Apparent diffusion coefficients from high angular resolution diffusion imaging: Estimation and applications

Magnetic Resonance in Medicine

Volumn 56, Issue 2, 2006, Pages 395-410

  Descoteaux, Maxime ^a,c   Angelino, Elaine ^b   Fitzgibbons, Shaun ^b   Deriche, Rachid ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b HARVARD UNIVERSITY   (United States)

^c INRIA   (France)

Author keywords

Anisotropy measures; High angular resolution diffusion imaging; High order diffusion tensor; Laplace Beltrami operator; Regularization; Spherical harmonics

Indexed keywords

ANISOTROPY; GAUSSIAN NOISE (ELECTRONIC); HARMONIC ANALYSIS; LAPLACE TRANSFORMS; LINEAR TRANSFORMATIONS; MAGNETIC RESONANCE IMAGING; SPHERES; SURFACE DIFFUSION; TENSORS;

HIGH ANGULAR RESOLUTION DIFFUSION IMAGING; HIGH-ORDER; LAPLACE-BELTRAMI OPERATOR; REGULARIZATION; SPHERICAL HARMONICS;

DIFFUSION TENSOR IMAGING;

ALGORITHM; ANALYTIC METHOD; ANISOTROPY; ARTICLE; DATA ANALYSIS; DIAGNOSTIC IMAGING; DIFFUSION COEFFICIENT; DIFFUSION TENSOR IMAGING; MODEL; NORMAL DISTRIBUTION; NUCLEAR MAGNETIC RESONANCE IMAGING; VALIDATION PROCESS;

EID: 33746752673     PISSN: 07403194     EISSN: 15222594     Source Type: Journal    
DOI: 10.1002/mrm.20948     Document Type: Article

References (40)

1. LeBihan D, Breton E, Lallemand D, Grenier P, Cabanis E, Laval-Jeantet M. MR imaging of intravoxel incoherent motions: application to diffusion and perfusion in neurologic disorders. Radiology 1986;161:401-407.
2. Basser PJ, Mattiello J, LeBihan D. Estimation of the effective self-diffusion tensor from NMR spin echo. J Magn Reson B 1994;123:247-254.
3. Tschumperlé D, Deriche R. Variational frameworks for DT-MRI estimation, regularization and visualization. In: Proceedings of the 9th International Conference on Computer Vision, Nice, France, 2003. p. 116-121.
4. Wang Z, Vemuri BC, Chen Y, Mareci T. Simultaneous smoothing and estimation of the tensor field from diffusion tensor MRI. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, volume 1. Madison, WIS, USA, 2003. p. 461-466.
5. Westin C-F, Maier SE, Mamata H, Nabavi A, Jolesz FA, Kikinis R. Processing and visualization of diffusion tensor MRI. Med Image Anal 2002;6:93-108.
6. Campbell JSW, Siddiqi K, Rymar VV, Sadikot A, Pike BG. Flow-based fiber tracking with diffusion tensor q-ball data: validation and comparison to principal diffusion direction techniques. NeuroImage 2005;27: 725-736.
7. Lenglet C, Rousson M, Deriche R, Faugeras O. Statistics on the manifold of multivariate normal distributions: theory and application to diffusion tensor MRI processing. J Math Imaging Vis, Special Issue MIA 2006, (in press). (Available at ftp://ftp-sop.inria.fr/odyssee/Publications/2005/lenglet-rousson- etal:05b.pdf).
8. Lenglet C, Rousson M, Deriche R, Faugeras O, Lehericy S, Ugurbil K. A Riemannian approach to diffusion tensor images segmentation. In: Proceedings of the 19th International Conference on Information Processing in Medical Imaging (IPMI), Glenwood Springs, CO, USA, 2005. p. 591-602.
9. Poupon G. Détection des faisceaux de fibres de la substance blanche pour l'étude de la connectivité anatomique cérébrale. Ph.D. thesis, Ecole Nationale Supérieure des Télécommunications, 1999.
10. Doug Q, Welsh RC, Chenevert TL, Carlos RC, Maly-Sundgren P, Gomez-Hassan DM, Mukherji SK. Clinical applications of diffusion tensor imaging. J Magn Reson Imaging 2004;19:6-18.
11. Basser PJ, Pierpaoli C. Microstructural and physiological features of tissues elucidated by quantitative diffusion tensor MRI. J Magn Reson B 1996;111:209-219.
12. Ozarslan E, Vemuri BC, Mareci T. Generalized scalar measures for diffusion MRI using trace, variance and entropy. Magn Reson Med 2005;53:866-876.
13. Tuch DS. Diffusion MRI of complex tissue structure. Ph.D. thesis, Harvard University and Massachusetts Institute of Technology, 2002.
14. Ozarslan E, Mareci T. Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution imaging. Magn Reson Med 2003;50:955-965.
15. Frank LR. Characterization of anisotropy in high angular resolution diffusion-weighted MRI. Magn Reson Med 2002;47:1083-1099.
16. Alexander DC, Barker GJ, Arridge SR. Detection and modeling of non-Gaussian apparent diffusion coefficient profiles in human brain data. Magn Reson Med 2002;48:331-340.
17. Chen Y, Guo W, Zeng Q, Yan X, Huang F, Zhang H, He G, Vemuri BC, Liu Y. Estimation, smoothing, and characterization of apparent diffusion coefficient profiles from high angular resolution DW1. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, volume 1, Washington, DC, USA, 2004. p. 588-593.
18. Stejskal EO, Tanner JE. Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient. J Chem Phys 1965;42: 288-292.
19. Savadjiev P, Campbell JSW, Pike BG, Siddiqi K. 3D curve inference for diffusion MRI regularization. In: Proceedings of the 8th International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI). Part 1, LNCS 3749, Palm Springs, CA, USA, 2005. p. 123-130.
20. Tuch DS, Reese TG, Wiegell MR, Makris NG, Belliveau JW, Wedeen VJ. High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. Magn Reson Med 2002;48:577-582.
21. Wedeen VJ, Reese TG, Tuch DS, Dou J-G, Weiskoff RM, Chessler D. Mapping fiber orientation spectra in cerebral white matter with fourier-transform diffusion MRI. In: Proceedings of the 7th Annual Meeting of ISMRM, Philadelphia, PA, USA, 1999. p. 321.
22. Tuch DS. Q-ball imaging. Magn Reson Med 2004;52:1358-1372.
23. Jansons KM, Alexander DC. Persistent angular structure: new insights from diffusion magnetic resonance imaging data. Inverse Problems 2003;19:1031-1046.
24. Descoteaux M, Angelino E, Fitzgibbons S, Deriche R. A linear and regularized ODF estimation algorithm to recover multiple fibers in q-ball imaging. Research Report 5768, INRIA, Nov. 2005.
25. Alexander DC, Barker GJ. Optimal imaging parameters for fiber-orientation estimation in diffusion MRI. NeuroImage 2005;27:357-367.
26. Gia QTL. Approximation of linear partial differential equations on spheres. Ph.D. thesis, Texas A&M University, 2003.
27. Sochen N, Deriche R, Lopez-Perez L. Variational Beltrami flows over manifolds. In: Proceedings of the IEEE International Conference on Image Processing, volume 1, Barcelona, Spain, 2003. p. 861-864.
28. Descoteaux M, Angelino E, Fitzgibbons S, Deriche R. Apparent diffusion coefficients from high angular resolution diffusion imaging: estimation and applications. Research Report 5681, INRIA, Sept. 2005.
29. Brechbuhler CH, Gerig G, Kubler O. Parameterization of closed surfaces for 3D shape description. Comput Vis Image Underst 1995;61:154-170.
30. Hansen PC. The L-curve and its use in the numerical treatment of inverse problems. In: Johnston P, editor. Computational inverse problems in electrocardiology. Southampton:WIT Press; 2001. p. 119-142.
31. Tschumperle D, Deriche R. Diffusion tensor regularization with constraints preservation. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, Kauai, HI, USA, 2001. p. 948-953.
32. Chefd' hotel C, Tschumperle D, Deriche R, Faugeras O. Regularizing flows for constrained matrix-valued images. J Math Imaging Vis 2004; 20:147-162.
33. Tournier J-D, Calamante F, Gadian DG, Connelly A. Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution NeuroImage 2004;23:1176-1185.
34. Sijbers J, den Dekker AJ, van Audekerke J, Verhoye M, van Dyck D. Estimation of the noise in magnitude MR images. Magn Reson Imaging 1998;16:87-90.
35. von dem Hagen EA, Henkelman RM. Orientational diffusion reflects fiber structure within a voxel. Magn Reson Med 2002;48:454-459.
36. Ozarslan E, Vemuri BC, Mareci T. Fiber orientation mapping using generalized diffusion tensor imaging. In: IEEE International Symposium on Biomedical Imaging (ISBI), Arlington, VA, USA, April 2004. p. 1036-1038.
37. Soderman O, Jonsson B. Restricted diffusion in cylindrical geometry. J Magn Reson A 1995;117:94-97.
38. Alexander DC. An introduction to diffusion MRI: the diffusion tensor and beyond. In: Weickert J, Hagen H, editors. Visualization and image processing of tensor fields. Springer, 2006.
39. Chen Y, Guo W, Zeng Q, Yan X, Rao M, Liu Y. Apparent diffusion coefficient approximation and diffusion anisotropy characterization in DWI. In: Proceedings of the 19th International Conference on Information Processing in Medical Imaging (IPMI), Glenwood Springs, CO, USA, 2005. p. 246-257.
40. Rao M, Chen Y, Vemuri BC, Wang F. Cumulative residual entropy: a new measure of information. IEEE Trans Inform Theory 2004;50:1220-1228.