Open AccessNoise stochastic corrected maximum a posteriori estimator for birefringence imaging using polarization-sensitive optical coherence tomography
Author(s) -
Deepa Kasaragod,
Shuichi Makita,
Young-Joo Hong,
Yoshiaki Yasuno
Publication year - 2017
Publication title -
biomedical optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.362
H-Index - 86
ISSN - 2156-7085
DOI - 10.1364/boe.8.000653
Subject(s) - optical coherence tomography , estimator , birefringence , maximum a posteriori estimation , mathematics , kernel density estimation , optics , algorithm , computer science , physics , statistics , maximum likelihood
This paper presents a noise-stochastic corrected maximum a posteriori estimator for birefringence imaging using Jones matrix optical coherence tomography. The estimator described in this paper is based on the relationship between probability distribution functions of the measured birefringence and the effective signal to noise ratio (ESNR) as well as the true birefringence and the true ESNR. The Monte Carlo method is used to numerically describe this relationship and adaptive 2D kernel density estimation provides the likelihood for a posteriori estimation of the true birefringence. Improved estimation is shown for the new estimator with stochastic model of ESNR in comparison to the old estimator, both based on the Jones matrix noise model. A comparison with the mean estimator is also done. Numerical simulation validates the superiority of the new estimator. The superior performance of the new estimator was also shown by in vivo measurement of optic nerve head.