A fast Bayesian reconstruction algorithm for emission tomography with entropy prior converging to feasible images

The development and tests of an iterative reconstruction algorithm for emission tomography based on Bayesian statistical concepts are described. The algorithm uses the entropy of the generated image as a prior distribution, can be accelerated by the choice of an exponent, and converges uniformly to...

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Detalles Bibliográficos
Autores: Núñez de Murga, Jorge, 1955-, Llacer, Jorge
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1990
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/8542
Acceso en línea:https://hdl.handle.net/2445/8542
Access Level:acceso abierto
Palabra clave:Estadística bayesiana
Tomografia d'emissió
Entropia
Bayes methods
Computerised tomography
Entropy
Radioisotope scanning and imaging
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spelling A fast Bayesian reconstruction algorithm for emission tomography with entropy prior converging to feasible imagesNúñez de Murga, Jorge, 1955-Llacer, JorgeEstadística bayesianaTomografia d'emissióEntropiaBayes methodsComputerised tomographyEntropyRadioisotope scanning and imagingThe development and tests of an iterative reconstruction algorithm for emission tomography based on Bayesian statistical concepts are described. The algorithm uses the entropy of the generated image as a prior distribution, can be accelerated by the choice of an exponent, and converges uniformly to feasible images by the choice of one adjustable parameter. A feasible image has been defined as one that is consistent with the initial data (i.e. it is an image that, if truly a source of radiation in a patient, could have generated the initial data by the Poisson process that governs radioactive disintegration). The fundamental ideas of Bayesian reconstruction are discussed, along with the use of an entropy prior with an adjustable contrast parameter, the use of likelihood with data increment parameters as conditional probability, and the development of the new fast maximum a posteriori with entropy (FMAPE) Algorithm by the successive substitution method. It is shown that in the maximum likelihood estimator (MLE) and FMAPE algorithms, the only correct choice of initial image for the iterative procedure in the absence of a priori knowledge about the image configuration is a uniform field.IEEE200920091990info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion13 p.application/pdfhttps://hdl.handle.net/2445/8542Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a http://dx.doi.org/10.1109/42.56340IEEE Transactions on Medical Imaging, 1990, vol. 9, núm. 2, p. 159-171.http://dx.doi.org/10.1109/42.56340(c) IEEE, 1990info:eu-repo/semantics/openAccessoai:recercat.cat:2445/85422026-05-29T05:05:01Z
dc.title.none.fl_str_mv A fast Bayesian reconstruction algorithm for emission tomography with entropy prior converging to feasible images
title A fast Bayesian reconstruction algorithm for emission tomography with entropy prior converging to feasible images
spellingShingle A fast Bayesian reconstruction algorithm for emission tomography with entropy prior converging to feasible images
Núñez de Murga, Jorge, 1955-
Estadística bayesiana
Tomografia d'emissió
Entropia
Bayes methods
Computerised tomography
Entropy
Radioisotope scanning and imaging
title_short A fast Bayesian reconstruction algorithm for emission tomography with entropy prior converging to feasible images
title_full A fast Bayesian reconstruction algorithm for emission tomography with entropy prior converging to feasible images
title_fullStr A fast Bayesian reconstruction algorithm for emission tomography with entropy prior converging to feasible images
title_full_unstemmed A fast Bayesian reconstruction algorithm for emission tomography with entropy prior converging to feasible images
title_sort A fast Bayesian reconstruction algorithm for emission tomography with entropy prior converging to feasible images
dc.creator.none.fl_str_mv Núñez de Murga, Jorge, 1955-
Llacer, Jorge
author Núñez de Murga, Jorge, 1955-
author_facet Núñez de Murga, Jorge, 1955-
Llacer, Jorge
author_role author
author2 Llacer, Jorge
author2_role author
dc.subject.none.fl_str_mv Estadística bayesiana
Tomografia d'emissió
Entropia
Bayes methods
Computerised tomography
Entropy
Radioisotope scanning and imaging
topic Estadística bayesiana
Tomografia d'emissió
Entropia
Bayes methods
Computerised tomography
Entropy
Radioisotope scanning and imaging
description The development and tests of an iterative reconstruction algorithm for emission tomography based on Bayesian statistical concepts are described. The algorithm uses the entropy of the generated image as a prior distribution, can be accelerated by the choice of an exponent, and converges uniformly to feasible images by the choice of one adjustable parameter. A feasible image has been defined as one that is consistent with the initial data (i.e. it is an image that, if truly a source of radiation in a patient, could have generated the initial data by the Poisson process that governs radioactive disintegration). The fundamental ideas of Bayesian reconstruction are discussed, along with the use of an entropy prior with an adjustable contrast parameter, the use of likelihood with data increment parameters as conditional probability, and the development of the new fast maximum a posteriori with entropy (FMAPE) Algorithm by the successive substitution method. It is shown that in the maximum likelihood estimator (MLE) and FMAPE algorithms, the only correct choice of initial image for the iterative procedure in the absence of a priori knowledge about the image configuration is a uniform field.
publishDate 1990
dc.date.none.fl_str_mv 1990
2009
2009
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/8542
url https://hdl.handle.net/2445/8542
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a http://dx.doi.org/10.1109/42.56340
IEEE Transactions on Medical Imaging, 1990, vol. 9, núm. 2, p. 159-171.
http://dx.doi.org/10.1109/42.56340
dc.rights.none.fl_str_mv (c) IEEE, 1990
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) IEEE, 1990
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 13 p.
application/pdf
dc.publisher.none.fl_str_mv IEEE
publisher.none.fl_str_mv IEEE
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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