Bayesian Parameter Estimation and Segmentation in the Multi-Atlas Random Orbit Model.

This paper examines the multiple atlas random diffeomorphic orbit model in Computational Anatomy (CA) for parameter estimation and segmentation of subcortical and ventricular neuroanatomy in magnetic resonance imagery. We assume that there exist multiple magnetic resonance image (MRI) atlases, each...

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Autores principales: Xiaoying Tang, Kenichi Oishi, Andreia V Faria, Argye E Hillis, Marilyn S Albert, Susumu Mori, Michael I Miller
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Lenguaje:EN
Publicado: Public Library of Science (PLoS) 2013
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Acceso en línea:https://doaj.org/article/ac57048decb24e1381337bcdb0104d91
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spelling oai:doaj.org-article:ac57048decb24e1381337bcdb0104d912021-11-18T07:41:23ZBayesian Parameter Estimation and Segmentation in the Multi-Atlas Random Orbit Model.1932-620310.1371/journal.pone.0065591https://doaj.org/article/ac57048decb24e1381337bcdb0104d912013-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0065591https://doaj.org/toc/1932-6203This paper examines the multiple atlas random diffeomorphic orbit model in Computational Anatomy (CA) for parameter estimation and segmentation of subcortical and ventricular neuroanatomy in magnetic resonance imagery. We assume that there exist multiple magnetic resonance image (MRI) atlases, each atlas containing a collection of locally-defined charts in the brain generated via manual delineation of the structures of interest. We focus on maximum a posteriori estimation of high dimensional segmentations of MR within the class of generative models representing the observed MRI as a conditionally Gaussian random field, conditioned on the atlas charts and the diffeomorphic change of coordinates of each chart that generates it. The charts and their diffeomorphic correspondences are unknown and viewed as latent or hidden variables. We demonstrate that the expectation-maximization (EM) algorithm arises naturally, yielding the likelihood-fusion equation which the a posteriori estimator of the segmentation labels maximizes. The likelihoods being fused are modeled as conditionally Gaussian random fields with mean fields a function of each atlas chart under its diffeomorphic change of coordinates onto the target. The conditional-mean in the EM algorithm specifies the convex weights with which the chart-specific likelihoods are fused. The multiple atlases with the associated convex weights imply that the posterior distribution is a multi-modal representation of the measured MRI. Segmentation results for subcortical and ventricular structures of subjects, within populations of demented subjects, are demonstrated, including the use of multiple atlases across multiple diseased groups.Xiaoying TangKenichi OishiAndreia V FariaArgye E HillisMarilyn S AlbertSusumu MoriMichael I MillerPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 8, Iss 6, p e65591 (2013)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Xiaoying Tang
Kenichi Oishi
Andreia V Faria
Argye E Hillis
Marilyn S Albert
Susumu Mori
Michael I Miller
Bayesian Parameter Estimation and Segmentation in the Multi-Atlas Random Orbit Model.
description This paper examines the multiple atlas random diffeomorphic orbit model in Computational Anatomy (CA) for parameter estimation and segmentation of subcortical and ventricular neuroanatomy in magnetic resonance imagery. We assume that there exist multiple magnetic resonance image (MRI) atlases, each atlas containing a collection of locally-defined charts in the brain generated via manual delineation of the structures of interest. We focus on maximum a posteriori estimation of high dimensional segmentations of MR within the class of generative models representing the observed MRI as a conditionally Gaussian random field, conditioned on the atlas charts and the diffeomorphic change of coordinates of each chart that generates it. The charts and their diffeomorphic correspondences are unknown and viewed as latent or hidden variables. We demonstrate that the expectation-maximization (EM) algorithm arises naturally, yielding the likelihood-fusion equation which the a posteriori estimator of the segmentation labels maximizes. The likelihoods being fused are modeled as conditionally Gaussian random fields with mean fields a function of each atlas chart under its diffeomorphic change of coordinates onto the target. The conditional-mean in the EM algorithm specifies the convex weights with which the chart-specific likelihoods are fused. The multiple atlases with the associated convex weights imply that the posterior distribution is a multi-modal representation of the measured MRI. Segmentation results for subcortical and ventricular structures of subjects, within populations of demented subjects, are demonstrated, including the use of multiple atlases across multiple diseased groups.
format article
author Xiaoying Tang
Kenichi Oishi
Andreia V Faria
Argye E Hillis
Marilyn S Albert
Susumu Mori
Michael I Miller
author_facet Xiaoying Tang
Kenichi Oishi
Andreia V Faria
Argye E Hillis
Marilyn S Albert
Susumu Mori
Michael I Miller
author_sort Xiaoying Tang
title Bayesian Parameter Estimation and Segmentation in the Multi-Atlas Random Orbit Model.
title_short Bayesian Parameter Estimation and Segmentation in the Multi-Atlas Random Orbit Model.
title_full Bayesian Parameter Estimation and Segmentation in the Multi-Atlas Random Orbit Model.
title_fullStr Bayesian Parameter Estimation and Segmentation in the Multi-Atlas Random Orbit Model.
title_full_unstemmed Bayesian Parameter Estimation and Segmentation in the Multi-Atlas Random Orbit Model.
title_sort bayesian parameter estimation and segmentation in the multi-atlas random orbit model.
publisher Public Library of Science (PLoS)
publishDate 2013
url https://doaj.org/article/ac57048decb24e1381337bcdb0104d91
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