Guizar-Sicairos Manuel, Fienup James R
The Institute of Optics, University of Rochester, Rochester, New York 14627, USA. manuel.guizar‑
J Opt Soc Am A Opt Image Sci Vis. 2012 Nov 1;29(11):2367-75. doi: 10.1364/JOSAA.29.002367.
The twin-image problem in phase retrieval is characterized by the simultaneous occurrence of features from the original object and its inversion about the origin (twin image). This problem can occur in reconstructions for which the object support is centrosymmetric or loose, and in severe cases it can greatly hinder image quality. In this paper we examine this problem and find that it arises when the retrieved Fourier-domain phase is divided into sets of regions, some of which reconstruct the object while others the twin. We examine sample reconstructions that present the twin-image problem to different extents and find that, even when the twin-image problem is not visually evident, it can exist in small regions of the retrieved Fourier phase. The reduced-support constraint approach is shown to be effective in escaping stagnation caused by the twin-image problem.
相位恢复中的双像问题表现为原始物体的特征与其关于原点的反转（双像）同时出现。这个问题可能出现在物体支撑是中心对称或宽松的重建中，在严重的情况下，它会极大地阻碍图像质量。在本文中，我们研究了这个问题，发现当检索到的傅里叶域相位被划分为区域集时就会出现这个问题，其中一些区域重建物体，而另一些区域重建双像。我们检查了在不同程度上呈现双像问题的样本重建，发现即使双像问题在视觉上不明显，它也可能存在于检索到的傅里叶相位的小区域中。结果表明，减小支撑约束方法在避免由双像问题引起的停滞方面是有效的。
