Algebraic theory of phase retrieval
Tamir Bendory, Dan Edidin
TL;DR
This paper reviews recent algebraic advances in phase retrieval, highlighting open problems and connecting the field to broader mathematical and algebraic contexts.
Contribution
It introduces new algebraic perspectives on phase retrieval and publicizes open problems to stimulate further research in the field.
Findings
Recent algebraic methods have advanced phase retrieval understanding
Open problems identified to guide future research
Connections made between phase retrieval and algebraic structures
Abstract
The purpose of this article is to discuss recent advances in the growing field of phase retrieval, and to publicize open problems that we believe will be of interest to mathematicians in general, and algebraists in particular.
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Taxonomy
TopicsAdvanced X-ray Imaging Techniques · Electron and X-Ray Spectroscopy Techniques · X-ray Spectroscopy and Fluorescence Analysis