A right-invariant Riemannian distance on GL`pnq and hypothesis testing on Jacobian matrices
نویسندگان
چکیده
Tensor-based morphometry (TBM) studies encode the anatomical information in spatial deformations, which are locally characterized by Jacobian matrices. Current methods perform statistical analysis on incomplete features of the Jacobian matrices, such as their determinants or the Cauchy-Green deformation tensor. In this work we propose the use of a right-invariant Riemannian distance on GL`pnq, providing more information about the local deformation than previous approaches.
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