Phase retrieval by iterated projections
Phase retrieval by iterated projections
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DOI：
10.1364/josaa.20.000040
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发表时间：
2003-01-01
影响因子：
1.9
通讯作者：
Elser, V
中科院分区：
文献类型：
--
作者：
Elser, V
相位恢复中的几种策略通过由一对基本投影和三个实参数构建的迭代“差分映射”统一起来。对于光学中的标准应用，其中两个投影分别实现傅里叶模量和物体支撑约束，当对其中两个参数进行特定选择时，差分映射重现了芬恩普输入 - 输出映射的“混合”形式。差分映射的几何构造阐明了其不动点与恢复物体之间的区别，以及避免交替投影方案所遇到的停滞形式的机制。当支撑约束被物体直方图或原子性约束取代时，差分映射适用于晶体相位恢复。对合成数据的数值实验表明，可以求解具有数百个原子的结构。（C）2003美国光学学会
Several strategies in phase retrieval are unified by an iterative "difference map" constructed from a pair of elementary projections and three real parameters, For the standard application in optics, where the two projections implement Fourier modulus and object support constraints, respectively, the difference map reproduces the "hybrid'' form of Fienup's input-output map when a particular choice is made for two of the parameters. The geometric construction of the difference map illuminates the distinction between its fixed points and the recovered object, as well as the mechanism whereby the form of stagnation encountered by alternating projection schemes is avoided. When support constraints are replaced by object histogram or atomicity constraints, the difference map lends itself to crystallographic phase retrieval. Numerical experiments with synthetic data suggest that structures with hundreds of atoms can be solved. (C) 2003 Optical Society of America.