张尹馨^{1, 2}，邓嘉俊^{1, 2}，费建阳^{1, 2}
AuthorsHTML:张尹馨^{1, 2}，邓嘉俊^{1, 2}，费建阳^{1, 2}
AuthorsListE:Zhang Yinxin^{1, 2}，Deng Jiajun^{1, 2}，Fei Jianyang^{1, 2}
AuthorsHTMLE:Zhang Yinxin^{1, 2}，Deng Jiajun^{1, 2}，Fei Jianyang^{1, 2}
Unit:1. 光电信息教育部重点实验室(天津大学)，天津300072；
2. 天津大学精密仪器与光电子工程学院，天津300072
Unit_EngLish:1. Key Laboratory of Opto-Electronics Information Technology of Ministry of Education(Tianjin University)， Tianjin 300072，China；
2. School of Precision Instruments and Opto-Electronics Engineering，Tianjin University， Tianjin 300072，China
Abstract_Chinese:结构光照明显微技术(SIM)是近年来快速发展的一种超分辨显微技术，其硬件结构不断推陈出新，然而并非所有SIM系统均能获得理想的结构光调制度，当调制度较低时，结构光空间频率和相位的准确测定变得困难．如果不能保证其测定精度，重建的超分辨图像会存在伪影甚至失真，成像质量无法保证．针对上述问题，研究了多种结构光的空间频率和相位测定算法，分析发现频谱分量互相关算法(SCC)在不同的调制度下更具适应性和准确性．文中进一步研究了SCC算法的特征和简化方法，通过对其迭代过程进行合并实现了空间频率和相位的同步精确测定．通过对多种算法进行仿真的结果表明，相比于其他的空间频率和相位测定算法，简化SCC算法在结构光各调制度条件下均能精确地测定结构光的空间频率和相位，计算误差更小．在实验上，使用自建的SIM系统对牛肺动脉内皮细胞(BPAE)进行成像，在结构光调制度为0.17时使用不同的空间频率和相位测定算法所计算的结果重建样本的超分辨图像．实验结果表明，由于简化SCC算法所计算出的空间频率和相位更加准确，其重建的图像能更清晰地还原样本原貌，有效地抑制了重建图像的伪影，图像分辨率得到明显提高．简化SCC算法能适应不同SIM系统对结构光空间频率和相位精确测定的需求，也能提高SIM系统的鲁棒性．
Abstract_English:Structured illumination microscopy(SIM)is a recently developed super-resolution technology whose hardware structure has been continually updated since it was first introduced. However，not all SIM systems have an ideal structured-light modulation depth. When the modulation depth is low，it is difficult to accurately determine the spatial frequency and phase of the structured light，which makes it difficult to obtain clear reconstructed images due to the presence of artifacts or distortion. To solve this problem，we studied several structured-light spatial-frequency-and-phase-determination algorithms and found the spectral-component cross-correlation(SCC)algorithm to be more adaptive and accurate at different modulation depths. Next，we investigated its characteristics and considered methods for simplifying the SCC algorithm. We simplified the SCC algorithm by combining its iterative processes to accurately and simultaneously determine the spatial frequency and phase. The simulation results show that，compared with other spatial-frequency-and-phase-determination algorithms，the simplified SCC algorithm can determine the spatial frequency and phase at various modulation depths. In experiments，we used a self-built SIM system to image bovine pulmonary artery endothelial cells，and reconstructed sample images using different spatial-frequency-and-phase-determination algorithms at a structured-light modulation depth of 0.17. The experimental results showed that the spatial frequency and phase calculated by the simplified SCC algorithm were more accurate，its reconstructed image was more consistent with the original appearance of the sample，and the image resolution was significantly improved by the successful suppression of artifacts. The simplified SCC algorithm can precisely determine the spatial frequency and phase in different SIM systems，thereby improving the robustness of SIM systems.
Keyword_Chinese:超分辨显微镜；结构照明；数字图像处理
Keywords_English:super-resolution microscopy；structured illumination；digital image processing

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