深度学习辅助轻微离轴数字全息定量相位成像

Zhuoshi Li, C. Zuo, Qian Chen
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摘要

数字全息显微镜(DHM)是一种典型的定量相位成像技术,它将整个复杂波前信息通过干涉技术编码为条纹图案(即所谓的全息图),然后通过条纹分析方法进行定量解调。然而,离轴数字全息相位解调通常需要足够高的载波空间频率来分离傅里叶域中±1阶和0阶频谱,从而限制了系统的空间带宽积(SBP)。在线全息配置可以实现全探测器带宽相位重构,但会牺牲时间分辨率。在这项工作中,我们提出了一种适用于轻微离轴数字全息技术的高精度无伪影单帧低载波频率边缘解调方案,有效优化了系统的 SBP。该方案作为一种深度学习辅助物理模型的方法,通过残差补偿的思想将卷积神经网络融入到一个完整的物理模型中,既提高了物理方法的成像精度,又保证了深度学习的可解释性。通过数值模拟对所提方法的有效性进行了定量分析,并通过活细胞实验进行了实验验证。与传统物理方法相比,相位恢复精度提高了一个数量级(MAE 达 0.0065)。活细胞实验证明了该方法在生物研究中的实用性。此外,值得注意的是,与经典的端到端深度学习模型(无物理模型)相比,所提出的方法只利用了一小部分数据集就实现了更高的重建精度。本文提出的深度学习辅助物理模型思想有望为多种计算成像技术带来更多解决方案。
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Deep learning-assisted slightly off-axis digital holographic quantitative phase imaging
Digital holographic microscopy (DHM) is a typical quantitative phase imaging technique, in which the entire complex wavefront information is interferometrically encoded as a fringe pattern (so-called hologram) and then quantitatively demodulated by fringe analysis methods. Yet the off-axis digital holographic phase demodulation typically requires sufficiently high carrier spatial frequency for separating ±1-order and 0-order spectrum in the Fourier domain, limiting the space-bandwidth product (SBP) of the system. The in-line holographic configuration can realize full detector-bandwidth phase reconstruction at the cost of time resolution. In this work, we proposed a high-accuracy artifacts-free single-frame low-carrier frequency fringe demodulation scheme for the slightly off-axis digital holography, optimizing the system’s SBP effectively. This scheme acts as a method of deep-learning assisted physical model, incorporating a convolution neural network into a complete physical model by the idea of residual compensation, which enhances the imaging precision of the physical method while promises the interpretability of deep learning. The effectiveness of the proposed method is quantitatively analyzed through numerical simulation and experimentally verified by live-cells experiment. The phase recovered accuracy can be improved by one order of magnitude (the MAE up to 0.0065) compared with the traditional physical method. The live-cells experiment demonstrates the practicality of the method in biological research. Furthermore, it’s worth noting that the proposed method achieves a higher reconstruction accuracy utilizing only a small fraction of the datasets of the classical end-to-end deep learning model (without a physical model). The proposed deep learning-assisted physical model idea in this article is expected to bring more solutions for diverse computational imaging techniques.
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