Relaxed averaged alternating reflections for diffraction imaging

被引：426

作者：

Luke, DR ^{[1
]}

机构：

[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

来源：

INVERSE PROBLEMS | 2005年 / 21卷 / 01期

关键词：

D O I：

10.1088/0266-5611/21/1/004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We report on progress in algorithms for iterative phase retrieval. The theory of convex optimization is used to develop and to gain insight into counterparts for the nonconvex problem of phase retrieval. We propose a relaxation of averaged alternating reflectors and determine the fixed-point set of the related operator in the convex case. A numerical study supports our theoretical observations and demonstrates the effectiveness of the algorithm compared to the current state of the art.

引用

收藏

页码：37 / 50

页数：14

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