96 citations · 178 across the 27 of their papers we have counts for
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Exploration of Balanced Metrics on Symmetric Positive Definite Matrices
Yann Thanwerdas, Xavier Pennec
Symmetric Positive Definite (SPD) matrices have been used in many fields of medical data analysis. Many Riemannian metrics have been defined on this manifold but the choice of the…
Curvature effects on the empirical mean in Riemannian and affine Manifolds: a non-asymptotic high concentration expansion in the small-sample regime
Xavier Pennec
The asymptotic concentration of the Fr{é}chet mean of IID random variables on a Rieman-nian manifold was established with a central limit theorem by Bhattacharya \& Patrangenaru (B…
Symmetric Algorithmic Components for Shape Analysis with Diffeomorphisms
N. Guigui, Shuman Jia, Maxime Sermesant +1
In computational anatomy, the statistical analysis of temporal deformations and inter-subject variability relies on shape registration. However, the numerical integration and optim…
Is affine invariance well defined on SPD matrices? A principled continuum of metrics
Yann Thanwerdas, Xavier Pennec
Symmetric Positive Definite (SPD) matrices have been widely used in medical data analysis and a number of different Riemannian met-rics were proposed to compute with them. However,…
A model of brain morphological changes related to aging and Alzheimer's disease from cross-sectional assessments
Raphaël Sivera, Hervé Delingette, Marco Lorenzi +2
In this study we propose a deformation-based framework to jointly model the influence of aging and Alzheimer's disease (AD) on the brain morphological evolution. Our approach combi…