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

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dc.creator Núñez de Murga, Jorge, 1955-
dc.creator Llacer, Jorge
dc.date 2009-06-08T08:53:48Z
dc.date 2009-06-08T08:53:48Z
dc.date 1990
dc.date.accessioned 2024-12-16T10:18:25Z
dc.date.available 2024-12-16T10:18:25Z
dc.identifier 0278-0062
dc.identifier http://hdl.handle.net/2445/8542
dc.identifier 121500
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/7674
dc.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.
dc.format 13 p.
dc.format application/pdf
dc.language eng
dc.publisher IEEE
dc.relation Reproducció del document publicat a http://dx.doi.org/10.1109/42.56340
dc.relation IEEE Transactions on Medical Imaging, 1990, vol. 9, núm. 2, p. 159-171.
dc.relation http://dx.doi.org/10.1109/42.56340
dc.rights (c) IEEE, 1990
dc.rights info:eu-repo/semantics/openAccess
dc.source Articles publicats en revistes (Física Quàntica i Astrofísica)
dc.subject Estadística bayesiana
dc.subject Tomografia d'emissió
dc.subject Entropia
dc.subject Bayes methods
dc.subject Computerised tomography
dc.subject Entropy
dc.subject Radioisotope scanning and imaging
dc.title A fast Bayesian reconstruction algorithm for emission tomography with entropy prior converging to feasible images
dc.type info:eu-repo/semantics/article
dc.type info:eu-repo/semantics/publishedVersion


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