基于部分岭估计的Zernike模式法人眼波前像差重建  

The Model of Zernike Based on Partial Ridge Estimation for Wave-front Aberration Reconstruction of Human Eye

作　　者：曾明[1] 沈建新[1] 梁春[1] 钮赛赛 

机构地区：[1]南京航空航天大学机电学院,南京210016 [2]上海航天控制技术研究所,上海200233

出　　处：《光电工程》2013年第7期9-15,共7页Opto-Electronic Engineering

基　　金：国家863高技术研究发展计划资助项目(2006AA020804);2012江苏省产学研联合创新基金前瞻性联合研究项目(BY2012009)资助课题;2012年江苏省自然科学基金(BK2012380)资助课题

摘　　要：为了提高自适应光学系统中人眼波前像差的重建精度,进而提高自适应光学图像中的点扩散函数重建精度,提出了一种基于部分岭估计的Zernike模式前重建算法。首先,基于Zernike模式波前重建模型,分析了常用的模式系数求解方法;其次,在最小均方误差意义下,将部分岭估计的概念引入到自适应光学系统的波前重建算法中,通过确定最优岭估计参数来改善最小二乘估计的奇异性,从而抑制波前探测中测量误差的进一步被放大;最后,讨论了在波前斜率误差的影响下由两种算法所产生的误差大小。仿真实验结果表明：在波前重建算法中引入部分岭估计可有效减小模式系数的均方误差,相对于奇异值分解法减小了8%~10%,在波前探测测量误差增大的情况下,部分岭估计的波前重建精度要高于最小二乘估计法,有利于自适应光学后期中基于波前探测的图像复原研究。In order to improve the wave-front aberration reconstruction accuracy of human eye in adaptive optics system, as well as the accuracy of point spread function, an algorithm of Zemike model based on partial ridge estimation for wave-front aberration reconstruction was proposed. First, based on the Zemike model, the algorithm partial ridge estimation was bought into wave-front aberration reconstruction. Second, in the sense of mean squared errors, the parameter of ridge estimation was ensured to improve the singularity of least square and restrain the enlarger of wave-front measure error. Finally, the error produced by two different kinds of algorithm was discussed with the influence of wave-front slope error. The results show that the partial ridge estimation can decrease the mean squared errors of the modal coefficient effectively. Compared with the singular value decomposition, the mean squared error is reduced by 8%-10%. With the increasing of wave-front measurement error, the accuracy of the partial ridge estimation is much better than the least square estimate, which is useful for studying the image restoration based on wave-front detection in the late of adaptive optics.

关 键 词：自适应光学 波前像差重建 部分岭估计 最小二乘估计 

分 类 号：TP391[自动化与计算机技术—计算机应用技术] TN249[自动化与计算机技术—计算机科学与技术]