Chinese Optics, Volume. 17, Issue 4, 842(2024)

Phase gradient estimation using Bayesian neural network

Kang-yang ZHANG1, Zi-hao NI1, Bo DONG1,2, and Yu-lei BAI1,2、*
Author Affiliations
  • 1School of Automation, Guangdong University of Technology, Guangzhou 510006, China
  • 2Key Laboratory of Intelligent Detection and The Internet of Things in Manufacturing(GDUT), Ministry of Education, Guangzhou 510006, China
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    Strain reconstruction is a vital component in the characterization of mechanical properties of phase-contrast optical coherence tomography (PC-OCT). It requires an accurate calculation for gradient distributions on the differential wrapped phase map. In order to address the challenge of low signal-to-noise ratio (SNR) in phase gradient calculation under severe noise interference, a Bayesian-neural-network-based phase gradient calculation is presented. Initially, wrapped phase maps with varying levels of speckle noise and their corresponding ideal phase gradient distributions are generated through a computer simulation. These wrapped phase maps and phase gradient distributions serve as the training datasets. Subsequently, the network learns the “end-to-end” relationship between the wrapped phase maps and phase gradient distributions in a noisy environment by utilizing a Bayesian inference theory. Finally, the wrapped phase measured by PC-OCT is processed by Bayesian neural network (BNN), and the high-quality distribution of phase gradients is accurately predicted by inputting the measured wrapped phase-difference maps into the network. Additionally, the statistical process introduced by BNN allows for the utilization of model uncertainty in the quantitative assessment of the network predictions’ reliability. Computer simulation and three-point bending mechanical loading experiment compare the performance of the BNN and the popular vector method. The results indicate that the BNN can enhance the SNR of estimated phase gradients by 8% in the presence of low noise levels. Importantly, the BNN successfully recovers the phase gradients that the vector method is unable to calculate due to the unresolved phase fringes in the presence of strong noise. Moreover, the BNN model uncertainty can be used to quantitatively analyze the prediction errors. It is expected that the contribution of this work can offer effective strain estimation for PC-OCT, enabling the internal mechanical property characterization to become high-quality and high-reliability.

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    Kang-yang ZHANG, Zi-hao NI, Bo DONG, Yu-lei BAI. Phase gradient estimation using Bayesian neural network[J]. Chinese Optics, 2024, 17(4): 842

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    Paper Information

    Received: Sep. 26, 2023

    Accepted: --

    Published Online: Aug. 9, 2024

    The Author Email:

    DOI:10.37188/CO.2023-0168

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