Bayesian estimation of templates in computational anatomy: Difference between revisions

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Revision as of 19:33, 12 July 2020

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{{Main|Computational anatomy}}

[[Statistical shape analysis]] and [[Computational anatomy#Statistical shape theory in computational anatomy|statistical shape theory]] in [[computational anatomy]] (CA) is performed relative to templates, therefore it is a local theory of statistics on shape. [[Computational anatomy#Template Estimation from Populations|Template estimation]] in [[computational anatomy]] from populations of observations is a fundamental operation ubiquitous to the discipline. Several methods for template estimation based on [[Bayesian probability|Bayesian]] probability and statistics in the [[Computational anatomy#The random orbit model of computational anatomy|random orbit model of CA]] have emerged for submanifolds<ref>{{Cite journal|title = A Bayesian Generative Model for Surface Template Estimation|journal = International Journal of Biomedical Imaging|date = 2010-01-01|issn = 1687-4188|pmc = 2946602|pmid = 20885934|pages = 1–14|volume = 2010|doi = 10.1155/2010/974957|first1 = Jun|last1 = Ma|first2 = Michael I.|last2 = Miller|first3 = Laurent|last3 = Younes}}</ref><ref>{{Cite journal|title = Atlas Generation for Subcortical and Ventricular Structures with its Applications in Shape Analysis|journal = IEEE Transactions on Image Processing|date = 2010-06-01|issn = 1057-7149|pmc = 2909363|pmid = 20129863|pages = 1539–1547|volume = 19|issue = 6|doi = 10.1109/TIP.2010.2042099|first1 = Anqi|last1 = Qiu|first2 = Timothy|last2 = Brown|first3 = Bruce|last3 = Fischl|first4 = Jun|last4 = Ma|first5 = Michael I.|last5 = Miller|bibcode = 2010ITIP...19.1539Q}}</ref> and dense image volumes.<ref>{{Cite journal|title = Bayesian Template Estimation in Computational Anatomy|journal = NeuroImage|date = 2008-08-01|issn = 1053-8119|pmc = 2602958|pmid = 18514544|pages = 252–261|volume = 42|issue = 1|doi = 10.1016/j.neuroimage.2008.03.056|first1 = Jun|last1 = Ma|first2 = Michael I.|last2 = Miller|first3 = Alain|last3 = Trouvé|first4 = Laurent|last4 = Younes}}</ref>

== The deformable template model of shapes and forms via diffeomorphic group actions ==