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Proceedings Paper

Phase retrieval from local measurements in two dimensions
Author(s): Mark Iwen; Brian Preskitt; Rayan Saab; Aditya Viswanathan
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Paper Abstract

The phase retrieval problem has appeared in a multitude of applications for decades. While ad hoc solutions have existed since the early 1970s, recent developments have provided algorithms that offer promising theoretical guarantees under increasingly realistic assumptions. Motivated by ptychographic imaging, we generalize a recent result on phase retrieval of a one dimensional objective vector x ∈ ℂd to recover a two dimensional sample Q ∈ ℂd x d from phaseless measurements, using a tensor product formulation to extend the previous work.

Paper Details

Date Published: 24 August 2017
PDF: 8 pages
Proc. SPIE 10394, Wavelets and Sparsity XVII, 103940X (24 August 2017); doi: 10.1117/12.2274355
Show Author Affiliations
Mark Iwen, Michigan State Univ. (United States)
Brian Preskitt, Univ. of California, San Diego (United States)
Rayan Saab, Univ. of California, San Diego (United States)
Aditya Viswanathan, Univ. Michigan, Dearborn (United States)

Published in SPIE Proceedings Vol. 10394:
Wavelets and Sparsity XVII
Yue M. Lu; Dimitri Van De Ville; Manos Papadakis, Editor(s)

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