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基于多平面纯强度数据的波场重建:增广拉格朗日算法

Wave field reconstruction from multiple plane intensity-only data: augmented lagrangian algorithm.

作者信息

Migukin Artem, Katkovnik Vladimir, Astola Jaakko

机构信息

Department of Signal Processing, Tampere University of Technology, P.O. Box 527, FI-33101 Tampere, Finland.

出版信息

J Opt Soc Am A Opt Image Sci Vis. 2011 Jun 1;28(6):993-1002. doi: 10.1364/JOSAA.28.000993.

DOI:10.1364/JOSAA.28.000993
PMID:21643383
Abstract

A complex-valued wave field is reconstructed from intensity-only measurements given at multiple observation planes parallel to the object plane. The phase-retrieval algorithm is obtained from the constrained maximum likelihood approach provided that the additive noise is gaussian. The forward propagation from the object plane to the measurement plane is treated as a constraint in the proposed variational setting of reconstruction. The developed iterative algorithm is based on an augmented lagrangian technique. An advanced performance of the algorithm is demonstrated by numerical simulations.

摘要

从在与物平面平行的多个观测平面上仅给出的强度测量值中重建复值波场。假设加性噪声为高斯噪声,则从约束最大似然方法获得相位恢复算法。在所提出的重建变分设置中,将从物平面到测量平面的正向传播视为一个约束。所开发的迭代算法基于增广拉格朗日技术。通过数值模拟证明了该算法的先进性能。

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