Alternating projection, ptychographic imaging and phase synchronization

被引：67

作者：

Marchesini, Stefano ^{[1
]}

Tu, Yu-Chao ^{[2
]}

Wu, Hau-Tieng ^{[3
]}

机构：

[1] Lawrence Berkeley Natl Lab, Adv Light Source, Berkeley, CA 94720 USA

[2] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

[3] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2016年 / 41卷 / 03期

关键词：

Phase retrieval; Ptychography; Alternating projection; Graph connection Laplacian; Phase synchronization; X-RAY-DIFFRACTION; ELECTRON-DIFFRACTION; COMPUTED-TOMOGRAPHY; RETRIEVAL; RESOLUTION; RECONSTRUCTION;

D O I：

10.1016/j.acha.2015.06.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We demonstrate necessary and sufficient conditions of the local convergence of the alternating projection algorithm to a unique solution up to a global phase factor. Additionally, for the ptychography imaging problem, we discuss phase synchronization and graph connection Laplacian, and show how to construct an accurate initial guess to accelerate convergence speed to handle the big imaging data in the coming new light source era. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：815 / 851

页数：37

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