D. Wassermann, M. Descoteaux, and R. Deriche, Diffusion Maps Segmentation of Magnetic Resonance Q-Ball Imaging, 2007 IEEE 11th International Conference on Computer Vision, 2007.
DOI : 10.1109/ICCV.2007.4409166

R. Deriche and M. Descoteaux, SPLITTING TRACKING THROUGH CROSSING FIBERS: MULTIDIRECTIONAL Q-BALL TRACKING, 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2007.
DOI : 10.1109/ISBI.2007.356962

M. Descoteaux, P. Savadjiev, J. Campbell, G. Bruce-pike, K. Siddiqi et al., VALIDATION AND COMPARISON OF ANALYTICAL Q-BALL IMAGING METHODS, 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2007.
DOI : 10.1109/ISBI.2007.357044

M. Descoteaux, R. Deriche, and C. Lenglet, Diffusion Tensor Sharpening Improves White Matter Tractography. SPIE Image Processing: Medical Imaging, 2007.
DOI : 10.1117/12.708988

M. Descoteaux, E. Angelino, S. Fitzgibbons, and R. Deriche, A Fast and Robust ODF Estimation Algorithm in Q-Ball Imaging, 3rd IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006., 2006.
DOI : 10.1109/ISBI.2006.1624857

M. Descoteaux, E. Angelino, S. Fitzgibbons, and R. Deriche, Apparent Diffusion Profile Estimation From High Angular Resolution Diffusion Images. SPIE Image Processing: Medical Imaging, 2006.
DOI : 10.1117/12.652687

A. Anwander, M. Descoteaux, and R. Deriche, Probabilistic Q- Ball Tractography Solves Crossings of Callosal Fibers, Human Brain Mapping, 2007.

M. Descoteaux and R. Deriche, Sharpening Improves Clinically Feasible Q-Ball Imaging Reconstructions, Joint Annual Meeting ISMRM-ESMRMB, 2007.

P. Savadjiev, J. Campbell, M. Descoteaux, R. Deriche, G. Bruce-pike et al., Disambiguation of Complex Subvoxel Fibre Configurations in High Angular Resolution Fibre Tractography, Joint Annual Meeting ISMRM-ESMRMB, 2007.

M. Descoteaux, R. Deriche, P. Savadjiev, J. Campbell, B. Pike et al., Analytic ODF Estimation and Validation in Q-Ball Imaging. 12th annual meeting of the Organization for, Human Brain Mapping (HBM), 2006.

D. Wassermann, M. Descoteaux, and R. Deriche, Recovering cerebral white matter structures with Spectral Clustering of Diffusion MRI Data, INRIA Research Report, vol.6351, 2007.

M. Descoteaux, R. Deriche, and A. Anwander, Deterministic and Probabilistic Q-Ball Tractography: from Diffusion to Sharp Fiber Distributions, INRIA Research Report, vol.6273, 2007.

M. Descoteaux and R. Deriche, Q-Ball Images Segmentation Using Region-Based Statistical Surface Evolution, INRIA Research Report, vol.6257, 2007.
DOI : 10.1007/978-3-540-75759-7_93

URL : https://hal.archives-ouvertes.fr/inria-00165832

M. Descoteaux, E. Angelino, S. Fitzgibbons, and R. Deriche, A Linear and Regularized ODF estimation algorithm to recover multiple fibers in Q-Ball Imaging, INRIA Research Report, vol.5768, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00070253

M. Descoteaux, E. Angelino, S. Fitzgibbons, and R. Deriche, Apparent Diffusion Coefficients from High Angular Resolution Diffusion Images: Estimation and Applications, INRIA Research Report, vol.5681, 2005.
DOI : 10.1002/mrm.20948

URL : https://hal.archives-ouvertes.fr/inria-00070332

A. L. Alexander, K. M. Hasan, M. Lazar, J. S. Tsuruda, and D. L. Parker, Analysis of partial volume effects in diffusion-tensor MRI, Magnetic Resonance in Medicine, vol.37, issue.5, pp.770-780, 2001.
DOI : 10.1002/mrm.1105

D. Alexander, Multiple-fibre reconstruction algorithms for diffusion MRI, Annals of the New York Academy of Sciences, vol.104636, pp.113-133, 2005.

D. Alexander, An Introduction to Computational Diffusion MRI: the Diffusion Tensor and Beyond, 2006.
DOI : 10.1007/3-540-31272-2_5

D. Alexander and G. Barker, Optimal imaging parameters for fiber-orientation estimation in diffusion MRI, NeuroImage, vol.27, issue.2, pp.357-367, 2005.
DOI : 10.1016/j.neuroimage.2005.04.008

D. Alexander, G. Barker, and S. Arridge, Detection and modeling of non-Gaussian apparent diffusion coefficient profiles in human brain data, Magnetic Resonance in Medicine, vol.46, issue.2, pp.331-340, 2002.
DOI : 10.1002/mrm.10209

D. C. Alexander, Maximum Entropy Spherical Deconvolution for Diffusion MRI, pp.76-87, 2005.
DOI : 10.1007/11505730_7

A. Anderson, Measurements of Fiber Orientation Distributions Using High Angular Resolution Diffusion Imaging'. Magnetic Resonance in Medicine 54, pp.1194-1206, 0199.

G. Andrews, R. Askey, and R. Roy, Special Functions, 1999.

A. Anwander, M. Descoteaux, and R. Deriche, Probabilistic Q-Ball Tractography Solves Crossings of Callosal Fibers, Human Brain Mapping, vol.236, 2007.

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

V. Arsigny, Processing Data in Lie Groups: An Algebraic Approach. Application to Non-Linear Registration and Diffusion Tensor MRI, 2006.
URL : https://hal.archives-ouvertes.fr/tel-00121162

V. Arsigny, P. Fillard, X. Pennec, and N. Ayache, Log-Euclidean metrics for fast and simple calculus on diffusion tensors, Magnetic Resonance in Medicine, vol.52, issue.2, pp.411-421, 2006.
DOI : 10.1002/mrm.20965

URL : https://hal.archives-ouvertes.fr/inria-00502678

Y. Assaf and P. Basser, Composite hindered and restricted model of diffusion (CHARMED) MR imaging of the human brain, NeuroImage, vol.27, issue.1, pp.48-58, 2005.
DOI : 10.1016/j.neuroimage.2005.03.042

Y. Assaf, R. Z. Freidlin, G. K. Rohde, and P. J. Basser, New Modeling and Experimental Framework to Characterize Hindered and Restrcited Water Diffusion in Brain White Matter, Magnetic Resonance in Medicine, vol.5255, pp.965-978, 2004.

Y. Assaf, A. Mayk, and Y. Cohen, Displacement Imaging of Spinal Cord Using q-Space Diffusion-Weighted MRI', Magnetic Resonance in Medicine, vol.4451, pp.713-722, 2000.

G. Backus, Geophysical interpolation of measurements of average phase velocities of surface waves over great circular and semi-circular paths, Bulletin of the Seismological Society of America, vol.54110, pp.571-610, 1964.

A. Barmpoutis, B. Jian, and B. C. Vemuri, Symmetric Positive 4th Order Tensors & their Estimation from Diffusion Weighted MRI'. In: Information Processing in Medical Imaging (IPMI), 2007.
DOI : 10.1007/978-3-540-73273-0_26

P. Basser, Relationships between diffusion tensor andq-space MRI, Magnetic Resonance in Medicine, vol.111, issue.2, pp.392-397, 2002.
DOI : 10.1002/mrm.10052

P. Basser, J. Mattiello, and D. Lebihan, Diagonal and off-diagonal components of the self-diffusion tensor: their relation to and estimation from the NMR spinecho signal'. In: 11th Society of Magnetic Resonance in Medicine Meeting, p.1222, 1992.

P. Basser, J. Mattiello, and D. Lebihan, Estimation of the effective selfdiffusion tensor from the NMR spin echo', Journal of Magnetic Resonance B, vol.3, issue.107, pp.247-254, 1994.
URL : https://hal.archives-ouvertes.fr/hal-00349722

P. 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. Basser, J. Mattiello, R. Turner, and D. L. Bihan, Diffusion tensor echoplanar imaging of human brain, Proceedings of the SMRM. p. 584, pp.15-44, 1993.

P. Basser, S. Pajevic, C. Pierpaoli, J. Duda, and A. Aldroubi, In vivo fiber tractography using DT-MRI data, Magnetic Resonance in Medicine, vol.40, issue.4, pp.625-632, 2000.
DOI : 10.1002/1522-2594(200010)44:4<625::AID-MRM17>3.0.CO;2-O

P. Basser and C. Pierpaoli, Microstructural and Physiological Features of Tissues Elucidated by Quantitative Diffusion Tensor MRI', Journal of Magnetic Resonance, vol.11175, issue.3, pp.209-219, 1996.

P. J. Basser and D. K. Jones, Diffusion-tensor MRI: theory, experimental design and data analysis - a technical review, NMR in Biomedicine, vol.20, issue.7-8, pp.456-467, 2002.
DOI : 10.1002/nbm.783

P. J. Basser and S. Pajevic, Spectral decomposition of a 4th-order covariance tensor: Applications to diffusion tensor MRI, Signal Processing, vol.87, issue.2, pp.220-236, 2007.
DOI : 10.1016/j.sigpro.2006.02.050

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, 0194.
DOI : 10.1016/j.neuroimage.2006.09.018

T. E. Behrens, M. W. Woolrich, M. Jenkinson, H. Johansen-berg, R. G. Nunes et al., Characterization and propagation of uncertainty in diffusion-weighted MR imaging, Magnetic Resonance in Medicine, vol.36, issue.5, pp.1077-1088, 2003.
DOI : 10.1002/mrm.10609

Ø. Bergmann, G. Kindlmann, A. Lundervold, and C. Westin, Diffusion ktensor estimation from Q-ball imaging using discretized principal axes, Nineth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'06, pp.268-275, 2006.
DOI : 10.1007/11866763_33

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.298.1420

R. Blyth, P. Cook, and D. Alexander, Tractography with Multiple Fibre Directions, Proceedings of the International Society of Magnetic Resonance in Medicine, p.240, 2003.

C. Brechbuhler, G. Gerig, and O. Kubler, Parametrization of Closed Surfaces for 3D Shape Description, Computer Vision and Image Understanding, vol.6168, pp.154-170, 1995.

T. Bulow, Spherical diffusion for 3D surface smoothing, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.26, issue.12, pp.1650-1654, 2004.
DOI : 10.1109/TPAMI.2004.129

P. Callaghan, Principles of nuclear magnetic resonance microscopy, p.51, 1991.

P. T. Callaghan, C. D. Eccles, and Y. Xia, RAPID COMMUNICATION: NMR microscopy of dynamic displacements: k-space and q-space imaging', Journal of Physics E Scientific Instruments, vol.2148, pp.820-822, 1988.

J. Campbell, K. Siddiqi, V. Rymar, A. Sadikot, and G. Pike, Flow-based fiber tracking with diffusion tensor and q-ball data: Validation and comparison to principal diffusion direction techniques, NeuroImage, vol.27, issue.4, pp.725-736, 2005.
DOI : 10.1016/j.neuroimage.2005.05.014

J. S. Campbell, Diffusion Imaging of White Matter Fiber Tracts, pp.241-252, 2004.

J. S. Campbell, P. Savadjiev, K. Siddiqi, and G. B. Pike, Validation and Regularization in Diffusion MRI Tractography, 3rd IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006., pp.351-354, 2006.
DOI : 10.1109/ISBI.2006.1624925

H. Y. Carr and E. M. Purcell, Effects of Diffusion on Free Precession in Nuclear Magnetic Resonance Experiments, Physical Review, vol.94, issue.3, pp.630-638, 1954.
DOI : 10.1103/PhysRev.94.630

M. Catani, R. J. Howard, S. Pajevic, and D. K. Jones, Virtual in Vivo Interactive Dissection of White Matter Fasciculi in the Human Brain, NeuroImage, vol.17, issue.1, pp.77-94, 2002.
DOI : 10.1006/nimg.2002.1136

M. Cercignani and M. Horsfield, The physical basis of diffusion-weighted MRI, Journal of the Neurological Sciences, vol.186, issue.1, pp.11-14, 2001.
DOI : 10.1016/S0022-510X(01)00486-5

T. Chan and L. Vese, Active contours without edges, IEEE Transactions on Image Processing, vol.10, issue.2, pp.266-277, 2001.
DOI : 10.1109/83.902291

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.1828

Y. Chao, C. Yang, K. Cho, C. Yeh, K. Chou et al., Probabilistic Anatomical Connection Derived from QBI with MFACT Approach, 2007 Joint Meeting of the 6th International Symposium on Noninvasive Functional Source Imaging of the Brain and Heart and the International Conference on Functional Biomedical Imaging, 2007.
DOI : 10.1109/NFSI-ICFBI.2007.4387698

Y. Chao, C. Yeh, K. Cho, J. Chen, and C. Lin, Multiple Streamline Tractography Approach with High Angular Resolution Diffusion Imaging Data, Proceedings of the International Society of Magnetic Resonance in Medicine, p.1550, 2007.

C. Chefd-'hotel, D. Tschumperlé, R. Deriche, and O. Faugeras, Regularizing Flows for Constrained Matrix-Valued Images', Journal of Mathematical Imaging and Vision, vol.2099, issue.176, pp.147-162, 2004.

Y. Chen, W. Guo, Q. Zeng, X. Yan, F. Huang et al., Estimation, smoothing, and characterization of apparent diffusion coefficient profiles from high angular resolution DWI, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004., pp.588-593, 2004.
DOI : 10.1109/CVPR.2004.1315085

Y. Chen, W. Guo, Q. Zeng, X. Yan, M. Rao et al., Apparent Diffusion Coefficient Approximation and Diffusion Anisotropy Characterization in DWI, Information Processing in Medical Imaging, pp.246-257, 2005.
DOI : 10.1007/11505730_21

J. D. Clayden, M. E. Bastin, and A. J. Storkey, Improved segmentation reproducibility in group tractography using a quantitative tract similarity measure, NeuroImage, vol.33, issue.2, pp.482-492, 2006.
DOI : 10.1016/j.neuroimage.2006.07.016

J. D. Clayden, A. J. Storkey, and M. E. Bastin, A Probabilistic Model-Based Approach to Consistent White Matter Tract Segmentation, IEEE Transactions on Medical Imaging, vol.26, issue.11, 2007.
DOI : 10.1109/TMI.2007.905826

Y. Cohen and Y. Assaf, High b-value q-space analyzed diffusion-weighted MRS and MRI in neuronal tissues -a technical review, NMR in Biomedicine, vol.1551, pp.516-542, 2002.

T. Conturo, N. Lori, T. Cull, E. Akbudak, A. Snyder et al., Tracking neuronal fiber pathways in the living human brain, Proceedings of the National Academy of Sciences 96, pp.10422-10427, 1999.
DOI : 10.1073/pnas.96.18.10422

D. Cremers, M. Rousson, and R. Deriche, A Review of Statistical Approaches to Level Set Segmentation: Integrating Color, Texture, Motion and Shape, International Journal of Computer Vision, vol.18, issue.9, pp.195-215, 2007.
DOI : 10.1007/s11263-006-8711-1

J. Dejerine, Anatomie des Centres Nerveux, 1901.

F. Dell-'acqua, G. Rizzo, P. Scifo, R. Clarke, G. Scotti et al., A Model- Based Deconvolution Approach to Solve Fiber Crossing in Diffusion-Weighted MR, 2007.

R. Deriche and M. Descoteaux, SPLITTING TRACKING THROUGH CROSSING FIBERS: MULTIDIRECTIONAL Q-BALL TRACKING, 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, pp.756-759, 2007.
DOI : 10.1109/ISBI.2007.356962

A. Dervieux and F. Thomasset, A finite element method for the simulation of a Rayleigh-Taylor instability, Lecture Notes in Mathematics, vol.216, pp.145-159, 1979.
DOI : 10.1016/0021-9991(79)90086-X

A. Dervieux and F. Thomasset, Multifluid incompressible flows by a finite element method, Lecture Notes in Physics, vol.11150, pp.158-163, 1981.
DOI : 10.1007/3-540-10694-4_22

M. Descoteaux, E. Angelino, S. Fitzgibbons, and R. Deriche, Apparent Diffusion Coefficients from High Angular Resolution Diffusion Images: Estimation and Applications, p.100, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00070332

M. Descoteaux, E. Angelino, S. Fitzgibbons, and R. Deriche, A Linear and Regularized ODF Estimation Algorithm to Recover Multiple Fibers in Q-Ball Imaging, p.136, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00070253

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, E. Angelino, S. Fitzgibbons, and R. Deriche, Apparent Diffusion Coefficients from High Angular Resolution Diffusion Imaging: Estimation and Applications'. In: SPIE Medical Imaging, 2006.
DOI : 10.1002/mrm.20948

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

M. Descoteaux, E. Angelino, S. Fitzgibbons, and R. Deriche, A Fast and Robust ODF Estimation Algorithm in Q-Ball Imaging, 3rd IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006., pp.81-84, 2006.
DOI : 10.1109/ISBI.2006.1624857

M. Descoteaux and R. Deriche, Q-Ball Images Segmentation Using Region- Based Statistical Surface Evolution, 2007.
DOI : 10.1007/978-3-540-75759-7_93

URL : https://hal.archives-ouvertes.fr/inria-00165832

M. Descoteaux and R. Deriche, Segmentation of Q-Ball Images Using Statistical Surface Evolution, Medical Image Computing and Computer-Assisted Intervention (MICCAI), pp.769-776, 2007.
DOI : 10.1007/978-3-540-75759-7_93

M. Descoteaux and R. Deriche, Sharpening Improves Clinically Feasible Q- Ball Imaging Reconstructions, Proceedings of the International Society of Magnetic Resonance in Medicine, p.906, 0197.

M. Descoteaux, R. Deriche, and A. Anwander, Deterministic and Probabilistic Q-Ball Tractography: from Diffusion to Sharp Fiber Distributions, 0197.

M. Descoteaux, R. Deriche, and C. Lenglet, Diffusion Tensor Sharpening Improves White Matter Tractography'. In: SPIE Medical Imaging, pp.212-224, 0197.
DOI : 10.1117/12.708988

M. Descoteaux, P. Savadjiev, J. Campbell, B. Pike, K. Siddiqi et al., VALIDATION AND COMPARISON OF ANALYTICAL Q-BALL IMAGING METHODS, 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2007.
DOI : 10.1109/ISBI.2007.357044

Q. Dong, R. Welsh, T. Chenevert, R. Carlos, P. Maly-sundgren et al., Clinical applications of diffusion tensor imaging, Journal of Magnetic Resonance Imaging, vol.360, issue.1, pp.6-18, 2004.
DOI : 10.1002/jmri.10424

P. Douek, R. Turner, J. Pekar, N. Patronas, and D. Lebihan, MR Color Mapping of Myelin Fiber Orientation, Journal of Computer Assisted Tomography, vol.15, issue.6, 1991.
DOI : 10.1097/00004728-199111000-00003

URL : https://hal.archives-ouvertes.fr/hal-00350066

Q. Doug, R. C. Welsh, T. L. Chenevert, R. C. Carlos, P. Maly-sundgren et al., Clinical applications of diffusion tensor imaging, Journal of Magnetic Resonance Imaging, vol.1975, pp.6-18, 2004.

A. Einstein, Investigations on the Theory of the Brownian Movement, 1956.

C. Feddern, J. Weickert, and B. Burgeth, Level-Set Methods for Tensor-Valued Images, Proceedings of the Second IEEE Workshop on Geometric and Level Set Methods in Computer Vision, pp.65-72, 2003.

C. Feddern, J. Weickert, B. Burgeth, and M. Welk, Curvature-Driven PDE Methods for Matrix-Valued Images, International Journal of Computer Vision, vol.12, issue.1, 2004.
DOI : 10.1007/s11263-006-6854-8

N. M. Ferrers, An elementary treatise on spherical harmonics and subjects connected with them. The Cornell University Library Digital Collections, 1969.

A. Fick, 1855, 'On liquid diffusion, Philos. Mag. J. Sci, vol.1037, pp.31-39

P. Fillard, V. Arsigny, X. Pennec, and N. , Ayache: 2007a, 'Clinical DT-MRI Estimation, Smoothing and Fiber Tracking with Log-Euclidean Metrics, IEEE Transactions on Medical Imaging, vol.2645, issue.245, pp.1472-1482

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

H. M. Fonteijn, F. A. Verstraten, and D. G. Norris, Probabilistic Inference on Q-ball Imaging Data, IEEE Transactions on Medical Imaging, vol.26, issue.11, pp.1515-1524, 2007.
DOI : 10.1109/TMI.2007.907297

L. Frank, Characterization of anisotropy in high angular resolution diffusion-weighted MRI, Magnetic Resonance in Medicine, vol.15, issue.6, pp.1083-1099, 2002.
DOI : 10.1002/mrm.10156

O. Friman, G. Farneback, and C. Westin, A Bayesian approach for stochastic white matter tractography, IEEE Transactions on Medical Imaging, vol.25, issue.8, 2006.
DOI : 10.1109/TMI.2006.877093

O. Friman and C. Westin, Uncertainty in Fiber Tractography, Eighth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'05). Palm, pp.107-114, 2005.

Q. T. Gia, Approximation of linear partial differential equations on spheres, 2003.

H. Gray, Gray's Anatomy of the Human Body, pp.31-32, 1918.

W. Guo, Q. Zeng, Y. Chen, and Y. Liu, Using Multiple Tensor Deflection to Reconstruct White Matter Fiber Traces with Branching, Third IEEE International Symposium on Biomedical Imaging: from Nano to Macro, pp.69-72, 2006.

P. Hagmann, L. Jonasson, T. Deffieux, R. Meuli, J. Thiran et al., Fibertract segmentation in position orientation space from high angular resolution diffusion MRI, NeuroImage, vol.32, issue.2, pp.665-675, 2006.
DOI : 10.1016/j.neuroimage.2006.02.043

P. Hagmann, L. Jonasson, P. Maeder, J. Thiran, V. J. Wedeen et al., Understanding Diffusion MR Imaging Techniques: From Scalar Diffusion-weighted Imaging to Diffusion Tensor Imaging and Beyond, RadioGraphics, vol.26, issue.suppl_1, pp.205-223, 2006.
DOI : 10.1148/rg.26si065510

P. Hansen, The L-curve and its use in the numerical treatment of inverse problems, Computational Inverse Problems in Electrocardiology, pp.119-142, 2001.

H. A. Haroon and G. J. Parker, Using the Wild Bootstrap to Quantify Uncertainty in Fibre Orientations from Q-Ball Analysis, Proceedings of the International Society of Magnetic Resonance in Medicine, pp.903-209, 2007.

C. Hess, P. Mukherjee, E. Han, D. Xu, and D. Vigneron, Q-ball reconstruction of multimodal fiber orientations using the spherical harmonic basis, Magnetic Resonance in Medicine, vol.54, issue.1, pp.104-117, 2006.
DOI : 10.1002/mrm.20931

J. G. Hirsch, S. M. Schwenk, C. Rossmanith, M. G. Hennerici, and A. Gass, Deviations from the diffusion tensor model as revealed by contour plot visualization using high angular resolution diffusion-weighted imaging (HARDI)'. Magnetic Resonance Materials in Physics, Biology and Medicine, vol.1654, issue.2, pp.93-102, 2003.

M. Hlawitschka and G. Scheuermann, HOT-Lines: Tracking Lines in Higher Order Tensor Fields, IEEE Visualization, vol.116, pp.27-34, 2005.

S. Hofer and J. Frahm, Topography of the human corpus callosum revisited???Comprehensive fiber tractography using diffusion tensor magnetic resonance imaging, NeuroImage, vol.32, issue.3, pp.989-994, 2006.
DOI : 10.1016/j.neuroimage.2006.05.044

M. Horsfield and D. K. Jones, Applications of diffusion-weighted and diffusion tensor MRI to white matter diseases - a review, NMR in Biomedicine, vol.13, issue.7-8, pp.570-577, 2002.
DOI : 10.1002/nbm.787

T. Hosey, G. Williams, and R. Ansorge, Inference of multiple fiber orientations in high angular resolution diffusion imaging, Magnetic Resonance in Medicine, vol.56, issue.6, pp.1480-1489, 2005.
DOI : 10.1002/mrm.20723

K. M. Jansons and D. C. Alexander, Persistent angular structure: new insights from diffusion magnetic resonance imaging data, Inverse Problems, vol.19, issue.5, pp.1031-1046, 2003.
DOI : 10.1088/0266-5611/19/5/303

S. Jbabdi, Modélisation de la connectivité anatomique cérébrale et simulation de la croissance des gliomes de bas grade: apport de l'IRM de diffusion, 2006.

S. Jbabdi, P. Bellec, G. Marrelec, V. Perlbarg, and H. Benali, A level set method for building anatomical connectivity paths between brain areas using DTI, 2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano (IEEE Cat No. 04EX821), pp.1024-1027, 2004.
DOI : 10.1109/ISBI.2004.1398715

S. Jbabdi, P. Bellec, R. Toro, J. Daunizeau, M. Pelegrini-issac et al., Accurate Anisotropic Fast Marching for Diffusion-Based Geodesic Tractography, International Journal of Biomedical Imaging, vol.2, issue.1-2, 0209.
DOI : 10.1016/j.biopsych.2005.05.015

S. Jbabdi, M. Woolrich, J. Andersson, and T. Behrens, A Bayesian framework for global tractography, NeuroImage, vol.37, issue.1, pp.116-129, 2007.
DOI : 10.1016/j.neuroimage.2007.04.039

M. Jenkinson, P. Bannister, M. Brady, and S. Smith, Improved Optimization for the Robust and Accurate Linear Registration and Motion Correction of Brain Images, NeuroImage, vol.17, issue.2, pp.825-841, 2002.
DOI : 10.1006/nimg.2002.1132

B. Jian and B. C. Vemuri, Multi-fiber Reconstruction from Diffusion MRI Using Mixture of Wisharts and Sparse Deconvolution, International Conference on Information Processing in Medical Imaging (IPMI). [56, 2007.
DOI : 10.1007/978-3-540-73273-0_32

B. Jian and B. C. 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, 0196.
DOI : 10.1109/TMI.2007.907552

B. Jian, B. C. Vemuri, E. Ozarslan, P. R. Carney, and T. H. Mareci, A novel tensor distribution model for the diffusion-weighted MR signal, NeuroImage, vol.37, issue.1, pp.164-176, 2007.
DOI : 10.1016/j.neuroimage.2007.03.074

L. Jonasson, Segmentation of diffusion weighted MRI using the level set framework, 2006.

L. Jonasson, X. Bresson, P. Hagmann, O. Cuisenaire, R. Meuli et al., White matter fiber tract segmentation in DT-MRI using geometric flows, Medical Image Analysis, vol.9, issue.3, 2005.
DOI : 10.1016/j.media.2004.07.004

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.128.5887

L. Jonasson, X. Bresson, J. Thiran, V. J. Wedeen, and P. Hagmann, Representing Diffusion MRI in 5-D Simplifies Regularization and Segmentation of White Matter Tracts, IEEE Transactions on Medical Imaging, vol.26, issue.11, pp.1547-1554, 2007.
DOI : 10.1109/TMI.2007.899168

L. Jonasson, P. Hagmann, X. Bresson, J. Thiran, and V. J. Wedeen, Representing Diffusion MRI in 5D for Segmentation of White Matter Tracts with a Level Set Method, Infortation Processing in Medical Imaging Lecture Notes in Computer Science, pp.311-320, 2005.
DOI : 10.1007/11505730_26

D. K. Jones, The effect of gradient sampling schemes on measures derived from diffusion tensor MRI: A Monte Carlo study, Magnetic Resonance in Medicine, vol.42, issue.4, pp.807-815, 2004.
DOI : 10.1002/mrm.20033

D. K. Jones and P. J. Basser, 'â ? AIJSquashing Peanuts and Smashing Pumpkinsâ ? A ? I: How Noise Distorts Diffusion-Weighted MR Data, Magnetic Resonance in Medicine, vol.52245, pp.979-993, 2004.

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.42261, issue.262, pp.515-525, 1999.

D. K. Jones and C. Pierpaoli, Confidence mapping in diffusion tensor magnetic resonance imaging tractography using a bootstrap approach, Magnetic Resonance in Medicine, vol.12, issue.5, pp.1143-1149, 2005.
DOI : 10.1002/mrm.20466

D. K. Jones, S. C. Williams, D. Gasston, M. A. Horsfield, A. Simmons et al., Isotropic resolution diffusion tensor imaging with whole brain acquisition in a clinically acceptable time, Human Brain Mapping, vol.17, issue.4, pp.216-230, 2002.
DOI : 10.1002/hbm.10018

E. Kaden, T. R. Knosche, and A. Anwander, Parametric spherical deconvolution: Inferring anatomical connectivity using diffusion MR imaging, NeuroImage, vol.37, issue.2, pp.474-488, 2007.
DOI : 10.1016/j.neuroimage.2007.05.012

URL : http://hdl.handle.net/11858/00-001M-0000-0010-CF44-0

M. H. Khachaturian, J. J. Wisco, and D. S. Tuch, Boosting the sampling efficiency ofq-ball imaging using multiple wavevector fusion, Magnetic Resonance in Medicine, vol.45, issue.2, pp.289-296, 2007.
DOI : 10.1002/mrm.21090

G. Kindlmann, D. B. Ennis, R. T. Whitaker, and C. Westin, Diffusion Tensor Analysis With Invariant Gradients and Rotation Tangents, IEEE Transactions on Medical Imaging, vol.26, issue.11, 2007.
DOI : 10.1109/TMI.2007.907277

G. Kindlmann, R. Estepar, M. Niethammer, S. Haker, and C. Westin, Geodesic-Loxodromes for Diffusion Tensor Interpolation and Difference Measurement, 10th International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'07), pp.1-9, 2007.
DOI : 10.1007/978-3-540-75757-3_1

M. D. King, J. Houseman, D. G. Gadian, and A. Connelly, Localized q-space imaging of the mouse brain, Magnetic Resonance in Medicine, vol.3851, issue.6, pp.930-937, 1997.

M. Koch, D. Norris, and M. Hund-georgiadis, An Investigation of Functional and Anatomical Connectivity Using Magnetic Resonance Imaging, NeuroImage, vol.16, issue.1, pp.241-250, 2002.
DOI : 10.1006/nimg.2001.1052

V. E. Kouby, Y. Cointepas, C. Poupon, D. Rivière, N. Golestani et al., MR diffusion-based inference of a fiber bundle model from a population of subjects, 8th International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI'05, pp.196-204, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00349662

B. W. Kreher, J. F. Schneider, J. Mader, E. Martin, H. J. et al., Il'yasov: 2005, 'Multitensor Approach for Analysis and Tracking of Complex Fiber Configurations, Magnetic Resonance in Medicine, vol.54207, issue.208, pp.1216-1225

P. Lauterbur, Image Formation by Induced Local Interactions: Examples Employing Nuclear Magnetic Resonance, Nature, vol.178, issue.5394, pp.190-191, 1973.
DOI : 10.1038/242190a0

M. Lazar and A. L. Alexander, Bootstrap white matter tractography (BOOT- TRACT)', NeuroImage, vol.24209, pp.524-532, 2005.
DOI : 10.1016/j.neuroimage.2004.08.050

M. Lazar, D. Weinstein, J. Tsuruda, K. Hasan, K. Arfanakis et al., White matter tractography using diffusion tensor deflection, Human Brain Mapping, vol.42, issue.4, pp.306-321, 2003.
DOI : 10.1002/hbm.10102

D. Lebihan, Looking into the functional architecture of the brain with diffusion MRI', Nature Reviews Neuroscience, vol.436, pp.469-480, 2003.

D. Lebihan and E. Breton, Imagerie de diffusion in vivo par résonance magnétique nucléaire, C. R. Acad. Sci. Paris 301 Série II, pp.1109-1112, 1985.

D. Lebihan, E. Breton, D. Lallemand, P. Grenier, E. Cabanis et al., MR imaging of intravoxel incoherent motions: application to diffusion and perfusion in neurologic disorders, Radiology, vol.6142, 1986.

D. Lebihan, J. Mangin, C. Poupon, C. Clark, S. Pappata et al., Diffusion tensor imaging: Concepts and applications, Journal of Magnetic Resonance Imaging, vol.44, issue.4, pp.534-546, 2001.
DOI : 10.1002/jmri.1076

D. Lebihan, C. Poupon, A. Amadon, and F. Lethimonnier, Artifacts and Pitfalls in Diffusion MRI', Journal of Magnetic Resonance Imaging, vol.24223, pp.478-488, 2006.

A. Leemans, Modeling and Processing of Diffusion Tensor Magnetic Resonance Images for Improved Analysis of Brain Connectivity, pp.235-246, 2006.

A. Leemans, J. Sijbers, and P. Parizel, A Graphical Toolbox for Exploratory Diffusion Tensor Imaging and Fiber Tractography, Section for Magnetic Resonance Technologists (SMRT) -14th Annual Meeting in Miami Beach, 2005.

C. Lenglet, Geometric and Variational Methods for Diffusion Tensor MRI Processing, pp.45-60, 2006.
URL : https://hal.archives-ouvertes.fr/tel-00457463

C. Lenglet, M. Rousson, and R. Deriche, DTI segmentation by statistical surface evolution, IEEE Transactions on Medical Imaging, vol.25, issue.6, pp.685-700, 2006.
DOI : 10.1109/TMI.2006.873299

URL : https://hal.archives-ouvertes.fr/inria-00070183

C. Lenglet, M. Rousson, R. Deriche, and O. Faugeras, Statistics on the Manifold of Multivariate Normal Distributions: Theory and Application to Diffusion Tensor MRI Processing, Journal of Mathematical Imaging and Vision, vol.12, issue.1, pp.423-444, 2006.
DOI : 10.1007/s10851-006-6897-z

K. O. Lim and J. A. Helpern, Neuropsychiatric applications of DTI - a review, NMR in Biomedicine, vol.46, issue.7-8, pp.587-593, 2002.
DOI : 10.1002/nbm.789

C. Lin, V. Wedeen, J. Chen, C. Yao, and W. I. Tseng, Validation of diffusion spectrum magnetic resonance imaging with manganese-enhanced rat optic tracts and ex vivo phantoms, NeuroImage, vol.19, issue.3, pp.482-495, 2003.
DOI : 10.1016/S1053-8119(03)00154-X

C. Liu, R. Bammer, B. Acar, and M. E. Moseley, Characterizing non-gaussian diffusion by using generalized diffusion tensors, Magnetic Resonance in Medicine, vol.42, issue.5, pp.924-937, 2004.
DOI : 10.1002/mrm.20071

S. E. Maier, S. Vajapeyam, H. Mamata, C. Westin, F. A. Jolesz et al., Biexponential diffusion tensor analysis of human brain diffusion data, Magnetic Resonance in Medicine, vol.47, issue.2, 2004.
DOI : 10.1002/mrm.10685

P. Mansfield, Multi-planar image formation using NMR spin echoes, Journal of Physics C: Solid State Physics, vol.10, issue.3, pp.55-58, 1977.
DOI : 10.1088/0022-3719/10/3/004

T. Mcgraw, B. Vemuri, B. Yezierski, and T. Mareci, Von Mises-Fisher Mixture Model of the Diffusion ODF, 3rd IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006., 2006.
DOI : 10.1109/ISBI.2006.1624853

T. Mcgraw, B. Vemuri, R. Yezierski, and T. Mareci, Segmentation of High Angular Resolution Diffusion MRI Modeled as a Field of von Mises-Fisher Mixtures, European Conference on Computer Vision (ECCV), pp.463-475, 2006.
DOI : 10.1007/11744078_36

K. 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

S. Mori, B. Crain, V. Chacko, and P. V. , Three-dimensional tracking of axonal projections in the brain by magnetic resonance imaging, Annals of Neurology, vol.40, issue.2, pp.265-269, 1999.
DOI : 10.1002/1531-8249(199902)45:2<265::AID-ANA21>3.0.CO;2-3

S. Mori and P. C. Van-zijl, Fiber tracking: principles and strategies - a technical review, NMR in Biomedicine, vol.14, issue.7-8, pp.468-480, 2002.
DOI : 10.1002/nbm.781

M. Moseley, Y. Cohen, J. Mintorovitch, J. Kucharczyk, J. Tsuruda et al., Evidence of Anisotropic Self-Diffusion, Radiology, vol.1763, issue.12, pp.439-445, 1990.

J. Neil, J. Miller, P. Mukherjee, and P. S. Huppi, Diffusion tensor imaging of normal and injured developing human brain - a technical review, NMR in Biomedicine, vol.107, issue.7-8, pp.543-552, 2002.
DOI : 10.1002/nbm.784

C. H. Neuman, Spin echo of spins diffusing in a bounded medium, The Journal of Chemical Physics, vol.60, issue.11, pp.4508-4511, 1974.
DOI : 10.1063/1.1680931

R. Nieuwenhuys, J. Voogd, and C. Van-huijzen, The Human Central Nervous System. A Synopsis and Atlas, 1981.

O. Donnell and L. J. , Cerebral White Matter Analysis Using Diffusion Imaging, Massachusetts Institute of Technology, vol.28, pp.246-254, 2006.

O. Donnell, L. J. , and C. Westin, Automatic Tractography Segmentation Using a High-Dimensional White Matter Tracts, IEEE Transactions on Medical Imaging, vol.26246, issue.254, pp.1562-1575, 2007.

S. Osher and J. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988.
DOI : 10.1016/0021-9991(88)90002-2

P. Osment, K. Packer, M. Taylor, J. J. Attard, T. A. Carpenter et al., NMR Imaging of Fluids in Porous Solids, 1990.

E. Ozarslan and T. Mareci, Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging, Magnetic Resonance in Medicine, vol.48, issue.5, pp.955-965, 2003.
DOI : 10.1002/mrm.10596

E. Ozarslan and T. H. Mareci, Anisotropy as a Certainty Measure in terms of Entropy, Proceedings of the International Society of Magnetic Resonance in Medicine, p.249, 2003.

E. Ozarslan, T. Shepherd, B. Vemuri, S. Blackband, and T. Mareci, Fast Orientation Mapping from HARDI, In: MICCAI, vol.374969, issue.107, pp.156-163, 2005.
DOI : 10.1007/11566465_20

E. Ozarslan, T. Shepherd, B. Vemuri, S. Blackband, and T. Mareci, Resolution of complex tissue microarchitecture using the diffusion orientation transform (DOT), NeuroImage, vol.31, issue.3, pp.1086-1103, 2006.
DOI : 10.1016/j.neuroimage.2006.01.024

E. Ozarslan, B. Vemuri, and T. Mareci, Generalized scalar measures for diffusion MRI using trace, variance, and entropy, Magnetic Resonance in Medicine, vol.40, issue.4, pp.866-876, 2005.
DOI : 10.1002/mrm.20411

E. Ozarslan, B. C. Vemuri, and T. Mareci, Fiber orientation mapping using generalized diffusion tensor imaging, 2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano (IEEE Cat No. 04EX821), pp.1036-1039, 2004.
DOI : 10.1109/ISBI.2004.1398718

E. Ozarslan, B. C. Vemuri, and T. Mareci, Fiber orientation mapping using generalized diffusion tensor imaging, 2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano (IEEE Cat No. 04EX821), pp.1036-1038, 2004.
DOI : 10.1109/ISBI.2004.1398718

S. Pajevic and C. Pierpaoli, Color schemes to represent the orientation of anisotropic tissues from diffusion tensor data: application to white matter fiber tract mapping in the human brain, Magnetic Resonance in Medicine, vol.43, issue.6, 1999.
DOI : 10.1002/1522-2594(200006)43:6<921::AID-MRM23>3.0.CO;2-I

N. Paragios and R. Deriche, Geodesic Active Regions: A New Framework to Deal with Frame Partition Problems in Computer Vision, Journal of Visual Communication and Image Representation, vol.13, issue.1-2, pp.249-268, 2002.
DOI : 10.1006/jvci.2001.0475

G. Parker and D. Alexander, Probabilistic Monte Carlo Based Mapping of Cerebral Connections Utilising Whole-Brain Crossing Fibre Information, pp.684-695, 2003.
DOI : 10.1007/978-3-540-45087-0_57

S. Peleda, O. Friman, F. Jolesz, and C. Westin, Geometrically constrained two-tensor model for crossing tracts in DWI, Magnetic Resonance Imaging, vol.24, issue.9, pp.1263-1270, 2006.
DOI : 10.1016/j.mri.2006.07.009

M. Perrin, Imagerie de diffusion à haute résolution angulaire : étude du modèle q-ball oar couplage simulations -fantôme et applications au suivi de fibres et à la parcellisation du cortex, pp.31-241, 2006.

M. Perrin, C. Poupon, Y. Cointepas, B. Rieul, N. Golestani et al., Fiber Tracking in q-Ball Fields Using Regularized Particle Trajectories, Information Processing in Medical Imaging, pp.52-63, 2005.
DOI : 10.1007/11505730_5

URL : https://hal.archives-ouvertes.fr/hal-00349651

C. Pierpaoli and P. J. Basser, Toward a quantitative assessment of diffusion anisotropy, Magnetic Resonance in Medicine, vol.222, issue.6, pp.893-906, 1996.
DOI : 10.1002/mrm.1910360612

C. Poupon, Détection des faisceaux de fibres de la substance blanche pour l'étude de la connectivité anatomique cérébrale, Ecole Nationale Supérieure des Télécommunications, vol.4, issue.24, pp.45-48, 1999.

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). [18, pp.152-153, 2006.

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.

K. Pribam and P. Maclean, Neuronographic Analysis of Medial and Basal Cerebral Cortex, J. of Neurophysiology, vol.163, issue.11, pp.324-340, 1953.

M. A. Joyce and . Ron, Abnormal brain connectivity in first-episode psychosis: A diffusion MRI tractography study of the corpus callosum, NeuroImage, vol.35232, issue.2, pp.458-466, 2007.

E. Purcell, H. Torrey, and R. Pound, Resonance Absorption by Nuclear Magnetic Moments in a Solid, Physical Review, vol.69, issue.1-2, pp.37-38, 1946.
DOI : 10.1103/PhysRev.69.37

A. Ramirez-manzanares and M. Rivera, Basis Tensor Decomposition for Restoring Intra-Voxel Structure and Stochastic Walks for Inferring Brain Connectivity in DT-MRI, International Journal of Computer Vision, vol.12, issue.1, pp.77-92, 2006.
DOI : 10.1007/s11263-006-6855-7

A. Ramirez-manzanares, M. Rivera, B. Vemuri, P. Carney, and T. Mareci, Diffusion Basis Functions Decomposition for Estimating White Matter Intra-Voxel Fiber Geometry, IEEE Transactions on Medical Imaging p. in press, vol.55, issue.56, p.167, 2007.

M. Rao, Y. Chen, B. Vemuri, and F. Wang, Cumulative Residual Entropy: A New Measure of Information, IEEE Transactions on Information Theory, vol.50, issue.6, pp.1220-1228, 2004.
DOI : 10.1109/TIT.2004.828057

M. Rousson, Cue Integration and Front Evolution in Image Segmentation, pp.156-163, 2004.
URL : https://hal.archives-ouvertes.fr/tel-00327560

M. Rousson, C. Lenglet, and R. Deriche, Level Set and Region Based Surface Propagation for Diffusion Tensor MRI Segmentation, Prague, vol.145, issue.147, pp.149-150, 2004.
DOI : 10.1007/978-3-540-27816-0_11

K. E. Sakaie and M. J. Lowe, An objective method for regularization of fiber orientation distributions derived from diffusion-weighted MRI, NeuroImage, vol.34, issue.1, pp.169-176, 0197.
DOI : 10.1016/j.neuroimage.2006.08.034

P. Savadjiev, J. S. Campbell, M. Descoteaux, R. Deriche, G. B. Pike et al., Labeling of ambiguous sub-voxel fibre bundle configurations in high angular resolution diffusion MRI, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00429882

P. Savadjiev, J. S. Campbell, G. B. Pike, and K. Siddiqi, 3D curve inference for diffusion MRI regularization and fibre tractography???, Medical Image Analysis, vol.10, issue.5, pp.799-813, 2006.
DOI : 10.1016/j.media.2006.06.009

N. Selden, D. Gitelman, N. Salamon-murayama, T. Parrish, and M. Mesulam, Trajectories of cholinergic pathways within the cerebral hemispheres of the human brain, Brain, vol.121, issue.12, pp.2249-2257, 1998.
DOI : 10.1093/brain/121.12.2249

K. K. Seunarine and D. C. Alexander, Linear Persistent Angular Structure MRI and non-linear Spherical Deconvolution for Diffusion MRI, Magnetic Resonance in Medicine, vol.59, p.2726, 2006.

K. K. Seunarine, P. A. Cook, K. Embleton, G. J. Parker, and D. C. Alexander, A General Framework for Multiple-Fibre PICo Tractography'. In: Medical Image Understanding and Analysis, 2006.

K. K. Seunarine, P. A. Cook, M. G. Hall, K. V. Embleton, G. J. Parker et al., Exploiting peak anisotropy for tracking through complex structures, 2007 IEEE 11th International Conference on Computer Vision, pp.210-224, 2007.
DOI : 10.1109/ICCV.2007.4409168

J. Sijbers, A. J. Den-dekker, J. V. Audekerke, M. Verhoye, and D. V. 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

O. Soderman and B. Jonsson, Restricted Diffusion in Cylindrical Geometry, Journal of Magnetic Resonance, Series A, vol.117, issue.1, pp.94-97, 1995.
DOI : 10.1006/jmra.1995.0014

C. Sotak, The Role of Diffusion Tensor Imaging (DTI) in the Evaluation of Ischemic Brain Injury', NMR in Biomedicine, vol.1512, issue.46, pp.561-569, 2002.

G. Stanisz, A. Szafer, G. Wright, and R. Henkelman, An analytical model of restricted diffusion in bovine optic nerve, Magnetic Resonance in Medicine, vol.47, issue.1, pp.103-111, 1997.
DOI : 10.1002/mrm.1910370115

E. Stejskal and J. Tanner, Spin Diffusion Measurements: Spin Echoes in the Presence of a Time???Dependent Field Gradient, The Journal of Chemical Physics, vol.42, issue.1, pp.288-292, 1965.
DOI : 10.1063/1.1695690

J. Talairach and P. Tournoux, Co-Planar Stereotaxic Atlas of the Human Brain: 3-Dimensional Proportional System : An Approach to Cerebral Imaging, 1988.

D. Taylor and M. 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

M. S. Thiebaut, M. H. Ezquerro, E. Bardinet, C. Poupon, H. Benali et al., Three dimensional probalistic atlas of the human striatal territories based on diffusion imaging, Proceedings of the International Society of Magnetic Resonance in Medicine, 2007.

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, 0197.
DOI : 10.1016/j.neuroimage.2007.02.016

J. Tournier, F. Calamante, D. Gadian, and A. Connelly, Diffusion-weighted magnetic resonance imaging fibre tracking using a front evolution algorithm, NeuroImage, vol.20, issue.1, pp.276-288, 2003.
DOI : 10.1016/S1053-8119(03)00236-2

J. Tournier, F. Calamante, D. 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

N. Toussaint, M. Sermesant, and P. Fillard, vtkINRIA3D: A VTK Extension for Spatiotemporal Data Synchronization, Visualization and Management'. In: MICCAI'07 Workshop on Open Source and Open Data, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00616048

N. Toussaint, J. Souplet, and P. Fillard, MedINRIA: Medical Image Navigation and Research Tool by INRIA'. In: MICCAI'07 Workshop on Interaction in medical image analysis and visualization, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00616047

D. Tschumperlé and R. Deriche, Diffusion tensor regularization with constraints preservation, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001, pp.948-953, 2001.
DOI : 10.1109/CVPR.2001.990631

D. Tuch, Diffusion MRI of Complex Tissue Structure Harvard University and Massachusetts Institute of Technology, 2002.

D. Tuch, J. Belliveau, T. Reese, and V. Wedeen, High Angular Resolution Imaging of the Human Brain, Proceedings of the International Society for the Magnetic Resonance in Medicine. Philadelphia, pp.321-107, 1999.

D. Tuch, T. Reese, M. Wiegell, N. Makris, J. Belliveau et al., High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity, Magnetic Resonance in Medicine, vol.147, issue.4, pp.577-582, 2002.
DOI : 10.1002/mrm.10268

L. Vese and T. Chan, A multiphase level set framework for image segmentation using the Mumford and Shah model, The International Journal of Computer Vision, vol.50152, issue.3, pp.271-293, 2002.

E. Von-dem-hagen and R. Henkelman, Orientational diffusion reflects fiber structure within a voxel, Magnetic Resonance in Medicine, vol.33, issue.3, pp.454-459, 2002.
DOI : 10.1002/mrm.10250

G. Wahba, Spline Models for Observational Data, Society for Industrial and Applied Mathematics (SIAM), vol.86, issue.115, p.175, 1990.
DOI : 10.1137/1.9781611970128

Z. Wang, B. Vemuri, Y. Chen, and T. Mareci, A Constrained Variational Principle for Direct Estimation and Smoothing of the Diffusion Tensor Field From Complex DWI, IEEE Transactions on Medical Imaging, vol.23, issue.8, pp.930-939, 2004.
DOI : 10.1109/TMI.2004.831218

Z. Wang and B. C. Vemuri, Tensor Field Segmentation Using Region Based Active Contour Model, European Conference on Computer Vision (ECCV), pp.304-315, 2004.
DOI : 10.1007/978-3-540-24673-2_25

Z. Wang and B. C. Vemuri, DTI Segmentation Using an Information Theoretic Tensor Dissimilarity Measure, IEEE Transactions in Medical Imaging, vol.24145, issue.146, pp.1267-1277, 2005.

D. Wassermann, M. Descoteaux, and R. Deriche, Diffusion Maps Clustering for Magnetic Resonance Q-Ball Imaging Segmentation, special issue on Recent Advances in Neuroimaging Methodology p. in press, 2007.
DOI : 10.1109/TMI.2005.854516

URL : https://hal.archives-ouvertes.fr/inria-00429948

D. Wassermann, M. Descoteaux, and R. Deriche, Recovering cerebral white matter structures with Spectral Clustering of Diffusion MRI Data, 2007.

V. Wedeen, T. Reese, D. Tuch, M. Wiegel, J. Dou et al., Mapping fiber orientation spectra in cerebral white matter with Fouriertransform diffusion MRI, Proceedings of the International Society of Magnetic Resonance in Medicine, pp.82-53, 2000.

G. Wesbey, M. Moseley, and R. Ehman, Translational molecular self-diffusion in magnetic resonance imaging. I. Effects on observed spin-spin relaxation, Investigative Radiology, vol.1942, issue.44, pp.484-490, 1984.

G. E. Wesbey, M. E. Moseley, and R. H. Ehman, Translational molecular self-diffusion in magnetic resonance image. II. Measurement of the self-diffusion coefficient, Investigative Radiology, vol.1942, issue.44, pp.491-498, 1984.

C. Westin, S. Maier, H. Mamata, A. Nabavi, F. Jolesz et al., Processing and visualization for diffusion tensor MRI, Medical Image Analysis, vol.6, issue.2, pp.93-108, 2002.
DOI : 10.1016/S1361-8415(02)00053-1

M. R. Wiegell, D. S. Tuch, H. B. Larsson, and V. J. Wedeena, Automatic segmentation of thalamic nuclei from diffusion tensor magnetic resonance imaging, NeuroImage, vol.19, issue.2, 2003.
DOI : 10.1016/S1053-8119(03)00044-2

T. Williams, N. Gluhbegovic, and J. Jew, The human brain: dissections of the real brain'. Virtual Hospital, pp.25-31, 1997.

M. Young, G. Burns, and J. Scannell, The Analysis of Cortical Connectivity, Landes Bioscience, vol.3, issue.11, 1995.

W. Zhan, H. Gu, S. Xu, D. A. Silbersweig, E. Stern et al., Circular spectrum mapping for intravoxel fiber structures based on high angular resolution apparent diffusion coefficients, Magnetic Resonance in Medicine, vol.3, issue.6, pp.1077-1088, 2003.
DOI : 10.1002/mrm.10484

W. Zhan, E. A. Stein, and Y. Yang, Mapping the orientation of intravoxel crossing fibers based on the phase information of diffusion circular spectrum, NeuroImage, vol.23, issue.4, pp.1358-1369, 2004.
DOI : 10.1016/j.neuroimage.2004.07.062

W. Zhan, E. A. Stein, and Y. Yang, A rotation-invariant spherical harmonic decomposition method for mapping intravoxel multiple fiber structures, NeuroImage, vol.29, issue.4, pp.1242-1223, 2006.
DOI : 10.1016/j.neuroimage.2005.08.045

H. Zhang, P. A. Yushkevich, and J. C. Gee, Registration of diffusion tensor images, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004., pp.842-847, 2004.
DOI : 10.1109/CVPR.2004.1315119

H. Zhao, T. Chan, B. Merriman, and S. Osher, A Variational Level Set Approach to Multiphase Motion, Journal of Computational Physics, vol.127, issue.1, pp.179-195, 1996.
DOI : 10.1006/jcph.1996.0167

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.25.3048

L. Zhukov, K. Museth, D. Breen, R. Whitakert, and A. H. Barr, Level Set Modeling and Segmentation of DT-MRI Brain Data, Journal of Electronic Imaging, vol.12145, issue.146, pp.125-133, 2003.