2017
DOI: 10.1016/j.media.2016.08.011
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A Bayesian framework for joint morphometry of surface and curve meshes in multi-object complexes

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Cited by 24 publications
(21 citation statements)
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“…To this aim, digital brain models have been developed in recent years, as a way to synthetize a 3D geometrical model summarizing the anatomical invariants in a group of subjects [566569]. This model has been extended recently to functional data [570, 571].…”
Section: Spatiotemporal Modeling Of Multimodal Longitudinal Data Analmentioning
confidence: 99%
See 1 more Smart Citation
“…To this aim, digital brain models have been developed in recent years, as a way to synthetize a 3D geometrical model summarizing the anatomical invariants in a group of subjects [566569]. This model has been extended recently to functional data [570, 571].…”
Section: Spatiotemporal Modeling Of Multimodal Longitudinal Data Analmentioning
confidence: 99%
“…These diagnostic models are based on the Bayesian inference of non-linear mixed-effects models, which complement the usual linear mixed-effects models typically used in biostatistics [569, 572]. This combination of statistical and geometric approaches accounts for the inherent structure in the data such as the specific organization of the brain anatomy as prior knowledge.…”
Section: Spatiotemporal Modeling Of Multimodal Longitudinal Data Analmentioning
confidence: 99%
“…Subsequently, the models were rigidly aligned to improve the outcome of the procedure. The Bayesian atlas method was used [38] with 108 control points to parametrize the deformations. The resulting template is shown in Figure 3 along with the original models.…”
Section: Model Constructionmentioning
confidence: 99%
“…Furthermore, we propose to model grey matter structures as varifolds [32], [33], the non-oriented extension of the framework of currents [7], [34], or landmarks, if correspondences across subjects are available. The atlas is estimated within a Bayesian framework based on a generative model similar to the one proposed in [35]- [37] and adapted to double diffeomorphisms.…”
Section: B Our Contributionmentioning
confidence: 99%
“…Since the maximization of Eq.3 is not tractable analytically, we use the EM (Expectation Maximization) algorithm where we approximate the conditional distribution of the E step with a Dirac distribution at its mode. See [35], [37] for more information about the E and M step. Assuming that the template T has a non-informative prior distribution, it results:…”
Section: All αmentioning
confidence: 99%