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Special Semester on Quantitative Biology analyzed by Mathematical Methods
Linz, October 1, 2007 - January 27, 2008
Diffusion MRI Processing : Models and Algorithms from Images to White Matter Fibers

Workshop on Bioimaging II / PDEs, Mon, 19 Nov, 2007

Speaker: Rachid Deriche

Abstract

Diffusion MRI is a Magnetic Resonance Imaging (MRI) modality able to quantify in vivo and non invasively the diffusion of water molecules in biological tissues such as the white matter in the brain.
In this talk, I will present some variational approaches we developed in the recent years for the estimation, regularization and segmentation of diffusion tensor images (DTI). These algorithms open the possibility of recovering a detailed geometric description of the anatomical connectivity between brain areas and help to distinguish the anatomical structures of the cerebral white matter.
I'll also present and discuss some parts of our recent work on HARDI (High Angular Resolution Diffusion Imaging)
data and will present a simple linear and regularized analytic solution for the Q-ball reconstruction of the Orientation Distribution Function (ODF). Applications to white matter segmentation and tractography will be
considered and will illustrate this talk.

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