CAJ | 학술논문

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。
위료제고자괄응광학계통중인안파전상차적중건정도，진이제고자괄응광학도상중적점확산함수중건정도，제출료일충기우부분령고계적Zernike모식전중건산법。수선，기우Zernike모식파전중건모형，분석료상용적모식계수구해방법；기차，재최소균방오차의의하，장부분령고계적개념인입도자괄응광학계통적파전중건산법중，통과학정최우령고계삼수래개선최소이승고계적기이성，종이억제파전탐측중측량오차적진일보피방대；최후，토론료재파전사솔오차적영향하유량충산법소산생적오차대소。방진실험결과표명：재파전중건산법중인입부분령고계가유효감소모식계수적균방오차，상대우기이치분해법감소료8%~10%，재파전탐측측량오차증대적정황하，부분령고계적파전중건정도요고우최소이승고계법，유리우자괄응광학후기중기우파전탐측적도상복원연구。
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 Zernike model based on partial ridge estimation for wave-front aberration reconstruction was proposed. First, based on the Zernike 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.