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PRODID:Mathematics Seminar Calendar
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UID:20170921T173346-4108@math.msu.edu
DTSTAMP:20170921T173346Z
SUMMARY:Phase retrieval from local measurements
DESCRIPTION:Speaker\: Rayan Saab, UCSD\r\nWe consider an instance of the phase-retrieval problem, where one wishes to recover a signal (viewed as a vector) from the noisy magnitudes of its inner products with locally supported vectors. Such measurements arise, for example, in ptychography, which is an imaging technique used in lense-less X-ray microscopes and in optical microscopes with increased fields of view. \r\n\r\nStarting with the setup where the signal is one-dimensional, we present theoretical and numerical results on an approach that has two important properties. First, it allows deterministic measurement constructions (which we give examples of). Second, it uses a robust, fast recovery algorithm that consists of solving a system of linear equations in a lied space, followed by finding an eigenvector (e.g., via an inverse power iteration). We also present extensions to the two-dimensional setting. \r\n\r\nThis is joint work with M. Iwen, B. Preskit, and A. Viswanathan.
LOCATION:C517 Wells Hall
DTSTART:20170914T201000Z
DTEND:20170914T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=4108
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