Relaxed averaged alternating reflections for diffraction imaging
Relaxed averaged alternating reflections for diffraction imaging
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DOI：
10.1088/0266-5611/21/1/004
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发表时间：
2005-02-01
期刊：
影响因子：
2.1
通讯作者：
Luke, DR
中科院分区：
文献类型：
--
作者：
Luke, DR
我们报告了迭代相位恢复算法的进展。凸优化理论被用于开发并深入了解相位恢复这一非凸问题的相关内容。我们提出了一种平均交替反射器的松弛形式，并确定了凸情形下相关算子的不动点集。一项数值研究支持了我们的理论观察，并证明了与现有技术相比该算法的有效性。
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.