Probabilistic Matrix Completion for Image Phase Retrieval. Nyfantis, P., Ruiz, P., & Katsaggelos, A. K. In 2018 25th IEEE International Conference on Image Processing (ICIP), pages 3983–3987, oct, 2018. IEEE. Paper doi abstract bibtex In this paper we address the Phase Retrieval problem, which aims to recover the phase of the Fourier transform of a signal when only magnitude measurements are available. Following recent developments in Phase Retrieval, the problem can be transformed into a convex semidefinite programming optimization problem, which can be solved using Matrix Completion techniques. In this paper the acquisition process is modeled using a likelihood function, which splits the original problem into two convex optimization problems, and alternates between the solution of each of them. To relate both convex problems we introduce a heuristic, which results in fast convergence of the proposed method.
@inproceedings{Petros2018,
abstract = {In this paper we address the Phase Retrieval problem, which aims to recover the phase of the Fourier transform of a signal when only magnitude measurements are available. Following recent developments in Phase Retrieval, the problem can be transformed into a convex semidefinite programming optimization problem, which can be solved using Matrix Completion techniques. In this paper the acquisition process is modeled using a likelihood function, which splits the original problem into two convex optimization problems, and alternates between the solution of each of them. To relate both convex problems we introduce a heuristic, which results in fast convergence of the proposed method.},
author = {Nyfantis, Petros and Ruiz, Pablo and Katsaggelos, Aggelos K.},
booktitle = {2018 25th IEEE International Conference on Image Processing (ICIP)},
doi = {10.1109/ICIP.2018.8451272},
isbn = {978-1-4799-7061-2},
issn = {15224880},
keywords = {Alternating minimization,Lifting,Nonconvex quadratic programming,Phase,Retrieval},
month = {oct},
pages = {3983--3987},
publisher = {IEEE},
title = {{Probabilistic Matrix Completion for Image Phase Retrieval}},
url = {https://ieeexplore.ieee.org/document/8451272/},
year = {2018}
}
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