SIAM Journal on Imaging Sciences, Volume 13, Issue 1, Page 214-233, January 2020.
Ptychography is a popular imaging technique that combines diffractive imaging with scanning microscopy. The technique consists of a coherent beam that is scanned across an object in a series of overlapping positions, leading to reliable and improved reconstructions. Ptychographic microscopes allow for large fields to be imaged at high resolution at the cost of additional computational expense. In this work, we propose a multigrid-based optimization framework to reduce the computational burdens of large-scale ptychographic phase retrieval. Our proposed method exploits the inherent hierarchical structures in ptychography through tailored restriction and prolongation operators for the object and data domains. Our numerical results show that our proposed scheme accelerates the convergence of its underlying solver and outperforms the ptychographical iterative engine, a workhorse in the optics community.

中文翻译：

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大规模色谱图相位检索的多网格优化

SIAM影像科学杂志，第13卷，第1期，第214-233页，2020年1月。
柱状图技术是一种流行的成像技术，将衍射成像与扫描显微镜相结合。该技术由相干光束组成，该光束在一系列重叠位置扫描过一个对象，从而实现了可靠且改进的重建。柱状显微镜允许以较大的分辨率对大视野成像，但需要付出额外的计算费用。在这项工作中，我们提出了一个基于多网格的优化框架，以减少大规模刻印相检索的计算负担。我们提出的方法通过针对对象和数据域的量身定制的限制和延长运算符，来利用密码学中固有的层次结构。