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arXiv 2306.15701eess.IVcs.CGmath.DGphysics.optics

通过非刚性图像配准进行相位恢复

Phase retrieval via non-rigid image registration

Erik Malm

AI总结:

本文提出基于LDDMM形式化的间接配准方法,利用外微积分框架统一处理形变,实现相干衍射成像中的相位恢复,并验证了算法对噪声和图像拓扑的鲁棒性。

摘要:

相位恢复是从幅度及附加信息中恢复复值信号的数值过程。本文研究了基于大变形微分同胚度量映射(LDDMM)形式化的间接配准程序,作为相干衍射成像的相位恢复方法。该方法试图通过将衍射图样与数据进行比较,找到一种将初始模板图像转换为匹配未知目标图像的形变。外微积分框架用于以统一且与坐标无关的方式处理不同类型的形变。通过数值例子探讨了算法在测量噪声、图像拓扑和特定作用方面的性能。

英文摘要:

Phase retrieval is the numerical procedure of recovering a complex-valued signal from knowledge about its amplitude and some additional information. Here, an indirect registration procedure, based on the large deformation diffeomorphic metric mapping (LDDMM) formalism, is investigated as a phase retrieval method for coherent diffractive imaging. The method attempts to find a deformation which transforms an initial, template image to match an unknown target image by comparing the diffraction pattern to the data. The exterior calculus framework is used to treat different types of deformations in a unified and coordinate-free way. The algorithm performance with respect to measurement noise, image topology, and particular action are explored through numerical examples.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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