The Geometry of the Phase Retrieval Problem

授课人:Charles Epstein

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    Applied Mathematics;   

加拿大|英语

【 摘 要 】

Phase retrieval is a problem that arises in a wide range of imagingapplications, including x-ray crystallography, x-ray diffraction imagingand ptychography. The data in the phase retrieval problem are samples ofthe modulus of the Fourier transform of an unknown function. Toreconstruct this function one must use auxiliary information to determinethe unmeasured Fourier transform phases. There are many algorithms toaccomplish task, but none work very well. In this talk we present ananalysis of the geometry that underlies these failures and points to newapproaches for solving this class of problems.

【 授权许可】

CC BY-NC-ND   
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