Non-rigid registration of magnetic resonance imaging of brain

This document presents a non-rigid registration framework for the use of brain magnetic resonance (MR) images comparison. More precisely, we want to compare pre-operative and post-operative MR images in order to assess the deformation due to a surgical removal. Consequently, we propose an application of the theory developed in [3], associated with a new matching criterion based on the representation of the gradient in the dual of a RKHS (Reproducing Kernel Hilbert Space). Moreover, all objects are defined from a periodic point of view, allowing the construction of an efficient algorithm. Numerical results are presented.