基于压缩感知的三维单分子定位显微成像方法研究

张赛文; 林丹樱; 于斌; 冷潇泠; 张光富; 田野; 谭伟石

doi:10.37188/CO.2020-0003

Volume 13 Issue 5

Sep. 2020

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Chinese Optics > 2020 > 13(5): 1065-1074.

ZHANG Sai-wen, LIN Dan-ying, YU Bin, LENG Xiao-ling, ZHANG Guang-fu, TIAN Ye, TAN Wei-shi. Three-dimensional single-molecule localization microscopy imaging based on compressed sensing[J]. Chinese Optics, 2020, 13(5): 1065-1074. doi: 10.37188/CO.2020-0003

Citation:

ZHANG Sai-wen, LIN Dan-ying, YU Bin, LENG Xiao-ling, ZHANG Guang-fu, TIAN Ye, TAN Wei-shi. Three-dimensional single-molecule localization microscopy imaging based on compressed sensing[J]. Chinese Optics, 2020, 13(5): 1065-1074. doi: 10.37188/CO.2020-0003

Citation:

ZHANG Sai-wen, LIN Dan-ying, YU Bin, LENG Xiao-ling, ZHANG Guang-fu, TIAN Ye, TAN Wei-shi. Three-dimensional single-molecule localization microscopy imaging based on compressed sensing[J]. Chinese Optics, 2020, 13(5): 1065-1074. doi: 10.37188/CO.2020-0003

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Three-dimensional single-molecule localization microscopy imaging based on compressed sensing

doi: 10.37188/CO.2020-0003

ZHANG Sai-wen^{1, 2
,},
LIN Dan-ying³,
YU Bin^{3
,
,},
LENG Xiao-ling^{1, 2},
ZHANG Guang-fu^{1, 2},
TIAN Ye^{1, 2},
TAN Wei-shi^{1, 2}

1.
School of Information and Electronics Engineering, Hunan City University, Yiyang 413000, China
2.
All-solid-state Energy Storage Materials and Devices Key Laboratory of Hunan Province, Hunan City University, Yiyang 413000, China
3.
Key Laboratory of Optoelectronic Devices and Systems of Ministry and Education and Guangdong Province, College of Physics and Optoelectronics Engineering, Shenzhen University, Shenzhen 518060, China

Funds: Supported by National Natural Science Foundation of China (No. 11947088, No. 11604091, No. 11547186, No. 61775144, No. 61975131); Natural Science Foundation of Hunan Province (No. 2019jj50025, No. 2018JJ2019); Scientific Research Fund of Hunan Provincial Education Department (No. 19B100, No. 19B098)

More Information

Corresponding author: yubin@szu.edu.cn
Received Date: 08 Jan 2020
Rev Recd Date: 22 Feb 2020

Available Online: 02 Sep 2020

Publish Date: 05 Oct 2020

Abstract

Abstract

In order to achieve fast three-dimensional localization of high-density fluorescent molecular images, a three-dimensional compressed sensing model was established and studied using the CVX method, the Orthogonal Matching Pursuit(OMP) algorithm and a homotopy algorithm. The models’ measurement matrix was then designed. Firstly, the system’s theory and design were both developed using the three-dimensional point-spread function imaging theory of fluorescence microscopy. Then, the process of fluorescence microscopic imaging was simulated, through which the images generated in the established compressed sensing model were analyzed using the CVX method, OMP algorithm and homotopy algorithm. The recall rate, localization accuracy and reconstruction time were compared. Finally, the simulated biological samples and the collected cells in the laboratory were analyzed using the homotopy algorithm, and thus three-dimensional super-resolution imaging was achieved. It can be seen from the comparative results that the homotopy algorithm is two orders of magnitude faster than the CVX method when the reconstruction density and localization accuracy have little deviation. The localization accuracy of the homotopy algorithm is twice higher than that of the OMP algorithm. The homotopy algorithm is meaningful for 3D super-resolution fluorescence microscopy imaging, which can save computing time and achieve real-time imaging.
- compressed sensing,
- single molecule localization,
- image reconstruction,
- homotopy algorithm

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References(27)

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