Fast Reconstruction Method for Fluorescence Molecular Tomography Based on Autoencoder

Di Lu; Xiao Wei; Xin Cao; Xiaowei He; Yuqing Hou

doi:10.3788/AOS201939.0617001

Acta Optica Sinica, Volume. 39, Issue 6, 0617001(2019)

Fast Reconstruction Method for Fluorescence Molecular Tomography Based on Autoencoder

Di Lu^1,2, Xiao Wei^1,2, Xin Cao^1,2、**, Xiaowei He^1,2、*, and Yuqing Hou^1,2

Author Affiliations

¹ School of Information Sciences & Technology, Northwest University, Xi'an, Shaanxi 710127, China;

² Key Laboratory for Radiomics and Intelligent Sense of Xi'an, Northwest University, Xi'an, Shaanxi 710127, China

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Figures & Tables(16)

Fig. 1. Framework of FMT rapid reconstruction based on autoencoder

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Fig. 2. Diagram of the non-homogeneous cylinder phantom. (a) Model of non-homogeneous cylinder phantom; (b) distribution of shot points at plane of z=15 mm

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Fig. 3. Result diagram of single-source reconstruction. (a)-(c) Stereogram of reconstruction results, the 2D cross-section views at planes of x=0 mm and z=15 mm with original data; (d)-(f) stereogram of reconstruction results, the 2D cross-section views at planes of x=0 mm and z=15 mm with AE method

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Fig. 4. T1 and T2 reconstruction results using AE method under different dimensionality. (a) Reconstruction results of T1; (b) reconstruction results of T2

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Fig. 5. Result diagram of double-sources reconstruction. (a)-(c) Stereogram of reconstruction results, the 2D cross-section views at planes of x=0 mm and z=15 mm with original data; (d)-(f) stereogram of reconstruction results, the 2D cross-section views at planes of x=0 mm and z=15 mm with AE method

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Fig. 6. Single source reconstruction results in digital mouse experiments using AE method under different dimensionality

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Fig. 7. Results of single source in digital mouse experiments. (a)-(c) Stereogram of reconstruction results, the 2D cross-section views at planes of x=11.9 mm and z=16.4 mm with original data; (d)-(f) stereogram of reconstruction results, the 2D cross-section views at planes of x=11.9 mm and z=16.4 mm with AE method

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Fig. 8. Reconstruction results of T1 and T2 when compressed to different dimensions using AE. (a) Reconstruction results of T1; (b) reconstruction results of T2

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Fig. 9. Results of double-sources in digital mouse experiments. (a)-(c) Stereogram of reconstruction results, the 2D cross-section views at planes of x=11.9 mm and z=16.4 mm with original data; (d)-(f) stereogram of reconstruction results, the 2D cross-section views at planes of x=11.9 mm and z=16.4 mm with AE method

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Table 1. Optical parameters for non-homogeneous cylinder phantom
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Table 1. Optical parameters for non-homogeneous cylinder phantom
Organ ${μ_{ax}}_{}$ /mm^-1 ${μ_{sx}}_{}$ /mm^-1 ${μ_{am}}_{}$ /mm^-1 ${μ_{sm}}_{}$ /mm^-1
Muscle 0.0052 10.80 0.0068 10.30
Heart 0.0083 6.73 0.0104 6.60
Lungs 0.0133 19.70 0.0203 19.50
Liver 0.0329 7.00 0.0176 6.60
Bone 0.0060 60.09 0.0030 30.74

Table 2. Reconstruction results of single source non-homogeneous cylinder phantom simulation experiments using AE method

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Table 2. Reconstruction results of single source non-homogeneous cylinder phantom simulation experiments using AE method

Method (dimensionality)	LE /mm	WCLE /mm	NRMSE /mm^-1	Time /s	Dice
IVTCG	0.73	0.2546	3.3640	7.68	0.5200
AE+IVTCG(50)	0.73	0.2438	0.0239	4.22	0.6667
AE+IVTCG(100)	0.73	0.1789	0.0186	3.98	0.6667
AE+IVTCG(150)	0.79	0.2621	0.0204	4.37	0.6000
AE+IVTCG(200)	0.79	0.4100	0.0280	4.48	0.5200
AE+IVTCG(300)	1.26	0.6047	0.0318	4.76	0.4444

Table 3. Quantitative simulation results of single source non-homogeneous cylinder using AE method under different number of excitation sources
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Table 3. Quantitative simulation results of single source non-homogeneous cylinder using AE method under different number of excitation sources
Number of excitation source LE /mm WCLE /mm NRMSE /mm^-1 Time /s Dice
36 0.73 0.1789 0.0186 3.98 0.6667
18 0.73 0.2094 0.0334 4.21 0.6667
9 0.73 0.5235 0.0236 4.85 0.6667
6 1.17 0.4118 0.0474 4.02 0.4700
3 1.26 1.2600 0.0534 4.17 0.4000

Table 4. Quantitative simulation results of single source non-homogeneous cylinder using AE method under different noise levels
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Table 4. Quantitative simulation results of single source non-homogeneous cylinder using AE method under different noise levels
Noise level /% LE /mm WCLE /mm NRMSE /mm^-1 Time /s Dice
5 0.73 0.6723 0.0152 4.09 0.6667
10 0.73 0.6879 0.0159 4.20 0.6667
15 0.73 0.1461 0.0192 4.33 0.6667
20 0.79 0.2033 0.0179 4.01 0.6000
25 1.26 0.7213 0.0164 4.80 0.4000

Table 5. Quantitative simulation results of double sources non-homogeneous cylinder phantom simulation experiments using AE method
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Table 5. Quantitative simulation results of double sources non-homogeneous cylinder phantom simulation experiments using AE method
Method Target LE /mm WCLE /mm NRMSE /mm^-1 Time /s Dice
IVTCG T1 0.6169 0.4915 0.3291 24.3438 0.2361
T2 1.3971 0.9369
AE+IVTCG T1 0.6169 0.4826 0.0491 10.5170 0.4444
T2 1.3286 0.4598

Table 6. Quantitative simulation results of single source in digital mouse experiments using AE method
View table
Table 6. Quantitative simulation results of single source in digital mouse experiments using AE method
Method LE /mm WCLE /mm NRMSE /mm^-1 Time /s Dice
IVTCG 0.40425 0.4268 0.2509 5.8112 0.4000
AE+IVTCG 0.40425 0.5635 0.0343 1.7308 0.5700

Table 7. Quantitative simulation results of double sources in digital mouse experiments using AE method
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Table 7. Quantitative simulation results of double sources in digital mouse experiments using AE method
Method Target LE /mm WCLE /mm NRMSE /mm^-1 Time /s Dice
IVTCG T1 0.6169 1.2876 0.2617 47.776 0.3333
T2 0.6833 0.9369
AE+IVTCG T1 0.6169 1.2876 0.0220 20.171 0.4000
T2 0.5169 0.4579

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Di Lu, Xiao Wei, Xin Cao, Xiaowei He, Yuqing Hou. Fast Reconstruction Method for Fluorescence Molecular Tomography Based on Autoencoder[J]. Acta Optica Sinica, 2019, 39(6): 0617001

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Paper Information

Category: Medical Optics and Biotechnology

Received: Nov. 17, 2018

Accepted: Mar. 4, 2019

Published Online: Jun. 17, 2019

The Author Email: Cao Xin (xin_cao@163.com), He Xiaowei (hexw@nwu.edu.cn)

DOI:10.3788/AOS201939.0617001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Optical parameters for non-homogeneous cylinder phantom

Table 1. Optical parameters for non-homogeneous cylinder phantom

Table 2. Reconstruction results of single source non-homogeneous cylinder phantom simulation experiments using AE method

Table 2. Reconstruction results of single source non-homogeneous cylinder phantom simulation experiments using AE method

Table 3. Quantitative simulation results of single source non-homogeneous cylinder using AE method under different number of excitation sources

Table 3. Quantitative simulation results of single source non-homogeneous cylinder using AE method under different number of excitation sources

Table 4. Quantitative simulation results of single source non-homogeneous cylinder using AE method under different noise levels

Table 4. Quantitative simulation results of single source non-homogeneous cylinder using AE method under different noise levels

Table 5. Quantitative simulation results of double sources non-homogeneous cylinder phantom simulation experiments using AE method

Table 5. Quantitative simulation results of double sources non-homogeneous cylinder phantom simulation experiments using AE method

Table 6. Quantitative simulation results of single source in digital mouse experiments using AE method

Table 6. Quantitative simulation results of single source in digital mouse experiments using AE method

Table 7. Quantitative simulation results of double sources in digital mouse experiments using AE method

Table 7. Quantitative simulation results of double sources in digital mouse experiments using AE method