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SUMMARY:The Geometry of the Phase Retrieval Problem
DTSTART:20180918T171500
DTEND:20180918T181500
DTSTAMP:20260510T031846Z
UID:8ddf4386dc714194d331d8f67435d91b4681e56e2122864199cdafa3
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Charles L. Epstein (University of Pennsylvania)\nOne of 
 the most powerful approaches to imaging at the nanometer or subnanometer l
 ength scale is coherent diffraction imaging using X-ray sources. For amorp
 hous (non-crystalline) samples\, the raw data can be interpreted as the mo
 dulus of the continuous Fourier transform of the unknown object. Making us
 e of prior information about the sample (such as its support)\, a natural 
 goal is to recover the phase through computational means\, after which the
  unknown object can be visualized at high resolution. While many algorithm
 s have been proposed for this phase retrieval problem\, careful analysis o
 f its well-posedness has received relatively little attention. In fact the
  problem is\, in general\, not well-posed and describe some of the underly
 ing geometric issues that are responsible for the ill-posedness. We then s
 how how this analysis can be used to develop experimental protocols that l
 ead to better conditioned inverse problems.
LOCATION:CM 1 4 https://plan.epfl.ch/?room==CM%201%204
STATUS:CONFIRMED
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