Low-Rank-Matrix-Completion-Based Method for Suppressing Background Fluorescence

Xiaodong Wang; Guohua Geng; Huangjian Yi; Xuelei He; Xiaowei He

doi:10.3788/AOS201838.1017003

Journals >Acta Optica Sinica >Volume 38 >Issue 10 >Page 1017003 > Article

Acta Optica Sinica
Vol. 38, Issue 10, 1017003 (2018)

Low-Rank-Matrix-Completion-Based Method for Suppressing Background Fluorescence

Xiaodong Wang^**, Guohua Geng^*, Huangjian Yi, Xuelei He, and Xiaowei He

Author Affiliations

School of Information and Technology, Northwest University, Xi'an, Shaanxi 710027, China

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DOI: 10.3788/AOS201838.1017003 Cite this Article Set citation alerts

Xiaodong Wang, Guohua Geng, Huangjian Yi, Xuelei He, Xiaowei He. Low-Rank-Matrix-Completion-Based Method for Suppressing Background Fluorescence[J]. Acta Optica Sinica, 2018, 38(10): 1017003 Copy Citation Text

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Fig. 1. 2D simulation model

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Fig. 2. Sketch of FOV

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Fig. 3. Flow chart of algorithm 1

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Fig. 4. Reconstruction using two methods at noise level of 0.06/50 in single light source experiment. (a) 2D reconstruction using IVTCG-NO method; (b) 2D reconstruction using IVTCG-LR method; (c) 3D reconstruction using IVTCG-NO method; (d) 3D reconstruction using IVTCG-LR method

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Fig. 5. Reconstruction using two methods at noise level of 0.06/50 in double light sources. (a) 2D reconstruction using IVTCG-NO method; (b) 2D reconstruction using IVTCG-LR method; (c) 3D reconstruction using IVTCG-NO method; (d) 3D reconstruction using IVTCG-LR method

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Organ	$\begin{matrix} {μ_{ax}}_{} \end{matrix}$ /mm^-¹	μ' $\begin{matrix} {_{sx}}_{} \end{matrix}$ /mm^-¹	$\begin{matrix} {μ_{am}}_{} \end{matrix}$ /mm^-¹	μ' $\begin{matrix} {_{sm}}_{} \end{matrix}$ /mm^-¹	g
Muscle	0.075	0.412	0.043	0.350	0.90
Heart	0.051	0.944	0.030	0.870	0.85
Stomach	0.010	1.417	0.007	1.340	0.92
Liver	0.304	0.668	0.176	0.629	0.90
Kidneys	0.058	2.204	0.034	2.021	0.86
Lungs	0.170	2.157	0.097	2.093	0.90

Table 1. Optical parameters of the organs of digital mouse

Method	NL	(τ,ε)	LE /mm	CNR	Time /s
IVTCG-LR	0.06/50	(10^-12,10^-12)	0.4679±9.2×10^-3	20.5455±1.8	71.0230±4.4
IVTCG-NO	0.06/50	(10^-14,10^-12)	0.7528±0	13.7432±0	74.3608±3.2
IVTCG-LR	0.06/60	(10^-12,10^-12)	0.4409±8.7×10^-3	25.2068±2.0	62.6312±4.3
IVTCG-NO	0.06/60	(10^-14,10^-12)	0.7420±0	14.2688±0	69.7136±1.3
IVTCG-LR	0.06/70	(10^-12,10^-12)	0.4154±1.1×10^-2	27.9832±3.3×10^-1	61.4392±7.0
IVTCG-NO	0.06/70	(10^-14,10^-12)	0.7313±0	14.8315±0	68.2468±0.6
IVTCG-LR	0.06/80	(10^-12,10^-12)	0.3928±3.9×10^-3	28.8322±4.0×10^-1	52.3152±3.5
IVTCG-NO	0.06/80	(10^-14,10^-12)	0.7134±0	16.1134±0	68.2628±1.9
IVTCG-LR	0.06/90	(10^-12,10^-13)	0.3810±4.4×10^-4	17.4285±1.2×10^-2	51.3362±4.8
IVTCG-NO	0.06/90	(10^-14,10^-12)	0.7031±0	16.1723±0	67.9030±1.5
IVTCG-LR	0.06/100	(10^-12,10^-13)	0.3591±3.9×10^-4	18.3511±5.9×10^-3	45.3048±1.9
IVTCG-NO	0.06/100	(10^-14,10^-12)	0.6915±0	16.4278±0	66.2242±0.5

Table 2. Reconstruction using two methods at different noise levels

NL	0.06/50	0.06/60	0.06/70	0.06/80	0.06/90	0.06/100
Time /s	0.0052	0.0052	0.0058	0.0062	0.0056	0.0054
e_LR	1.0172	0.8858	0.7965	0.7331	0.6863	0.6508
e_NO	1.4944	1.2453	1.0674	0.9340	0.8302	0.7472

Table 3. Running time of OR1MP algorithm and relative errors of the boundary observation vectors before and after denoising operation

Method	NL	(τ,ε)	LE /mm	CNR	Time /s
IVTCG-LR	0.06/50	(10^-14,10^-13)	0.8234±1.9×10^-3	18.8590±6.1×10^-2	148.0212±4.4
IVTCG-NO	0.06/50	(10^-16,10^-12)	2.7076±0	13.5230±0	43.6608±1.4
IVTCG-LR	0.06/60	(10^-14,10^-13)	0.8443±8.6×10^-4	18.6281±4.6×10^-2	146.4514±3.2
IVTCG-NO	0.06/60	(10^-15,10^-12)	2.7227±0	13.2980±0	48.4676±2.2
IVTCG-LR	0.06/70	(10^-14,10^-13)	0.8650±2.4×10^-3	18.2852±6.9×10^-2	146.5268±2.1
IVTCG-NO	0.06/70	(10^-15,10^-12)	2.7368±0	13.2485±0	47.4714±1.1
IVTCG-LR	0.06/80	(10^-14,10^-13)	0.8837±1.8×10^-3	18.1829±9.2×10^-2	151.7274±1.3
IVTCG-NO	0.06/80	(10^-16,10^-12)	2.7259±0	13.3588±0	51.4532±1.3
IVTCG-LR	0.06/90	(10^-14,10^-13)	0.9003±3.1×10^-3	17.8455±1.9×10^-1	147.2034±3.8
IVTCG-NO	0.06/90	(10^-16,10^-12)	2.7150±0	13.5971±0	50.9520±0.3
IVTCG-LR	0.06/100	(10^-15,10^-12)	0.9110±2.8×10^-3	18.6627±1.6×10^-1	70.1896±11
IVTCG-NO	0.06/100	(10^-17,10^-12)	2.7343±0	13.1110±0	48.5222±7.2

Table 4. Reconstruction using two methods at different noise levels

NL	0.06/50	0.06/60	0.06/70	0.06/80	0.06/90	0.06/100
IVTCG-LR(LE1)	0.4862±1.0×10^-3	0.5057±8.1×10^-4	0.5247±1.0×10^-3	0.5423±9.4×10^-4	0.5579±2.4×10^-3	0.5787±3.1×10^-3
IVTCG-LR(LE2)	0.3372±1.5×10^-3	0.3386±8.4×10^-4	0.3403±1.5×10^-3	0.3414±9.2×10^-4	0.3424±9.9×10^-4	0.3224±2.1×10^-3
IVTCG-NO(LE1)	1.8779±0	1.8957±0	1.9109±0	1.8988±0	1.8767±0	1.9088±0
IVTCG-NO(LE2)	0.8297±0	0.8270±0	0.8259±0	0.8271±0	0.8383±0	0.8255±0

Table 5. LE of light source 1 and light source 2 mm

NL	0.06/50	0.06/60	0.06/70	0.06/80	0.06/90	0.06/100
Time /s	0.0046	0.0056	0.0050	0.0046	0.0054	0.0056
e_LR	1.3504	1.1595	1.0280	0.9332	0.8625	0.8082
e_NO	2.0465	1.7054	1.4618	1.2790	1.1369	1.0232

Table 6. Running time of OR1MP algorithm and relative errors of the boundary observation vectors before and after denoising operation

Xiaodong Wang, Guohua Geng, Huangjian Yi, Xuelei He, Xiaowei He. Low-Rank-Matrix-Completion-Based Method for Suppressing Background Fluorescence[J]. Acta Optica Sinica, 2018, 38(10): 1017003

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