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Medical Image Analysis 6, 3 (2002) 191-8
Distortion correction and robust tensor estimation for MR diffusion imaging.
J.-F. Mangin 1, 2, 3, C. Poupon 4, C. Clark, D. Le Bihan 2, 5, 6, 7, I. Bloch 8, 9, 10
(2002-09)

This paper presents a new procedure to estimate the diffusion tensor from a sequence of diffusion-weighted images. The first step of this procedure consists of the correction of the distortions usually induced by eddy-current related to the large diffusion-sensitizing gradients. This correction algorithm relies on the maximization of mutual information to estimate the three parameters of a geometric distortion model inferred from the acquisition principle. The second step of the procedure amounts to replacing the standard least squares-based approach by the Geman-McLure M-estimator, in order to reduce outlier-related artefacts. Several experiments prove that the whole procedure highly improves the quality of the final diffusion maps.
1:  Laboratoire de Neuroimagerie Assistée par Ordinateur (LNAO)
CEA : DSV/I2BM/NEUROSPIN
2:  Service Hospitalier Frédéric Joliot (SHFJ)
CEA : DSV/I2BM
3:  Center for Neuroscience and Behavioral Medicine
Children's National Medical Center
4:  Laboratoire d'Imagerie et de Spectroscopie (LRMN)
CEA : DSV/I2BM/NEUROSPIN
5:  Service NEUROSPIN (NEUROSPIN)
CEA : DSV/I2BM
6:  IFR de Neuroimagerie Fonctionnelle (IFR 49)
CEA
7:  Human Brain Research Center [Kyoto] (HBRC)
Kyoto University
8:  Département Traitement du Signal et des Images (TSI)
Télécom ParisTech – CNRS : UMR5141
9:  Laboratoire Traitement et Communication de l'Information [Paris] (LTCI)
Télécom ParisTech – CNRS : UMR5141
10:  QUANTUM (QUANTUM)
Johannes Gutenberg-Universität Mainz
Life Sciences/Bioengineering/Imaging