期刊论文

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

Yu, Bin(yubin@szu.edu.cn)

中文

中国光学

2095-1531

2020

13

5

1065-1074

10.37188/CO.2020-0003

基金项目：国家自然科学基金资助项目（No. 11947088，No. 11604091，No. 11547186，No. 61775144，No. 61975131）； 湖南省自然科学基金项目（No. 2019jj50025，No. 2018JJ2019）；湖南省教育厅科学研究项目优秀青年项目 （No. 19B100，No. 19B098） 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)

本校为第一机构

本文建立了一种三维压缩感知模型以实现对高密度荧光分子图像的快速三维定位。首先，根据荧光显微的三维点扩展函数成像理论，设计测量矩阵，并建立压缩感知模型。接着，对荧光显微成像过程进行了模拟，并采用凸优化方法（CVX）、正交匹配追踪（Orthogonal Matching Pursuit，OMP）算法和同伦算法对建立的压缩感知模型中模拟生成的图像进行了定位分析，分别从恢复率、定位精度、重构时间几方面进行了对比。最后，采用同伦算法对模拟的生物样品和实验室采集的细胞进行了三维定位，并获得了三维超分辨图像。对比结果表明：在重构密度和定位精度接近的情况下，同伦算法比CVX方法的重构速度快2个数量...

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 ...