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Abstract and Applied Analysis
Volume 2015 (2015), Article ID 943501, 11 pages
http://dx.doi.org/10.1155/2015/943501
Research Article

Regularization Methods for Phase Retrieval and Phase Contrast Tomography

CREATIS, INSA-Lyon, Inserm, U1044, CNRS UMR 5220, Université Lyon 1, Université de Lyon, 69621 Lyon, France

Received 26 September 2014; Accepted 26 December 2014

Academic Editor: Bangti Jin

Copyright © 2015 Bruno Sixou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Phase contrast tomography is a high sensitivity medical imaging technique. Several regularization methods have been used in the literature to obtain stable solutions for the phase retrieval or the phase contrast tomography problems. Yet, the functional framework and the convergence properties of the methods have not been studied in detail. In this work, the convergence properties of regularization approaches for phase retrieval and phase contrast tomography are investigated.