用机器学习联合估计相位和剪切量,提升干涉成像精度与鲁棒性。
OSI-flex: Optimization-Based Shearing Interferometry for Joint Phase and Shear Estimation Using a Flexible Open-Source Framework
- 基于自动微分与ADAM优化,联合反演相位与剪切参数
- 支持单剪切、非正交剪切,且在30像素内保持高精度
- 开源灵活,适用于从亚像素到数十像素的多种剪切场景
剪切干涉是一种共路定量相位成像技术,通过物体光束与其横向平移后的副本干涉,具有高时间稳定性、抗环境噪声、结构紧凑及兼容部分相干照明等优势,可抑制相干伪影。其主要局限在于仅提供剪切相位差测量,需额外重建步骤获取绝对相位。本文提出OSI-flex,一个基于现代机器学习工具(自动微分与ADAM优化器)的开放源代码计算框架,实现从剪切相位差中联合估计相位与剪切值。该方法能适应剪切量难以精确确定的实验条件,显著提升重建鲁棒性。框架支持任意数量、大小和方向的剪切矢量,即使使用非正交或单一剪切,结合总变差最小化与符号约束正则化仍可获得有效结果。适用剪切范围涵盖亚像素(微分配置)至数十像素(半全剪切配置)。仿真与实验数据验证表明,该方法在标定相位物体上表现量化准确,并成功应用于3D打印细胞模型与滤泡状甲状腺细胞,展现出优异性能。
原文摘要 · Abstract (English)
Shearing interferometry is a common-path quantitative phase imaging technique in which an object beam interferes with a laterally shifted replica of itself, providing high temporal stability, reduced sensitivity to environmental noise, compact design, and compatibility with partially coherent illumination that suppresses coherence-related artifacts. Its principal limitation, however, is that it yields only sheared phase-difference measurements rather than the absolute phase, thereby requiring additional reconstruction step. In this work, we introduce OSI-flex, a flexible, open-source computational framework for quantitative phase reconstruction from sheared phase-difference measurements. The method leverages modern machine learning tools, namely automatic differentiation and the advanced ADAM (Adaptive Moment Estimation) optimizer. The method simultaneously estimates the phase and shear values, enabling it to adapt to experimental conditions where the shear cannot be precisely determined. Because defining shear value is inherently difficult in most systems, yet crucial for effective phase reconstruction, this joint optimization leads to robust and reliable phase retrieval. OSI-flex is highly versatile, supporting arbitrary numbers, magnitudes, and orientations of shear vectors. While optimal reconstruction is achieved with two orthogonal shears, the inclusion of regularization - specifically total variation minimization and sign constraint - enables OSI-flex to remain effective with nonorthogonal or even single-shear measurements. Moreover, OSI-flex accommodates a wide range of shear magnitudes, from subpixel (differential configuration) to several dozen pixels (semi-total shear configuration). Validation with simulations and experimental data confirms quantitative accuracy on calibrated phase objects and demonstrates robustness with 3D-printed cell phantom and follicular thyroid cells.
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