A direct solver for the phase retrieval problem in ptychographic imaging

讲座题目：A direct solver for the phase retrieval problem in ptychographic imaging
讲座时间 Datetime: 2025年 4 月 9 日，周三， 10：00-12：00
地点 Venue: 海琴2号楼A457
主持人 Host：Davide Bianchi 副教授
报告人 Speaker: Florian Bossmann  副教授
单位 Affiliation: 哈尔滨工业大学
报告摘要 Abstract:
Measurements achieved with ptychographic imaging are a special case of diffraction meas. By shifting the sample, a set of far-field diffraction patterns of the whole sample are then obtained. From a mathematical point of view those measurements are the squared modulus of the windowed Fourier transform of the sample. Thus, we have a phase retrieval problem for local Fourier measurements. A direct solver for this problem was introduced by Iwen, Viswanathan and Wang in 2016 and improved by Iwen, Preskitt, Saab and Viswanathan in 2018. Motivated by the applied perspective of ptychographic imaging, we present a generalization of this method and compare the different versions in numerical experiments. The new method turns out to be more stable, particularly in the case of missing data.
报告人简介：
Prof. Florian Bossmann is currently working as an Associate Professor at Harbin Institute of Technology (Department of Mathematics). His research interests are signal and image processing, greedy methods and fast algorithms, inverse and NP-hard problems, and applications.