基于快速迭代有限差分强度传输方程的相位恢复  

Phase Retrieval Using Transport of Intensity Equation with Fast Iterative Finite Difference

作　　者：张雅彬[1] 陈贤瑞 刘磊[1] 刘彬 钟志[1,2] 单明广[1,2] Zhang Yabin;Chen Xianrui;Liu Lei;Liu Bin;Zhong Zhi;Shan Mingguang(College of Information and Communication Engineering,Harbin Engineering University,Harbin,Heilongjiang 150001,China;Key Laboratory of Advanced Marine Communication and Information Technology,Ministry of Industry and Information Technology,Harbin Engineering University,Heilongjiang 150001,China)

机构地区：[1]哈尔滨工程大学信息与通信工程学院,黑龙江哈尔滨150001 [2]哈尔滨工程大学先进船舶通信与信息技术工业和信息化部重点实验室,黑龙江哈尔滨150001

出　　处：《光学学报》2021年第22期105-114,共10页Acta Optica Sinica

基　　金：国家自然科学基金(62175048);黑龙江省自然科学基金(LC2018027);中央高校基本科研业务费(3072021CFJ0801,3072021CF0803)。

摘　　要：强度传输方程(TIE)是用于非干涉相位恢复的重要手段之一。传统方法受限于输入图像的形状或收敛速度,进而限制了TIE的普遍性和相位恢复效率。因此,提出了一种基于快速迭代有限差分法(FIFDM)的TIE相位恢复方法。该方法在基于有限差分法(FDM)的TIE求解方法的基础上,考虑迭代过程中各点的相关性并引入松弛因子来实现相位恢复。仿真和实验结果表明,与离散余弦变换(DCT)法、FDM相比,所提方法具有更快的恢复速度、更高的准确性和更强的抗噪性能。Transport of intensity equation(TIE)is one of the important methods for non-interferometric phase retrieval.Traditional methods are restricted by the shape of the input image or the convergence speed,which limits the universality and phase recovery efficiency of TIE.Therefore,a TIE phase retrieval method based on fast iterative finite difference method(FIFDM)is proposed.On the basis of the TIE solution method based on the finite difference method(FDM),the correlation of each point in the iterative process is considered and the relaxation factor is introduced in FIFDM to realize the phase retrieval.Simulation and experimental results show that,compared with discrete cosine transform(DCT)method and FDM,the proposed method has faster recovery speed,higher accuracy and stronger anti-noise performance.

关 键 词：测量 相位恢复 强度传输方程 有限差分法 快速迭代 

分 类 号：O439[机械工程—光学工程]