Abstract A totally automatic and robust phase aberration compensation method is proposed for digital holographic microscopy. The correction needs no manual operation or prior knowledge of the recording setup. As the phase aberrations are modeled with orthogonal polynomials, not only phase curvature but also high order aberrations could be corrected with a single hologram. The polynomial coefficients are obtained in an optimization procedure by minimizing the total standard deviation, i.e., the sum of local standard deviation of the compensated phase map. Since both the global and the local phase variations are considered, the proposed method is more accurate and robust than the state-of-the-art numerical methods with the existence of abrupt edges and phase noise. The effectiveness of the proposed method is validated with numerical simulation and the experimental results of mouse osteoblastic MC3T3-E1 living cells and USAF 1951 resolution target.

中文翻译：

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基于最小总标准偏差的数字全息显微镜自动和稳健的相位像差补偿

摘要 提出了一种全自动、鲁棒的数字全息显微相位像差补偿方法。校正不需要手动操作或记录设置的先验知识。由于相位像差是用正交多项式建模的，因此不仅可以用单个全息图校正相位曲率，还可以校正高阶像差。通过最小化总标准偏差，即补偿相位图的局部标准偏差之和，在优化过程中获得多项式系数。由于同时考虑了全局和局部相位变化，所提出的方法比具有突变边缘和相位噪声的最先进的数值方法更准确和鲁棒。