Inverse matrix based phase estimation algorithm for structured illumination microscopy
Inverse matrix based phase estimation algorithm for structured illumination microscopy
复制标题
用于结构照明显微镜的基于逆矩阵的相位估计算法
DOI：
10.1364/boe.9.005037
复制
发表时间：
2018-10-01
影响因子：
3.4
通讯作者：
Liu, Xu
中科院分区：
文献类型：
--
作者：
Cao, Ruizhi;Chen, Youhua;Liu, Xu
结构照明显微镜（structural illumination microscopy， SIM）具有成像速度快、成像强度低的特点，是活细胞成像中应用最广泛的成像工具之一。为了获得高保真度的重建图像，需要精确估计照明模式的相位，特别是在那些依赖高次谐波来提高分辨率的结构化照明技术中。这可以通过两种基本方法之一来实现。首先是建立一个能够高精度移动正弦模式的高端控制系统，而第二是应用估计算法来确定模式在后处理过程中如何移动。后一种方法在低成本的超分辨率成像系统中是首选的；然而，现有的算法要么耗时，要么由于噪声和低调制深度而失败。本文在相位估计算法中引入附加矩阵，提出了一种基于逆矩阵的相位估计方法，该方法无需迭代即可确定相位的解析解。利用自制的全内反射荧光SIM系统（TIRF-SIM）进行了仿真和实验验证。经测试，该方法在调制深度较低的情况下也能得到真实相位。源代码现在可供研究人员和其他人下载。(C) 2018年美国光学学会根据OSA开放获取出版协议的条款
The fast imaging speed and low-intensity requirement of structured illumination microscopy (SIM) have made it one of the most widely used imaging tools in live cell imaging. In order to obtain a high fidelity reconstructed image, a precise estimation of the phase of the illumination pattern is required, especially in those structured illumination based techniques that rely on high-order harmonics to improve the resolution. This can be achieved in one of two fundamental ways. The first is to build a high-end control system capable of shifting a sinusoidal pattern with high precision, while the second is to apply estimation algorithms to determine how patterns shift during post-processing. The latter method is preferred in low-cost super-resolution imaging systems; however, existing algorithms are either time-consuming or fail due to noise and a low modulation depth. In this paper, we introduce additional matrixes into the phase estimation algorithm and propose an inverse matrix based phase estimation method with which analytical solutions of the phases can be determined without iteration. The proposed algorithm was validated via simulation and experiments using a home-made total internal reflection fluorescent SIM system (TIRF-SIM). When tested, the method obtained the true phase even when the modulation depth was low. The source code is now available for download by researchers and others. (C) 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement