演講公告

演講主題：Phase Retrieval: Local convergence of the ER algorithm with random illumination
主講人：Dr. Gi-Ren Liu (Department of Mathematics, University of California, Davis, USA.)
演講日期：2015年3月24日(星期二) 下午2:00 –3:00
演講地點：(光復校區) 科學一館223室
茶會時間：當天下午1:30 (科學一館205室)
摘要內容：
In many areas of imaging science, it is difficult to determine the phase of linear measurements. For example, in the X-ray imaging, the detector can only measure the Fourier magnitude of the received optical wave. In this setting, the goal of the phase retrieval is to reconstruct the unknown image from the Fourier magnitude data. Due to the absence of the phase information, phase retrieval does not have a unique solution. In 2012, Albert Fannjiang proved that randomly modifying the phases of the unknown image by a mask can lead to a unique solution up to a global phase factor. The simulation results show that random illumination can also significantly improve the numerical performance of the Error-Reduction (ER) algorithm, which is the most popular phase-retrieval algorithm. This talk describes why the random phase illumination can guarantee the local convergence of the ER algorithm, how to calculate the convergence rate, and what breakthroughs have been made compared with related works.
相關檔案：Talk_1040324.doc

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