加权切趾传递函数约束的傅里叶叠层显微成像  

Fourier Ptychographic Microscopy Based on a Weighted Apodized Transfer Function Constraint

作　　者：张芬[1] 周业倩 尤栖冲 程鸿[1] Zhang Fen;Zhou Yeqian;You Xichong;Cheng Hong(National Engineering Research Center for Agro-Ecological Big Data Analysis&Application,Anhui University,Hefei,Anhui 230601,China)

机构地区：[1]安徽大学农业生态大数据分析与应用技术国家地方联合工程研究中心,安徽合肥230601

出　　处：《光学学报》2021年第4期87-96,共10页Acta Optica Sinica

基　　金：国家自然科学基金(61972002);安徽省自然科学基金面上项目(2008085MF209);安徽省教育厅重大项目(KJ2019ZD04);安徽大学博士科研启动经费(J01001959)。

摘　　要：傅里叶叠层显微成像技术(FPM)是一种新型显微成像技术,该方法巧妙地结合了相位恢复算法和合成孔径的理念,解决了大视场与高分辨率难以兼备的问题。在传统计算中,往往将FPM成像过程近似为相干成像,即将LED视为点光源,进而相干传递函数作为最优解的频谱支持域约束。但是,严格来说,LED是扩展的非相干光源,因此这种不恰当的近似会降低重构图像质量。为此,通过探究FPM系统的相干性,提出了一种新的传递函数——基于贝塞尔函数加权的切趾相干(B-AC)传递函数作为支持域约束的方法,实验结果证明,B-AC约束更适配于FPM成像系统,可以明显减少相干传递函数约束时产生的振铃效应,使得重构图像质量和鲁棒性优于相干传递函数和切趾相干传递函数约束。Fourier ptychographic microscopy(FPM),a new microscopic imaging technology,skillfully combines the concepts of phase recovery algorithm and synthetic aperture,solving the problem of difficult combination of a large field of view with high resolution.In traditional calculations,the FPM process is often approximated as coherent imaging.Specifically,LED is regarded as a point light source and the coherent transfer function as the constraint of spectrum support domain for the optimal solution.However,strictly,LED is an extended incoherent light source,so this improper approximation will degrade the reconstructed image quality.For this reason,a new transfer function,apodized coherent transfer function weighted by the Bessel function(B-AC),is proposed as a support domain constraint in this paper.Experimental results show that the B-AC constraint is more suitable for the FPM imaging system and obviously reduces the ringing effect caused by the constraint of the coherent transfer function.Furthermore,the reconstructed image quality and robustness are better than those under the constraints of coherent transfer function and apodized coherent transfer function.

关 键 词：成像系统 相位恢复 傅里叶叠层显微成像 相干传递函数 相干成像 部分相干成像 

分 类 号：O438[机械工程—光学工程]