Statistics on the manifold of multivariate normal distributions: theory and application to diffusion tensor MRI processing

DOI10.1007/s10851-006-6897-zzbMath1478.62387OpenAlexW2044981864MaRDI QIDQ851837

Rachid Deriche, Olivier Faugeras, Mikaël Rousson, Christophe Lenglet

Publication date: 22 November 2006

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-006-6897-z

zbMATH Keywords

Riemannian geometrygeodesicscurvaturecovariance matrixRicci tensormeanFisher information matrixinformation geometrystatisticsmultivariate normal distributiongeodesic distancesymmetric positive-definite matrixdiffusion tensor magnetic resonance imaging

Mathematics Subject Classification ID

Statistics on manifolds (62R30) Image analysis in multivariate analysis (62H35) Computing methodologies for image processing (68U10)

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