Undersampled Phase Retrieval with Outliers

IEEE Transactions on Computational Imaging
Daniel S WellerJeffrey A Fessler

Abstract

This paper proposes a general framework for reconstructing sparse images from undersampled (squared)-magnitude data corrupted with outliers and noise. This phase retrieval method uses a layered approach, combining repeated minimization of a convex majorizer (surrogate for a nonconvex objective function), and iterative optimization of that majorizer using a preconditioned variant of the alternating direction method of multipliers (ADMM). Since phase retrieval is nonconvex, this implementation uses multiple initial majorization vectors. The introduction of a robust 1-norm data fit term that is better adapted to outliers exploits the generality of this framework. The derivation also describes a normalization scheme for the regularization parameter and a known adaptive heuristic for the ADMM penalty parameter. Both 1D Monte Carlo tests and 2D image reconstruction simulations suggest the proposed framework, with the robust data fit term, reduces the reconstruction error for data corrupted with both outliers and additive noise, relative to competing algorithms having the same total computation.

References

Jan 25, 2003·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Veit Elser
Apr 12, 2003·Neural Computation·A L Yuille, Anand Rangarajan
Jun 13, 2003·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Heinz H BauschkeD Russell Luke
Apr 1, 2006·Proceedings of the National Academy of Sciences of the United States of America·David L Donoho, Michael Elad
Oct 4, 2007·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Stefano Marchesini
Oct 12, 2007·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Matthew W Jacobson, Jeffrey A Fessler
Apr 3, 2008·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·K SetsompopE Adalsteinsson
Aug 1, 1982·Applied Optics·J R Fienup
Mar 31, 2011·Archives of Disease in Childhood. Education and Practice Edition·Arne Ohlsson
Oct 8, 2011·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Eliyahu OsherovichIrad Yavneh
Oct 15, 2011·Optics Express·Tatiana LatychevskaiaHans-Werner Fink
Apr 3, 2012·Nature Materials·A SzameitM Segev
Jan 8, 2013·Applied Optics·James R Fienup
Jul 4, 2013·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Daniel S WellerJeffrey A Fessler

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Citations

Sep 24, 2016·Applied Optics·Ferréol SoulezMichael Unser

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