S. Basu, T. Fletcher, and S. Whitaker, Rician Noise Removal in Diffusion Tensor MRI, MICCAI 2006, pp.117-125, 2006.
DOI : 10.1007/11866565_15

B. M. Damon, Z. Ding, A. W. Anderson, A. S. Freyer, and J. C. Gore, Validation of diffusion tensor MRI-based muscle fiber tracking, Magnetic Resonance in Medicine, vol.35, issue.1, pp.97-104, 2002.
DOI : 10.1002/mrm.10198

P. T. Fletcher and S. Joshi, Principal Geodesic Analysis on Symmetric Spaces: Statistics of Diffusion Tensors, 2004.
DOI : 10.1007/978-3-540-27816-0_8

P. T. Fletcher and S. Joshi, Riemannian geometry for the statistical analysis of diffusion tensor data, Signal Processing, vol.87, issue.2, pp.250-262, 2007.
DOI : 10.1016/j.sigpro.2005.12.018

K. M. Hasan, P. J. Basser, D. L. Parker, and A. L. Alexander, Analytical Computation of the Eigenvalues and Eigenvectors in DT-MRI, Journal of Magnetic Resonance, vol.152, issue.1, pp.41-47, 2001.
DOI : 10.1006/jmre.2001.2400

S. Helgason, Groups and Geometric Analysis, 1984.
DOI : 10.1090/surv/083

P. T. Kim, D. Richards, and . P. St, Deconvolution Density Estimation on the Space of Positive Definite Symmetric Matrices, Nonparametric Statistics and Mixture Models, 2007.
DOI : 10.1142/9789814340564_0010

V. Koltchinskii, L. Sakhanenko, and S. Cao, Integral curves of noisy vector fields and statistical problems in diffusion tensor imaging: Nonparametric kernel estimation and hypotheses testing, The Annals of Statistics, vol.35, issue.4, pp.1576-1607, 2007.
DOI : 10.1214/009053607000000073

L. Bihan and D. , Diffusion and Perfusion Magnetic Resonance Imaging, Journal of Computer Assisted Tomography, vol.19, issue.5, 1995.
DOI : 10.1097/00004728-199509000-00032

URL : https://hal.archives-ouvertes.fr/hal-00350000

P. M. Matthews and D. L. Arnold, Magnetic resonance imaging of multiple sclerosis: new insights linking pathology to clinical evolution, Current Opinion in Neurology, vol.14, issue.3, pp.279-287, 2001.
DOI : 10.1097/00019052-200106000-00004

R. J. Muirhead, Aspects of Multivariate Statistics, 1978.

T. Neumann-haefelin, M. E. Moseley, and G. W. Albers, New magnetic resonance imaging methods for cerebrovascular disease: Emerging clinical applications, Annals of Neurology, vol.9, issue.5, pp.559-570, 2000.
DOI : 10.1002/1531-8249(200005)47:5<559::AID-ANA2>3.0.CO;2-S

N. Pomara, D. T. Crandalla, S. J. Choia, G. Johnson, and K. O. Lim, White matter abnormalities in HIV-1 infection: A diffusion tensor imaging study, Psychiatry Research: Neuroimaging, vol.106, issue.1, pp.15-24, 2001.
DOI : 10.1016/S0925-4927(00)00082-2

M. Rosenbloom, J. V. Sullivan, and A. Pfefferbaum, Using magnetic resonance imaging and diffusion tensor imaging to assess brain damage in alcoholics, Alcohol Research & Health, vol.27, issue.2, pp.146-152, 2003.

A. Schwartzman, Random Ellipsoids and False Discovery Rates: Statistics for Diffusion Tensor Imaging Data, 2006.

A. Schwartzman, R. F. Dougherty, and J. E. Taylor, Cross-subject comparison of principal diffusion direction maps, Magnetic Resonance in Medicine, vol.28, issue.6, pp.1423-1431, 2005.
DOI : 10.1002/mrm.20503

A. Terras, Harmonic Analysis on Symmetric Spaces and Applications, II, 1988.
DOI : 10.1007/978-1-4612-3820-1

H. Zhu, H. Zhang, J. G. Ibrahim, and B. G. Peterson, Statistical Analysis of Diffusion Tensors in Diffusion-Weighted Magnetic Resonance Imaging Data, Journal of the American Statistical Association, vol.102, issue.480, pp.1085-1102, 2007.
DOI : 10.1198/016214507000000581