论文标题

条件良好的ptychograpic成像通过丢失的子空间完成

Well conditioned ptychograpic imaging via lost subspace completion

论文作者

Forstner, Anton, Krahmer, Felix, Melnyk, Oleh, Sissouno, Nada

论文摘要

PtyChography是相位检索问题的一种特殊情况,是现代成像中的一种流行方法。它的测量基于本地支持的窗口函数的偏移。通常,已知从这种测量中直接恢复对象是一个不适的问题。尽管对于某些窗口,可以控制条件,但对于许多重要情况,例如Gaussian Windows是不可能的。在本文中,我们开发了一个子空间完成算法,该算法可以稳定地重建,用于更广泛的窗口,包括高斯窗口。与正则化技术的结合可改善调理和更好的噪声稳健性。

Ptychography, a special case of the phase retrieval problem, is a popular method in modern imaging. Its measurements are based on the shifts of a locally supported window function. In general, direct recovery of an object from such measurements is known to be an ill-posed problem. Although for some windows the conditioning can be controlled, for a number of important cases it is not possible, for instance for Gaussian windows. In this paper we develop a subspace completion algorithm, which enables stable reconstruction for a much wider choice of windows, including Gaussian windows. The combination with a regularization technique leads to improved conditioning and better noise robustness.

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