.png){kind=icon}
返回
Phase Retrieval via Matrix Completion
.png){kind=icon}
OA
AI
DOI：10.1137/151005099.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
This paper develops a novel framework for phase retrieval, a problem which arises in X-ray crystallography, diffraction imaging, astronomical imaging, and many other applications. Our approach, called PhaseLift, combines multiple structured illuminations together with ideas from convex programming to recover the phase from intensity measurements, typically from the modulus of the diffracted wave. We demonstrate empirically that a complex-valued object can be recovered from the knowledge of the magnitude of just a few diffracted patterns by solving a simple convex optimization problem inspired by the recent literature on matrix completion. More importantly, we also demonstrate that our noise-aware algorithms are stable in the sense that the reconstruction degrades gracefully as the signal-to-noise ratio decreases. Finally, we introduce some theory showing that one can design very simple structured illumination patterns such that three diffracted figures uniquely determine the phase of the object we wish to recover.
Keyword:
diffraction
Fourier transform
convex optimization
trace-norm minimization
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
6.1
论文数:
888
被引数:
1.2W
机构
引用论文
Electronic and optoelectronic properties of van der Waals heterostructure based on graphene-like GaN, blue phosphorene, SiC, and ZnO: A first principles study基于类石墨烯GaN，蓝色磷烯，SiC和ZnO的范德华异质结构的电子和光电性质: 第一性原理研究
PREAI
分享收藏Influence of root-exudates concentration on pyrene degradation and soil microbial characteristics in pyrene contaminated soil.png)
Chemosphere
ChemosphereIF0
PREAI
分享收藏Treatment options in stage I endometrial stromal sarcoma: A retrospective analysis of 53 casesI期子宫内膜间质肉瘤的治疗选择: 53例回顾性分析
PREAI
分享收藏
On the rank minimization problem over a positive semidefinite linear matrix inequality关于半正定线性矩阵不等式的秩最小化问题
PREAI
分享收藏
查看更多内容