从谱图测量中恢复紧支持光滑函数的一种可证明的精确算法

Michael Perlmutter, N. Sissouno, A. Viswanathan, M. Iwen
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引用次数: 0

摘要

我们提出了一种与直接相位检索方法密切相关的算法,该方法已被证明在经验上工作得很好[1],[2],并证明它保证从它们的谱图测量中恢复(直到全局相位)一大类紧支持平滑函数。因此,我们朝着开发一种新型实用的无相成像算法迈出了第一步,这种算法能够在被固定周期光栅的几个移位掩盖后产生可证明的精确图像。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Provably Accurate Algorithm for Recovering Compactly Supported Smooth Functions from Spectrogram Measurements
We present an algorithm which is closely related to direct phase retrieval methods that have been shown to work well empirically [1], [2] and prove that it is guaranteed to recover (up to a global phase) a large class of compactly supported smooth functions from their spectrogram measurements. As a result, we take a first step toward developing a new class of practical phaseless imaging algorithms capable of producing provably accurate images of a given sample after it is masked by just a few shifts of a fixed periodic grating.
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