傅里叶变换
相位恢复
截断(统计)
分数阶傅立叶变换
算法
离散傅里叶变换(通用)
哈特利变换
相(物质)
离散时间傅里叶变换
对象(语法)
相位相关
非均匀离散傅里叶变换
数学
计算机科学
数学分析
物理
傅里叶分析
人工智能
量子力学
统计
作者
James R. Fienup,C.C. Wackerman
标识
DOI:10.1364/josaa.3.001897
摘要
The iterative Fourier-transform algorithm has been demonstrated to be a practical method for reconstructing an object from the modulus of its Fourier transform (i.e., solving the problem of recovering phase from a single intensity measurement). In some circumstances the algorithm may stagnate. New methods are described that allow the algorithm to overcome three different modes of stagnation: those characterized by (1) twin images, (2) stripes, and (3) truncation of the image by the support constraint. Curious properties of Fourier transforms of images are also described: the zero reversal for the striped images and the relationship between the zero lines of the real and imaginary parts of the Fourier transform. A detailed description of the reconstruction method is given to aid those employing the iterative transform algorithm.
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