Geometric Means in a Novel Vector Space Structure on Symmetric Positive-Definite Matrices

Vincent Arsigny (1) , Pierre Fillard (1, 2, 3) , Xavier Pennec (1) , Nicholas Ayache (1)

1 ASCLEPIOS - Analysis and Simulation of Biomedical Images
2 LNAO - Laboratoire de Neuroimagerie Assistée par Ordinateur
3 PARIETAL - Modelling brain structure, function and variability based on high-field MRI data

no abstract

Mots clés: DT-MRI; Tensors; Riemannian geometry; Lie groups; interpolation; Log-Euclidean metrics

Domaines: Imagerie médicale; Modélisation et simulation; Imagerie; Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Vincent Arsigny, Pierre Fillard, Xavier Pennec, Nicholas Ayache. Geometric Means in a Novel Vector Space Structure on Symmetric Positive-Definite Matrices. SIAM Journal on Matrix Analysis and Applications, 2007, 29 (1), pp.328--347. ⟨10.1137/050637996⟩. ⟨inria-00616031⟩