Two-dimensional phase retrieval by exponential filtering.

Two-dimensional phase retrieval by exponential filtering.
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通过指数滤波进行二维相位检索。

DOI:
10.1364/ao.28.001489
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发表时间:
1989
期刊:
影响因子:
1.9
通讯作者:
N. Nakajima
N. Nakajima
中科院分区:
工程技术4区
文献类型:
--
作者:
N. Nakajima

文献摘要

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采用了两种相位恢复方法,从其图像中重建二维目标函数。在目标平面上有或没有指数滤波器的傅里叶变换模量。一种方法是只使用傅里叶级数展开的相位恢复方法,另一种方法是使用对数希尔伯特变换和傅里叶级数展开的相位恢复方法。这些方法扩展了利用指数型全函数的性质成功重建二维物体的范围。这些方法的有效性在利用二维实相物体的傅里叶模量进行重建的计算机仿真研究中得到了证明。
Two phase retrieval methods are used for the reconstruction of a 2-D object function from its. Fourier transformed moduli obtained with and without an exponential filter at the object plane. One of the methods is a phase retrieval method using only the Fourier series expansion, and the other is a phase retrieval method using the logarithmic Hilbert transform and the Fourier series expansion. These methods extend the range that successful reconstructions of 2-D objects can be obtained by making use of the properties of entire functions of the exponential type. The usefulness of these methods is shown in computer simulation studies of the reconstructions of 2-D real and phase objects from their Fourier moduli.