Bayesian template estimation in computational anatomy
نویسندگان
چکیده
منابع مشابه
Bayesian template estimation in computational anatomy
Templates play a fundamental role in Computational Anatomy. In this paper, we present a Bayesian model for template estimation. It is assumed that observed images I(1), I(2),...,I(N) are generated by shooting the template J through Gaussian distributed random initial momenta theta(1), theta(2),...,theta(N). The template is J modeled as a deformation from a given hypertemplate J(0) with initial ...
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Computational anatomy is the science of anatomical shape examined by deforming a template organ into a subject organ. It compares and contrasts organ shapes to inspire personalized treatments or find group differences in case-control studies. Independently of the transformation model used, the task of finding deformations between organs is a statistical task concerned with estimating parameters...
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In this article, we study the consistency of the template estimation with the Fréchet mean in quotient spaces. The Fréchet mean in quotient spaces is often used when the observations are deformed or transformed by a group action. We show that in most cases this estimator is actually inconsistent. We exhibit a sufficient condition for this inconsistency, which amounts to the folding of the distr...
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A central notion in Computational Anatomy is the generation of registration maps,mapping a large set of anatomical data to a common coordinate system to study intra-population variability and inter-population differences. In previous work [1, 2] methods for estimating the common coordinate system or the template given a collection imaging data were presented based on the notion of Fréchet mean ...
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ژورنال
عنوان ژورنال: NeuroImage
سال: 2008
ISSN: 1053-8119
DOI: 10.1016/j.neuroimage.2008.03.056