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Comparative analysis of autofocus functions in digital in-line phase-shifting holography

机译:数字在线相移全息术中自动聚焦功能的比较分析

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摘要

Numerical reconstruction of digital holograms relies on a precise knowledge of the original object position. However, there are a number of relevant applications where this parameter is not known in advance and an efficient autofocusing method is required. This paper addresses the problem of finding optimal focusing methods for use in reconstruction of digital holograms of macroscopic amplitude and phase objects, using digital in-line phase-shifting holography in transmission mode. Fifteen autofocus measures, including spatial-, spectral-, and sparsity-based methods, were evaluated for both synthetic and experimental holograms. The Fresnel transform and the angular spectrum reconstruction methods were compared. Evaluation criteria included unimodality, accuracy, resolution, and computational cost. Autofocusing under angular spectrum propagation tends to perform better with respect to accuracy and unimodality criteria. Phase objects are, generally, more difficult to focus than amplitude objects. The normalized variance, the standard correlation, and the Tenenbaum gradient are the most reliable spatial-based metrics, combining computational efficiency with good accuracy and resolution. A good trade-off between focus performance and computational cost was found for the Fresnelet sparsity method. (C) 2016 Optical Society of America
机译:数字全息图的数值重建依赖于对原始物体位置的精确了解。然而,在许多相关的应用中,该参数是事先未知的,因此需要一种有效的自动聚焦方法。本文解决了在传输模式下使用数字在线相移全息技术找到用于重建宏观振幅和相位物体的数字全息图的最佳聚焦方法的问题。针对合成全息图和实验全息图,评估了15种自动对焦措施,包括基于空间,光谱和稀疏性的方法。比较了菲涅耳变换和角谱重构方法。评估标准包括单峰性,准确性,分辨率和计算成本。在准确性和单峰性标准方面,角谱传播下的自动聚焦往往表现更好。通常,相位对象比幅度对象更难聚焦。归一化方差,标准相关性和Tenenbaum梯度是最可靠的基于空间的度量,将计算效率与良好的准确性和分辨率相结合。 Fresnelet稀疏性方法在聚焦性能和计算成本之间取得了很好的折衷。 (C)2016美国眼镜学会

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