Automatic regularization for tomographic image reconstruction

The phase retrieval process of imaging a sample can be modeled as a simple convolution process. Sometimes, such a convolution depends on physical parameters of the sample which are difficult to estimate a priori. In this case, a blind choice for those parameters usually lead to wrong results, e.g.,...

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Bibliographic Details
Main Authors: Eduardo Miqueles, Patricio Guerrero
Format: Article
Language:English
Published: Elsevier 2020-05-01
Series:Results in Applied Mathematics
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037419300883
Description
Summary:The phase retrieval process of imaging a sample can be modeled as a simple convolution process. Sometimes, such a convolution depends on physical parameters of the sample which are difficult to estimate a priori. In this case, a blind choice for those parameters usually lead to wrong results, e.g., extracting information from the reconstructed images. In this manuscript, we propose a simple connection between phase-retrieval algorithms and optimization strategies, which lead us to ways of numerically determining the physical parameters. Keywords: Regularization, Phase, Tomography, Synchrotron
ISSN:2590-0374