A. Anwander, M. Tittgemeyer, D. Y. Von-cramon, A. D. Friederici, and T. R. Knosche, Connectivity-Based Parcellation of Broca's Area, Cerebral Cortex, vol.17, issue.4, pp.816-825, 2007.
DOI : 10.1093/cercor/bhk034

P. J. Basser, J. Mattiello, and D. Lebihan, Estimation of the Effective Self-Diffusion Tensor from the NMR Spin Echo, Journal of Magnetic Resonance, Series B, vol.103, issue.3, pp.247-254, 1994.
DOI : 10.1006/jmrb.1994.1037

URL : https://hal.archives-ouvertes.fr/hal-00349722

P. J. Basser, J. Mattiello, and D. Lebihan, MR diffusion tensor spectroscopy and imaging, Biophysical Journal, vol.66, issue.1, pp.259-267, 1994.
DOI : 10.1016/S0006-3495(94)80775-1

URL : https://hal.archives-ouvertes.fr/hal-00349721

P. J. Basser, J. Mattiello, R. Turner, and D. L. Bihan, Diffusion tensor echo-planar imaging of human brain, Proceedings of the SMRM, p.584, 1993.

S. Basu, T. Fletcher, and R. Whitaker, Rician Noise Removal in Diffusion Tensor MRI, Nineth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'06), Lecture Notes in Computer Science 4191, pp.117-125, 2006.
DOI : 10.1007/11866565_15

C. Beaulieu, The basis of anisotropic water diffusion in the nervous system - a technical review, NMR in Biomedicine, vol.8, issue.7-8, pp.435-455, 2002.
DOI : 10.1002/nbm.782

T. E. Behrens, H. Johansen-berg, S. Jbabdi, M. F. Rushworth, and M. W. Woolrich, Probabilistic diffusion tractography with multiple fibre orientations: What can we gain?, NeuroImage, vol.34, issue.1, pp.144-155, 2007.
DOI : 10.1016/j.neuroimage.2006.09.018

C. K. Chui and G. Chen, Kalman filtering with real-time applications, 1987.
DOI : 10.1007/978-3-662-02508-6

P. A. Cook, Y. Bai, S. Nedjati-gilani, K. K. Seunarine, M. G. Hall et al., Open-source diffusion-mri reconstruction and processing, Proceedings of the 14th International Society of Magnetic Resonance inMedicine, p.2759, 2006.

A. Philip, M. Cook, . Symms, A. Philip, . Boulby et al., Optimal acquisition orders of diffusion-weighted mri measurements, J Magn Reson Imaging, vol.25, issue.5, pp.1051-1058, 2007.

M. Descoteaux, E. Angelino, S. Fitzgibbons, and R. Deriche, Apparent diffusion coefficients from high angular resolution diffusion imaging: Estimation and applications, Magnetic Resonance in Medicine, vol.50, issue.2, pp.395-410, 2006.
DOI : 10.1002/mrm.20948

M. Descoteaux, High Angular Resolution Diffusion MRI: From Local Estimation to Segmentation and Tractography, 2008.
URL : https://hal.archives-ouvertes.fr/tel-00457458

M. Descoteaux, E. Angelino, S. Fitzgibbons, and R. Deriche, Regularized, fast, and robust analytical Q-ball imaging, Magnetic Resonance in Medicine, vol.17, issue.3, pp.497-510, 2007.
DOI : 10.1002/mrm.21277

J. Dubois, C. Poupon, F. Lethimonnier, and D. L. Bihan, Optimized diffusion gradient orientation schemes for corrupted clinical DTI data sets, Magnetic Resonance Materials in Physics, Biology and Medicine, vol.15, issue.3, pp.134-143, 2006.
DOI : 10.1007/s10334-006-0036-0

URL : https://hal.archives-ouvertes.fr/hal-00349659

T. Erber and G. M. Hockney, Complex systems: Equilibrium configurations of n equal charges on a sphere, Advances in Chemical Physics, vol.98, pp.495-594, 1997.

P. Fillard, V. Arsigny, X. Pennec, K. M. Hayashi, P. M. Thompson et al., Measuring brain variability by extrapolating sparse tensor fields measured on sulcal lines, NeuroImage, vol.34, issue.2, pp.639-650, 2007.
DOI : 10.1016/j.neuroimage.2006.09.027

URL : https://hal.archives-ouvertes.fr/inria-00071381

B. Jian, C. Baba, and . Vemuri, A Unified Computational Framework for Deconvolution to Reconstruct Multiple Fibers From Diffusion Weighted MRI, IEEE Transactions on Medical Imaging, vol.26, issue.11, pp.1464-1471, 2007.
DOI : 10.1109/TMI.2007.907552

D. K. Jones, M. A. Horsfield, and A. Simmons, Optimal strategies for measuring diffusion in anisotropic systems by magnetic resonance imaging, Magnetic Resonance in Medicine, vol.8, issue.3, pp.515-525, 1999.
DOI : 10.1002/(SICI)1522-2594(199909)42:3<515::AID-MRM14>3.0.CO;2-Q

D. Lebihan and E. Breton, Imagerie de diffusion in vivo par résonance magnétique nucléaire, C. R. Acad. Sci, pp.1109-1112, 1985.

K. D. Merboldt, W. Hanicke, and J. Frahm, Self-diffusion NMR imaging using stimulated echoes, Journal of Magnetic Resonance (1969), vol.64, issue.3, pp.479-486, 1985.
DOI : 10.1016/0022-2364(85)90111-8

M. E. Moseley, Y. Cohen, J. Mintorovitch, J. Kucharczyk, J. Tsuruda et al., Diffusion-weighted MR imaging of anisotropic water diffusion in cat central nervous system., Radiology, vol.176, issue.2, pp.439-445, 1990.
DOI : 10.1148/radiology.176.2.2367658

P. A. Osment, K. J. Packer, M. J. Taylor, J. J. Attard, T. A. Carpenter et al., NMR Imaging of Fluids in Porous Solids [and Discussion], Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.333, issue.1632, pp.441-452, 1990.
DOI : 10.1098/rsta.1990.0171

N. G. Papadakis, C. D. Murrills, L. D. Hall, C. L. Huang, and T. A. Carpenter, Minimal gradient encoding for robust estimation of diffusion anisotropy???, Magnetic Resonance Imaging, vol.18, issue.6, pp.671-679, 2000.
DOI : 10.1016/S0730-725X(00)00151-X

C. Pierpaoli, P. Jezzard, P. Basser, A. Barnett, and G. D. Chiro, Diffusion tensor MR imaging of the human brain., Radiology, vol.201, issue.3, pp.637-648, 1996.
DOI : 10.1148/radiology.201.3.8939209

C. Poupon, Détection des faisceaux de fibres de la substance blanche pour l'´ etude de la connectivité anatomique cérébrale, 1999.

C. Poupon, F. Poupon, A. Roche, Y. Cointepas, J. Dubois et al., Real-time mr diffusion tensor and q-ball imaging using kalman filtering, 10th International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI'07), pp.27-35, 2007.

C. Poupon, F. Poupon, L. Allirol, and J. Mangin, A database dedicated to anatomo-functional study of human brain connectivity, Twelfth Annual Meeting of the Organization for Human Brain Mapping (HBM), 2006.

C. Poupon, A. Roche, J. Dubois, J. Mangin, and F. Poupon, Real-time MR diffusion tensor and Q-ball imaging using Kalman filtering, Medical Image Analysis, vol.12, issue.5, pp.527-534, 2008.
DOI : 10.1016/j.media.2008.06.004

G. K. Rohde, A. S. Barnett, P. J. Basser, S. Marenco, and C. Pierpaoli, Comprehensive approach for correction of motion and distortion in diffusion-weighted MRI, Magnetic Resonance in Medicine, vol.15, issue.1, pp.103-114, 2004.
DOI : 10.1002/mrm.10677

J. Sijbers, A. J. Den-dekker, J. Van-audekerke, M. Verhoye, and D. Van-dyck, Estimation of the Noise in Magnitude MR Images, Magnetic Resonance Imaging, vol.16, issue.1, pp.87-90, 1998.
DOI : 10.1016/S0730-725X(97)00199-9

D. G. Taylor and M. C. Bushell, The spatial mapping of translational diffusion coefficients by the NMR imaging technique, Physics in Medicine and Biology, vol.30, issue.4, pp.345-349, 1985.
DOI : 10.1088/0031-9155/30/4/009

J. Tournier, F. Calamante, D. G. Gadian, and A. Connelly, Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution, NeuroImage, vol.23, issue.3, pp.1176-1185, 2004.
DOI : 10.1016/j.neuroimage.2004.07.037

J. Tournier, F. Calamante, and A. Connelly, Robust determination of the fibre orientation distribution in diffusion MRI: Non-negativity constrained super-resolved spherical deconvolution, NeuroImage, vol.35, issue.4, pp.1459-1472, 2007.
DOI : 10.1016/j.neuroimage.2007.02.016

D. Tuch, Q-ball imaging, route des Lucioles -BP 93 -06902 Sophia Antipolis Cedex (France) Unité de recherche INRIA Futurs : Parc Club Orsay Université -ZAC des Vignes 4, rue Jacques Monod -91893 ORSAY Cedex, pp.1358-1372, 2004.
DOI : 10.1002/mrm.20279

I. Unité-de-recherche and . Lorraine, Technopôle de Nancy-Brabois -Campus scientifique 615, rue du Jardin Botanique -BP 101 -54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l'Europe -38334 Montbonnot Saint-Ismier (France) Unité de recherche INRIA Rocquencourt, Domaine de Voluceau -Rocquencourt -BP 105 -78153 Le Chesnay Cedex

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