Variational Principles for Diffusion Weighted MRI Restoration and Segmentation

Abstract

Diffusion tensor MRI is a relatively new MR image modality from which anisotropy of water diffusion can be inferred quantitatively, thus providing a method to study the tissue micro-structure e.g., white matter connectivity in the brain in vivo. Diffusion weighted echo intensity image Sl and the diffusion tensor D are related through the Stejskal-Tanner equation 3