Bayesian maximum likelihood estimator of phase retardation for quantitative polarization-sensitive optical coherence tomography
Bayesian maximum likelihood estimator of phase retardation for quantitative polarization-sensitive optical coherence tomography
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DOI：
10.1364/oe.22.016472
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发表时间：
2014-06-30
期刊：
影响因子：
3.8
通讯作者：
Yasuno, Yoshiaki
中科院分区：
文献类型：
--
作者：
Kasaragod, Deepa;Makita, Shuichi;Yasuno, Yoshiaki
本文提出了基于琼斯矩阵的偏振敏感光学相干层析成像测量局部相位延迟（即双折射）的最大似然估计的理论和数值实现。先前的研究表明，在存在系统噪声的情况下，传统的相位延迟和双折射平均估计存在明显的偏差。我们的估计器设计基于贝叶斯规则，该规则将特定真双折射下的测量双折射分布与特定测量双折射下的真双折射分布联系起来。我们使用蒙特卡罗方法来计算描述分布之间关系的似然函数，并在数值上实现估计器。我们的数值和实验结果表明，即使在低信噪比和/或接近测量范围边缘的真实相位延迟时，所提出的估计器也是渐近无偏的。该估计器应用于人体内前眼时显示出详细的临床特征。(C) 2014年美国光学学会
This paper presents the theory and numerical implementation of a maximum likelihood estimator for local phase retardation (i.e., birefringence) measured using Jones-matrix-based polarization sensitive optical coherence tomography. Previous studies have shown conventional mean estimations of phase retardation and birefringence are significantly biased in the presence of system noise. Our estimator design is based on a Bayes' rule that relates the distributions of the measured birefringence under a particular true birefringence and the true birefringence under a particular measured birefringence. We used a Monte-Carlo method to calculate the likelihood function that describes the relationship between the distributions and numerically implement the estimator. Our numerical and experimental results show that the proposed estimator was asymptotically unbiased even with low signal-to-noise ratio and/or for the true phase retardations close to the edge of the measurement range. The estimator revealed detailed clinical features when applied to the in vivo anterior human eye. (C) 2014 Optical Society of America