P. 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

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

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

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, 2007.

D. Tuch, Q-ball imaging, Magnetic Resonance in Medicine, vol.23, issue.6, pp.1358-1372, 2004.
DOI : 10.1002/mrm.20279

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

D. C. Alexander, Maximum Entropy Spherical Deconvolution for Diffusion MRI, In: Image Processing in Medical Imaging, pp.76-87, 2005.
DOI : 10.1007/11505730_7

P. Comon, B. Mourrain, L. Lim, and G. Golub, Genericity And Rank Deficiency Of High Order Symmetric Tensors, 2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings, pp.31-125, 2006.
DOI : 10.1109/ICASSP.2006.1660606

P. Comon, Tensor decompositions, Mathematics in Signal Processing V, pp.1-24, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00339493

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

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

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

J. Lasserre, Global Optimization with Polynomials and the Problem of Moments, SIAM Journal on Optimization, vol.11, issue.3, pp.796-817, 2001.
DOI : 10.1137/S1052623400366802

W. Karush, Minima of functions of several variables with inequalities as side constraints, 1939.

B. Mourrain and J. P. Pavone, Subdivision methods for solving polynomial equations, Journal of Symbolic Computation, vol.44, issue.3, 2005.
DOI : 10.1016/j.jsc.2008.04.016

URL : https://hal.archives-ouvertes.fr/inria-00070350

B. Mourrain and P. Trébuchet, Generalised normal forms and polynomial system solving, Proc. Intern. Symp. on Symbolic and Algebraic Computation, pp.253-260, 2005.

D. Cox, J. Little, and D. O-'shea, Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, Undergraduate Texts in Mathematics, 1992.

M. Elkadi and B. Mourrain, IntroductionàIntroductionà la résolution des systèmes d'´ equations algébriques, of Mathématiques et Applications, 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

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