Algorithms for Non-Negatively Constrained Maximum Penalized Likelihood Reconstruction in Tomographic Imaging

Image reconstruction is a key component in many medical imaging modalities. The problem of image reconstruction can be viewed as a special inverse problem where the unknown image pixel intensities are estimated from the observed measurements. Since the measurements are usually noise contaminated, st...

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Main Author: Jun Ma
Format: Article
Language:English
Published: MDPI AG 2013-03-01
Series:Algorithms
Subjects:
Online Access:http://www.mdpi.com/1999-4893/6/1/136
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spelling doaj-8168751e751948bb8dead4b59191f39e2020-11-25T00:57:19ZengMDPI AGAlgorithms1999-48932013-03-016113616010.3390/a6010136Algorithms for Non-Negatively Constrained Maximum Penalized Likelihood Reconstruction in Tomographic ImagingJun MaImage reconstruction is a key component in many medical imaging modalities. The problem of image reconstruction can be viewed as a special inverse problem where the unknown image pixel intensities are estimated from the observed measurements. Since the measurements are usually noise contaminated, statistical reconstruction methods are preferred. In this paper we review some non-negatively constrained simultaneous iterative algorithms for maximum penalized likelihood reconstructions, where all measurements are used to estimate all pixel intensities in each iteration.http://www.mdpi.com/1999-4893/6/1/136tomographic imagingpenalized likelihoodalgorithmsconstrained optimization
collection DOAJ
language English
format Article
sources DOAJ
author Jun Ma
spellingShingle Jun Ma
Algorithms for Non-Negatively Constrained Maximum Penalized Likelihood Reconstruction in Tomographic Imaging
Algorithms
tomographic imaging
penalized likelihood
algorithms
constrained optimization
author_facet Jun Ma
author_sort Jun Ma
title Algorithms for Non-Negatively Constrained Maximum Penalized Likelihood Reconstruction in Tomographic Imaging
title_short Algorithms for Non-Negatively Constrained Maximum Penalized Likelihood Reconstruction in Tomographic Imaging
title_full Algorithms for Non-Negatively Constrained Maximum Penalized Likelihood Reconstruction in Tomographic Imaging
title_fullStr Algorithms for Non-Negatively Constrained Maximum Penalized Likelihood Reconstruction in Tomographic Imaging
title_full_unstemmed Algorithms for Non-Negatively Constrained Maximum Penalized Likelihood Reconstruction in Tomographic Imaging
title_sort algorithms for non-negatively constrained maximum penalized likelihood reconstruction in tomographic imaging
publisher MDPI AG
series Algorithms
issn 1999-4893
publishDate 2013-03-01
description Image reconstruction is a key component in many medical imaging modalities. The problem of image reconstruction can be viewed as a special inverse problem where the unknown image pixel intensities are estimated from the observed measurements. Since the measurements are usually noise contaminated, statistical reconstruction methods are preferred. In this paper we review some non-negatively constrained simultaneous iterative algorithms for maximum penalized likelihood reconstructions, where all measurements are used to estimate all pixel intensities in each iteration.
topic tomographic imaging
penalized likelihood
algorithms
constrained optimization
url http://www.mdpi.com/1999-4893/6/1/136
work_keys_str_mv AT junma algorithmsfornonnegativelyconstrainedmaximumpenalizedlikelihoodreconstructionintomographicimaging
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