Erratum to "A novel tensor distribution model for the diffusion-weighted MR signal" [NeuroImage 37 (2007) 164-176] (DOI:10.1016/j.neuroimage.2007.03.074);A novel tensor distribution model for the diffusion-weighted MR signal

NeuroImage

Volumn 37, Issue 1, 2007, Pages 164-176

  Jian, Bing ^a   Vemuri, Baba C ^a   Özarslan, Evren ^b   Carney, Paul R ^c   Mareci, Thomas H ^d  

^a University of Florida   (United States)

^b EUNICE KENNEDY SHRIVER NATIONAL INSTITUTE OF CHILD HEALTH AND HUMAN DEVELOPMENT   (United States)

^c UNIVERSITY OF FLORIDA COLLEGE OF MEDICINE   (United States)

^d UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ALGORITHM; ARTICLE; DIFFUSION TENSOR IMAGING; DIFFUSION WEIGHTED IMAGING; NEUROIMAGING; NUCLEAR MAGNETIC RESONANCE IMAGING; PRIORITY JOURNAL; SIGNAL PROCESSING; SIMULATION; STATISTICAL MODEL;

EID: 34447570648     PISSN: 10538119     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neuroimage.2008.03.033     Document Type: Erratum

References (50)

1. Alexander D.C. Maximum entropy spherical deconvolution for diffusion MRI. In: Christensen G.E., and Sonka M. (Eds). IPMI. Lecture Notes in Computer Science vol. 3565 (2005), Springer 76-87
2. Alexander D.C., Barker G.J., and Arridge S.R. Detection and modeling of non-Gaussian apparent diffusion coefficient profiles in human brain data. Magn. Reson. Med. 48 2 (2002) 331-340 (August)
3. Anderson T.W. An Introduction to Multivariate Statistical Analysis (1958), John Wiley and Sons
4. Anderson A.W. Measurement of fiber orientation distributions using high angular resolution diffusion imaging. Magn. Reson. Med. 54 5 (2005) 1194-1206
5. Assaf Y., Freidlin R.Z., Rohde G.K., and Basser P.J. New modeling and experimental framework to characterize hindered and restricted water diffusion in brain white matter. Magn. Reson. Med. 52 5 (2004) 965-978
6. Basser P.J., Mattiello J., and LeBihan D. Estimation of the effective self-diffusion tensor from the NMR spin echo. J. Magn. Reson., B 103 (1994) 247-254
7. Basser P.J., Pajevic S., Peierpaoli C., J D., and Aldroubi A. In vivo fiber tractography using DT-MRI data. Magn. Reson. Med. 44 4 (2000) 625-632 (October)
8. Behrens T., Woolrich M., Jenkinson M., Johansen-Berg H., Nunes R., Clare S., Matthews P., Brady J., and Smith S. Characterization and propagation of uncertainty in diffusion-weighted MR imaging. Magn. Reson. Med. 50 2 (2003) 1077-1088
9. Behrens T., Johansen-Berg H., Jbabdi S., Rushworth M., and Woolrich M. Probabilistic tractography with multiple fibre orientations: what can we gain?. NeuroImage 34 (2007) 144-155
10. Callaghan P. Principles of Nuclear Magnetic Resonance Microscopy (1991), Clarendon Press, Oxford
11. Chefd'hotel C., Tschumperlé, Deriche R., and Faugeras O. Regularizing flows for constrained matrix-valued images. J. Math. Imaging Vis. 20 1-2 (2004) 147-162
12. Cleveland G.G., Chang D.C., Hazlewood C.F., and Rorschach H.E. Nuclear magnetic resonance measurement of skeletal muscle: anisotropy of the diffusion coefficient of the intracellular water. Biophys. J. 16 9 (1976) 1043-1053
13. Conturo T.E., Lori N.F., Cull T.S., Akbudak E., Snyder A.Z., Shimony J.S., McKinstry R.C., Burton H., and Raichle M.E. Tracking neuronal fiber pathways in the living human brain. Proc. Natl. Acad. Sci. 96 (1999) 10422-10427
14. Descoteaux M., Angelino E., Fitzgibbons S., and Deriche R. A fast and robust ODF estimation algorithm in q-ball imaging. International Symposium on Biomedical Imaging: From Nano to Macro (2006) 81-84
15. Frank L. Characterization of anisotropy in high angular resolution diffusion weighted MRI. Magn. Reson. Med. 47 6 (2002) 1083-1099
16. Gudbjartsson H., and Patz S. The Rician distribution of noisy MRI data. Magn. Reson. Med. 34 6 (1995) 910-914
17. Herz C.S. Bessel functions of matrix argument. Ann. Math. 61 3 (1955) 474-523
18. Hess C.P., Mukherjee P., Han E.T., Xu D., and Vigneron D.B. Q-ball reconstruction of multimodal fiber orientations using the spherical harmonic basis. Magn. Reson. Med. 56 1 (2006) 104-117
19. Hosey T., William G., and Ansorge R. Inference of multiple fiber orientations in high angular resolution diffusion imaging. Magn. Reson. Med. 54 (2005) 1480-1489
20. Jansons K.M., and Alexander D.C. Persistent angular structure: new insights from diffusion MRI data. Inverse Problems 19 (2003) 1031-1046
21. Jian B., Vemuri B.C., Özarslan E., Carney P., and Mareci T. A Continuous Mixture of Tensors Model for Diffusion-Weighted MR Signal Reconstruction. IEEE 2007 International Symposium on Biomedical Imaging (ISBI'07) (2007)
22. Köpf M., Metzler R., Haferkamp O., and Nonnenmacher T.F. NMR studies of anomalous diffusion in biological tissues: experimental observation of Lévy stable processes. In: Losa G.A., Merlini D., Nonnenmacher T.F., and Weibel E.R. (Eds). Fractals in Biology and Medicine vol. 2 (1998), Birkhäuser, Basel 354-364
23. LeBihan D., Breton E., Lallemand D., Grenier P., Cabanis E., and Laval-Jeantet M. MR imaging of intravoxel incoherent motions: application to diffusion and perfusion in neurologic disorders. Radiology 161 (1986) 401-407
24. Letac G., and Massam H. Quadratic and inverse regressions for Wishart distributions. Ann. Stat. 26 2 (1998) 573-595
25. Mori S., Crain B.J., Chacko V.P., and van Zijl P.C.M. Three-dimensional tracking of axonal projections in the brain by magnetic resonance imaging. Ann. Neurol. 45 (1999) 265-269
26. Moseley M.E., Cohen Y., Kucharczyk J., Mintorovitch J., Asgari H.S., Wendland M.F., Tsuruda J., and Norman D. Diffusion-weighted MR imaging of anisotropic water diffusion in cat central nervous system. Radiology 176 2 (1990) 439-445
27. 2-weighted MRI and spectroscopy. Magn. Reson. Med. 14 (1990) 330-346
28. Murihead R.J. Aspects of Multivariate Statistical Theory (1982), John Wiley and Sons
29. Özarslan E., and Mareci T.H. Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging. Magn. Reson. Med. 50 5 (2003) 955-965
30. Özarslan E., Vemuri B.C., and Mareci T. Fiber orientation mapping using generalized diffusion tensor imaging. International Symposium on Biomedical Imaging: From Nano to Macro (2004) 1036-1038
31. Özarslan E., Vemuri B.C., and Mareci T.H. Generalized scalar measures for diffusion MRI using trace, variance, and entropy. Magn. Reson. Med. 53 4 (2005) 866-876
32. Özarslan E., Basser P.J., Shepherd T.M., Thelwall P.E., Vemuri B.C., and Blackband S.J. Observation of anomalous diffusion in excised tissue by characterizing the diffusion-time dependence of the MR signal. J. Magn. Reson. 183 2 (2006) 315-323
33. Özarslan E., Shepherd T.M., Vemuri B.C., Blackband S.J., and Mareci T.H. Resolution of complex tissue microarchitecture using the diffusion orientation transform (DOT). NeuroImage 31 (2006) 1086-1103
34. Press W., Flannery B., Teukolsky S., and Vetterling W. Numerical Recipes in C: The Art of Scientific Computing (1992), Cambridge Univ. Press
35. Rigaut J.P. An empirical formulation relating boundary lengths to resolution in specimens showing 'non-ideally fractal' dimensions. J. Microsc. 133 (1984) 41-54
36. Sen P.N., Hürlimann M.D., and de Swiet T.M. Debye-Porod law of diffraction for diffusion in porous media. Phys. Rev., B 51 1 (1995) 601-604
37. Söderman O., and Jönsson B. Restricted diffusion in cylindrical geometry. J. Magn. Reson., B 117 1 (1995) 94-97
38. Terras A. Harmonic Analysis on Symmetric Spaces and Applications (1985), Springer
39. Tournier J.-D., Calamante F., Gadian D.G., and Connelly A. Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution. NeuroImage 23 3 (2004) 1176-1185
40. Tournier J.-D., Calamente F., and Connelly A. Improved characterisation of crossing fibres: spherical deconvolution combined with Tikhonov regularization. Proceedings of the ISMRM 14th Scientific Meeting and Exhibition. Seattle, Washington (2006)
41. Tuch D.S. Q-ball imaging. Magn. Reson. Med. 52 6 (2004) 1358-1372
42. Tuch D.S., Weisskoff R.M., Belliveau J.W., and Wedeen V.J. High angular resolution diffusion imaging of the human brain. Proc. of the 7th ISMRM. Philadelphia (1999) 321
43. Tuch D.S., Reese T.G., Wiegell M.R., Makris N., Belliveau J.W., and Wedeen V.J. High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. Magn. Reson. Med. 48 4 (2002) 577-582
44. Tuch D.S., Reese T.G., Wiegell M.R., and Wedeen V.J. Diffusion MRI of complex neural architecture. Neuron 40 (2003) 885-895 (December)
45. von dem Hagen E., and Henkelman R. Orientational diffusion reflects fiber structure within a voxel. Magn. Reson. Med. 48 3 (2002) 454-459
46. Wampler C.W. Manipulator inverse kinematic solution based on damped least-squares solutions. IEEE Trans. Syst. Man Cybern. 16 1 (1986) 93-101
47. Wang Z., Vemuri B.C., Chen Y., and Mareci T.H. A constrained variational principle for direct estimation and smoothing of the diffusion tensor field from complex DWI. IEEE Trans. Med. Imag. 23 8 (2004) 930-939
48. Wedeen V.J., Reese T., Tuch D.S., Weigl M.R., Dou J.-G., Weiskoff R., and Chesler D. Mapping fiber orientation spectra in cerebral white matter with Fourier transform diffusion MRI. Proc. of the 8th ISMRM. Denver (2000) 82
49. In: Weickert J., and Hagen H. (Eds). Visualization and Processing of Tensor Fields (2005), Springer
50. Wishart J. The generalized product moment distribution in samples from a normal multivariate population. Biometrika 20 (1928) 32-52