Riemannian processing of tensors for diffusion MRI and computational anatomy of the brain. (Traitement riemannien des tenseurs pour l'IRM de diffusion et l'anatomie algorithmique du cerveau)

Symmetric, positive-de nite matrices, or tensors, are nowadays a common geometrical tool for image processing and analysis. The recent emergence of di usion tensor MRI (DT-MRI or DTI) and computational anatomy (CA) brought importance of tensors out to the medical community. In DTI, tensors are covariance matrices of the Brownian motion of water molecules… CONTINUE READING