Sparse photoacoustic microscopy based on low-rank matrix approximation

Ting Liu; Mingjian Sun; Naizhang Feng; Minghua Wang; Deying Chen; Yi Shen

doi:10.3788/COL201614.091701

Journals >Chinese Optics Letters >Volume 14 >Issue 9 >Page 091701 > Article

Chinese Optics Letters
Vol. 14, Issue 9, 091701 (2016)

Sparse photoacoustic microscopy based on low-rank matrix approximation

Ting Liu, Mingjian Sun^*, Naizhang Feng, Minghua Wang..., Deying Chen and Yi Shen|Show fewer author(s)

Author Affiliations

Department of Control Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

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DOI: 10.3788/COL201614.091701 Cite this Article Set citation alerts

Ting Liu, Mingjian Sun, Naizhang Feng, Minghua Wang, Deying Chen, Yi Shen, "Sparse photoacoustic microscopy based on low-rank matrix approximation," Chin. Opt. Lett. 14, 091701 (2016) Copy Citation Text

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Fig. 1. Schematic of the data acquisition process of the proposed system.

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Fig. 2. Low-rank property analysis. (a)–(d) PAM images with tumor and blood vessels. (e)–(h) Singular values of PAM image (a)–(d).

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Fig. 3. Parameter selection. (a) The relationship with r and n. (b) The relationship with k, r, and n.

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Fig. 4. Recovery results in the simulated experiment. (a) Full sampling image. (b) Singular values of PAM image matrix. (c) Random sampling image. (d) Recovered image by optspace algorithm. (e) Recovered image by GoDec algorithm.

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Fig. 5. Results of real PAM system. (a) Full sampling image. (b) Random sampling image. (c) Recovered image by optspace algorithm. (d) Recovered image by GoDec algorithm.

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$k = 0.5 * n^{2} = 9522$	$r$	10	15	20	25	30	35	40	50	60	70
$k = 0.5 * n^{2} = 9522$	SSIM	0.8674	0.9274	0.9386	0.9492	0.9471	0.9179	0.8415	0.7051	0.5792	0.5472
$r = 26$	$k$	$0.1 * n^{2}$	$0.2 * n^{2}$	$0.3 * n^{2}$	$0.4 * n^{2}$	$0.5 * n^{2}$	$0.6 * n^{2}$	$0.7 * n^{2}$	$0.8 * n^{2}$	$0.9 * n^{2}$	$1.0 * n^{2}$
$r = 26$	SSIM	0.1000	0.4713	0.7152	0.8693	0.9399	0.9638	0.9718	0.9741	0.9785	0.9849

Table 1. Numerical Results with Different r and k

Ting Liu, Mingjian Sun, Naizhang Feng, Minghua Wang, Deying Chen, Yi Shen, "Sparse photoacoustic microscopy based on low-rank matrix approximation," Chin. Opt. Lett. 14, 091701 (2016)

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