.54) | 0.79 | 1.08 | | StOMP | Source 1 | (9.6,15.3,27.9) | (10.46,16.14,29.53) | 2.02 | | | Source 2 | (12.5,15.3,27.9) | (12.39,16.47,28.32) | 1.24 | 3.18 |
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表 4不同噪声水平下的重建结果
Table4. Reconstruction results under different noise levels
| Noise level /% | Actual position center /mm | Reconstruction position center /mm | LE /mm | T /s |
|---|
| 5 | (9.2,7.2,19.2) | (9.26,7.59,18.94) | 0.47 | 6.73 | | 10 | (9.2,7.2,19.2) | (9.23,7.61,18.89) | 0.51 | 7.82 | | 15 | (9.2,7.2,19.2) | (9.31,7.57,18.81) | 0.55 | 9.66 |
|
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余景景, 刘佳乐. 基于非凸L1-2正则化的生物发光断层成像仿真研究[J]. 中国激光, 2018, 45(4): 0407006. Yu Jingjing, Liu Jiale. Simulation of Bioluminescence Tomography Based on Nonconvex L1-2 Regularization[J]. Chinese Journal of Lasers, 2018, 45(4): 0407006.
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