基于配准递进补偿的相位恢复  

Phase Retrieval Based on Registration Progressive Compensation Algorithm

作　　者：程鸿 熊帮玲 王金成 马慧敏 韦穗 CHENG Hong;XIONG Bang-ling;WANG Jin-cheng;MA Hui-min;WEI Sui(Education Ministry Key Laboratory of Intelligent Computing & Signal Processing,School of Electronics andInformation Engineering,Anhui University,Hefei 230039,China)

机构地区：[1]安徽大学电子信息工程学院计算智能与信号处理教育部重点实验室,合肥230039

出　　处：《光子学报》2019年第4期195-203,共9页Acta Photonica Sinica

基　　金：国家自然科学基金(Nos.61301296;61377006;61501001;61605002);安徽省自然科学基金(No.1608085QF161);安徽省高等学校自然科学研究项目(Nos.KJ2016A029;KJ2015A114);安徽大学计算智能与信号处理重点实验室开放课题~~

摘　　要：针对光强传输方程法在部分相干光场相位恢复过程中,由于CCD采集频率与LED发光频率不同步导致恢复的相位出现黑白相间的条纹,以及机械移动造成采集角度的偏差所导致的相位结果错误等问题,提出了配准递进补偿算法.首先,对所采集的具有一定角度偏差的三幅强度图进行角点检测和互相关匹配,并去除错误点对从而得到变换矩阵进行图像变换以纠正原有的偏差.同时,由于照明光波的缓慢动态变化与其低频分量相关,在新的配准图像中进行初次补偿以改善照明频闪效应.然后使用光强传输方程求解得到样品的初始相位.为了解决初始相位边缘出现的光晕,再次对恢复的相位进行补偿以突出样品的关键信息.搭建了真实光路系统进行实验验证,结果表明所提方法在纠正角度偏差的同时改善了频闪效应.微透镜阵列实验中,恢复的结果与实际结果相对误差为1.7%,证明了所提算法的正确性与有效性.In the phase retrieval process of partially coherent illumination for the transport of intensity equation method,since the CCD acquisition frequency is not synchronized with the LED emission frequency,which case the black and white stripes appearing in the phase retrieval result,as well as the phase result error caused by the acquisition angle deviation due to the mechanical movement and other issues,a registration progressive compensation algorithm is proposed.Firstly,the corner detection and cross-correlation matching are performed on the three intensity images with a certain angular deviation,and the error point pairs are removed to get the transformation matrix in order to correct the original deviation.At the same time,since the slow dynamic change of the illumination light wave is related to its low frequency component,initial compensation is performed in the new registration image to improve the illumination stroboscopic effect.Then,the initial phase of the sample is solved by using Transport of Intensity Equation.In order to resolve the halo that occurs at the initial phase edge,the phase is compensated for the highlighting of the vital sample information again.The real optical path system is built for experimental verification in this paper,and the results show that the proposed method improves the stroboscopic effect while correcting the angle deviation.In the experiment of microlens array,the relative error between the restored result and the actual result is1.7%,which fully proves the correctness and effectiveness of the proposed algorithm.

关 键 词：光强传输方程 部分相干光场 相位恢复 递进补偿 配准 

分 类 号：O436[机械工程—光学工程]