Nonlinear dual reconstruction of SPECT activity and attenuation images.
In single photon emission computed tomography (SPECT), accurate attenuation maps are needed to perform essential attenuation compensation for high quality radioactivity estimation. Formulating the SPECT activity and attenuation reconstruction tasks as coupled signal estimation and system parameter i...
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2014
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oai:doaj.org-article:f7514ba36ccb45a9b7a67e2a3a52a8172021-11-25T06:00:34ZNonlinear dual reconstruction of SPECT activity and attenuation images.1932-620310.1371/journal.pone.0106951https://doaj.org/article/f7514ba36ccb45a9b7a67e2a3a52a8172014-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0106951https://doaj.org/toc/1932-6203In single photon emission computed tomography (SPECT), accurate attenuation maps are needed to perform essential attenuation compensation for high quality radioactivity estimation. Formulating the SPECT activity and attenuation reconstruction tasks as coupled signal estimation and system parameter identification problems, where the activity distribution and the attenuation parameter are treated as random variables with known prior statistics, we present a nonlinear dual reconstruction scheme based on the unscented Kalman filtering (UKF) principles. In this effort, the dynamic changes of the organ radioactivity distribution are described through state space evolution equations, while the photon-counting SPECT projection data are measured through the observation equations. Activity distribution is then estimated with sub-optimal fixed attenuation parameters, followed by attenuation map reconstruction given these activity estimates. Such coupled estimation processes are iteratively repeated as necessary until convergence. The results obtained from Monte Carlo simulated data, physical phantom, and real SPECT scans demonstrate the improved performance of the proposed method both from visual inspection of the images and a quantitative evaluation, compared to the widely used EM-ML algorithms. The dual estimation framework has the potential to be useful for estimating the attenuation map from emission data only and thus benefit the radioactivity reconstruction.Huafeng LiuMin GuoZhenghui HuPengcheng ShiHongjie HuPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 9, Iss 9, p e106951 (2014) |
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Medicine R Science Q Huafeng Liu Min Guo Zhenghui Hu Pengcheng Shi Hongjie Hu Nonlinear dual reconstruction of SPECT activity and attenuation images. |
description |
In single photon emission computed tomography (SPECT), accurate attenuation maps are needed to perform essential attenuation compensation for high quality radioactivity estimation. Formulating the SPECT activity and attenuation reconstruction tasks as coupled signal estimation and system parameter identification problems, where the activity distribution and the attenuation parameter are treated as random variables with known prior statistics, we present a nonlinear dual reconstruction scheme based on the unscented Kalman filtering (UKF) principles. In this effort, the dynamic changes of the organ radioactivity distribution are described through state space evolution equations, while the photon-counting SPECT projection data are measured through the observation equations. Activity distribution is then estimated with sub-optimal fixed attenuation parameters, followed by attenuation map reconstruction given these activity estimates. Such coupled estimation processes are iteratively repeated as necessary until convergence. The results obtained from Monte Carlo simulated data, physical phantom, and real SPECT scans demonstrate the improved performance of the proposed method both from visual inspection of the images and a quantitative evaluation, compared to the widely used EM-ML algorithms. The dual estimation framework has the potential to be useful for estimating the attenuation map from emission data only and thus benefit the radioactivity reconstruction. |
format |
article |
author |
Huafeng Liu Min Guo Zhenghui Hu Pengcheng Shi Hongjie Hu |
author_facet |
Huafeng Liu Min Guo Zhenghui Hu Pengcheng Shi Hongjie Hu |
author_sort |
Huafeng Liu |
title |
Nonlinear dual reconstruction of SPECT activity and attenuation images. |
title_short |
Nonlinear dual reconstruction of SPECT activity and attenuation images. |
title_full |
Nonlinear dual reconstruction of SPECT activity and attenuation images. |
title_fullStr |
Nonlinear dual reconstruction of SPECT activity and attenuation images. |
title_full_unstemmed |
Nonlinear dual reconstruction of SPECT activity and attenuation images. |
title_sort |
nonlinear dual reconstruction of spect activity and attenuation images. |
publisher |
Public Library of Science (PLoS) |
publishDate |
2014 |
url |
https://doaj.org/article/f7514ba36ccb45a9b7a67e2a3a52a817 |
work_keys_str_mv |
AT huafengliu nonlineardualreconstructionofspectactivityandattenuationimages AT minguo nonlineardualreconstructionofspectactivityandattenuationimages AT zhenghuihu nonlineardualreconstructionofspectactivityandattenuationimages AT pengchengshi nonlineardualreconstructionofspectactivityandattenuationimages AT hongjiehu nonlineardualreconstructionofspectactivityandattenuationimages |
_version_ |
1718414318292172800 |