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基于最优主成分分析的数字全息数值相位像差补偿方法

Optimal principal component analysis-based numerical phase aberration compensation method for digital holography.

作者信息

Sun Jiasong, Chen Qian, Zhang Yuzhen, Zuo Chao

出版信息

Opt Lett. 2016 Mar 15;41(6):1293-6. doi: 10.1364/OL.41.001293.

DOI:10.1364/OL.41.001293
PMID:26977692
Abstract

In this Letter, an accurate and highly efficient numerical phase aberration compensation method is proposed for digital holographic microscopy. Considering that most parts of the phase aberration resides in the low spatial frequency domain, a Fourier-domain mask is introduced to extract the aberrated frequency components, while rejecting components that are unrelated to the phase aberration estimation. Principal component analysis (PCA) is then performed only on the reduced-sized spectrum, and the aberration terms can be extracted from the first principal component obtained. Finally, by oversampling the reduced-sized aberration terms, the precise phase aberration map is obtained and thus can be compensated by multiplying with its conjugation. Because the phase aberration is estimated from the limited but more relevant raw data, the compensation precision is improved and meanwhile the computation time can be significantly reduced. Experimental results demonstrate that our proposed technique could achieve both high compensating accuracy and robustness compared with other developed compensation methods.

摘要

在这封信中,针对数字全息显微镜提出了一种精确且高效的数值相位像差补偿方法。考虑到相位像差的大部分位于低空间频率域,引入了傅里叶域掩模来提取像差频率分量,同时舍弃与相位像差估计无关的分量。然后仅对尺寸减小后的频谱进行主成分分析(PCA),并从获得的第一主成分中提取像差项。最后,通过对尺寸减小后的像差项进行过采样,获得精确的相位像差图,从而可以通过乘以其共轭来进行补偿。由于从有限但更相关的原始数据中估计相位像差,提高了补偿精度,同时可以显著减少计算时间。实验结果表明,与其他已开发的补偿方法相比,我们提出的技术能够实现高补偿精度和鲁棒性。

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Optimal principal component analysis-based numerical phase aberration compensation method for digital holography.基于最优主成分分析的数字全息数值相位像差补偿方法
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引用本文的文献

1
Aberration-free digital holographic phase imaging using the derivative-based principal component analysis.基于导数主成分分析的无像差数字全息相位成像。
J Biomed Opt. 2021 Apr;26(4). doi: 10.1117/1.JBO.26.4.046501.