An Introduction to Diffusion MRI: the Diffusion Tensor and Beyond. ChapterVisualization and Image Processing of Tensor Fields, 2005. ,
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
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
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
Microstructural and physiological features of tissues elucidated by quantitative diffusion tensor mri, Journal of Magnetic Resonance, vol.11, pp.209-219, 1996. ,
Parametrization of Closed Surfaces for 3-D Shape Description, Computer Vision and Image Understanding, vol.61, issue.2, pp.154-170, 1995. ,
DOI : 10.1006/cviu.1995.1013
Diffusion Imaging of White Matter Fiber Tracts, 2004. ,
Flow-based fibre tracking with diffusion tensor and q-ball data: Validation and comparison to principal diffusion orientation techniques, Neuroimage, 2005. ,
Regularizing Flows for Constrained Matrix-Valued Images, Journal of Mathematical Imaging and Vision, vol.20, issue.1/2, pp.147-162, 2004. ,
DOI : 10.1023/B:JMIV.0000011324.14508.fb
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
Apparent Diffusion Coefficient Approximation and Diffusion Anisotropy Characterization in DWI, Proceedings IPMI, 2005. ,
DOI : 10.1007/11505730_21
Apparent diffusion coefficients from high angular resolution diffusion imaging: Estimation and applications, Magnetic Resonance in Medicine, vol.50, issue.2, 2005. ,
DOI : 10.1002/mrm.20948
Clinical applications of diffusion tensor imaging, Journal of Magnetic Resonance Imaging, vol.19, pp.6-18, 2004. ,
Fiber orientation mapping using generalized diffusion tensor imaging, ISBI, 2004. ,
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
Approximation of linear partial differential equations on spheres, 2003. ,
The l-curve and its use in the numerical treatment of inverse problems, Computational Inverse Problems in Electrocardiology, pp.119-142, 2001. ,
MR imaging of intravoxel incoherent motions: Application to diffusion and perfusion in neurologic disorders, Radiology, pp.401-407, 1986. ,
Inferring White Matter Geometry from Diffusion Tensor MRI: Application to Connectivity Mapping, Proceedings of the 8th European Conference on Computer Vision, 2004. ,
DOI : 10.1007/978-3-540-24673-2_11
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1.1585
Segmentation of 3D Probability Density Fields by Surface Evolution: Application to Diffusion MRI, Proc. 7th Intl. Conf. on Medical Image Computing and Computer Assisted Intervention, 2004. ,
DOI : 10.1007/978-3-540-30135-6_3
URL : https://hal.archives-ouvertes.fr/inria-00070755
Toward segmentation of 3d probability density fields by surface evolution: Application to diffusion mri, 2004. ,
URL : https://hal.archives-ouvertes.fr/inria-00070755
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, 2005. ,
DOI : 10.1007/s10851-006-6897-z
A Riemannian Approach to Diffusion Tensor Images Segmentation, Proceedings IPMI, 2005. ,
DOI : 10.1007/11505730_49
Persistent angular structure: new insights fom diffusion magnetic resonance imaging data, Inverse Problems, vol.19, pp.1031-1046, 2003. ,
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
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
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
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
Détection des faisceaux de fibres de la substance blanche pour l'étude de la connectivité anatomique cérébrale, 1999. ,
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
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
Signal and Noise Estimation from Magnetic Resonance Images, 1998. ,
The Beltrami flow over implicit manifolds, Proceedings Ninth IEEE International Conference on Computer Vision ,
DOI : 10.1109/ICCV.2003.1238434
Variational Beltrami flows over manifolds, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429), 2003. ,
DOI : 10.1109/ICIP.2003.1247099
Restricted Diffusion in Cylindrical Geometry, Journal of Magnetic Resonance, Series A, vol.117, issue.1, 1995. ,
DOI : 10.1006/jmra.1995.0014
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
Diffusion tensor regularization with constraints preservation, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001, 2001. ,
DOI : 10.1109/CVPR.2001.990631
Variational frameworks for DT-MRI estimation, regularization and visualization, Proceedings Ninth IEEE International Conference on Computer Vision ,
DOI : 10.1109/ICCV.2003.1238323
Diffusion MRI of Complex Tissue Structure, 2002. ,
Q-ball imaging, Magnetic Resonance in Medicine, vol.23, issue.6, pp.1358-1372, 2004. ,
DOI : 10.1002/mrm.20279
High angular resolution imaging of the human brain, Proceedings of the International Society for the Magnetic Resonance in Medecine, 1999. ,
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
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
Simultaneous smoothing and estimation of the tensor field from diffusion tensor MRI, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings., pp.461-466, 2003. ,
DOI : 10.1109/CVPR.2003.1211390
Mapping fiber orientation spectra in cerebral white matter with fourier-transform diffusion mri, Proceedings of the International Society for the Magnetic Resonance in Medecine, p.321, 1999. ,
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
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