A new methodology for the estimation of fiber populations in the white matter of the brain with the Funk-Radon transform

NeuroImage

Volumn 49, Issue 2, 2010, Pages 1301-1315

  Tristán Vega, Antonio ^a   Westin, Carl Fredrik ^b   Aja Fernández, Santiago ^a  

^a UNIVERSITY OF VALLADOLID   (Spain)

^b HARVARD MEDICAL SCHOOL   (United States)

Author keywords

Funk Radon transform; HARDI; OPDT; Q Balls

Indexed keywords

ARTICLE; ATTENUATION; CALCULATION; DIAGNOSTIC PROCEDURE; DIFFUSION; DIFFUSION TENSOR IMAGING; MATHEMATICAL ANALYSIS; METHODOLOGY; NERVE FIBER; NEUROIMAGING; NUCLEAR MAGNETIC RESONANCE SCANNER; PRIORITY JOURNAL; SIGNAL PROCESSING; WHITE MATTER;

ALGORITHMS; ANISOTROPY; ARTIFACTS; BRAIN; COMPUTER SIMULATION; DIFFUSION MAGNETIC RESONANCE IMAGING; FOURIER ANALYSIS; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; MODELS, THEORETICAL; NERVE FIBERS, MYELINATED; NEURAL PATHWAYS;

EID: 70749153219     PISSN: 10538119     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neuroimage.2009.09.070     Document Type: Article

References (34)

1. In: Abramowitz M., and Stegun I.A. (Eds). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (1972), Dover, New York
2. Aganj I., Lenglet C., and Sapiro G. ODF reconstruction in Q-Ball imaging with solid angle consideration. Proceedings of the 6th International Symposium on Biomedical Imaging: from Nano to Macro (Jul. 2009), IEEE 1398-1401. http://www.tc.umn.edu/~iman/index_files/Publications.htm available online: Jan. 2009 http://www.tc.umn.edu/~iman/index_files/Publications.htm.
3. Aganj I., Lenglet C., Sapiro G., Yacoub E., Ugurbil K., and Harel N. Multiple q-shell ODF reconstruction in Q-Ball imaging. Medical Image Computing and Computer-Assisted Intervention. Vol. 5761 of Lecture Notes in Computer Science (Sep. 2009), Springer-Verlag 423-431
4. Alexander D. Maximum entropy spherical deconvolution for diffusion MRI. Information Processing in Medical Imaging (Jul. 2005), Glenwood Springs, CO, USA 76-87
5. Anderson A. Measurement of fiber orientation distributions using high angular resolution diffusion imaging. Magn. Reson. Med. 54 5 (2005) 1194-1206
6. Basser P., and Pierpaoli C. Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI. J. Magn. Reson. 111 3 (Jun. 1996) 209-219
7. Basser P., Mattiello J., and Lebihan D. MR diffusion tensor spectroscopy and imaging. Biophys. J. 66 1 (Jan. 1994) 259-267
8. Callaghan P. Principles of Nuclear Magnetic Resonance Microscopy (1991), Clarendon Press, Oxford
9. Canales-Rodríguez E., Melie-García L., and Iturria-Medina Y. Mathematical description of q-space in spherical coordinates: exact Q-Ball imaging. Magn. Reson. Med. 61 (2009) 1350-1367
10. Descoteaux M., Angelino E., Fitzgibbons S., and Deriche R. Apparent diffusion profile estimation from high angular resolution diffusion images: estimation and applications. Magn. Reson. Med. 56 2 (2006) 395-410
11. Descoteaux M., Angelino E., Fitzgibbons S., and Deriche R. Regularized, fast, and robust analytical Q-Ball imaging. Magn. Reson. Med. 58 (2007) 497-510
12. Descotaux M., Deriche R., Le Bihan D., Mangin J.-F., and Poupon C. Diffusion propagator imaging: using Laplace's equation and multiple shell acquisitions to reconstruct the diffusion propagator. Information Processing in Medical Imaging. Vol. 5636 of Lecure Notes in Computer Science (2009), Springer-Verlag 1-13
13. Descoteaux M., Deriche R., Knösche T., and Anwander A. Deterministic and probabilistic tractography based on complex fibre orientation distributions. IEEE Trans. Med. Imaging 28 2 (Feb. 2009) 269-286
14. Gudbjartsson H., and Patz S. The Rician distribution of noisy MRI data. Magn. Reson. Med. 34 (1995) 910-914
15. Hess C., Mukherjee P., Han E., Xu D., and Vigneron D. Q-Ball reconstruction of multimodal fiber orientations using the spherical harmonic basis. Magn. Reson. Med. 56 1 (2006) 104-117
16. Jansons K., and Alexander D. Persistent angular structures: new insights from diffusion magnetic resonance imaging data. Inverse Problems 19 (2003) 1031-1046
17. Jian B., and Vemuri B. A unified computational framework for deconvolution to reconstruct multiple fibers from diffusion weighted MRI. IEEE Trans. Med. Imaging 26 11 (Nov. 2007) 1464-1471
18. Jian B., Vemuri B., Özarslan E., Carney P., and Marecy T. A novel tensor distribution model for the diffusion-weighted MR signal. NeuroImage 37 1 (Aug. 2007) 164-176
19. Khachaturian M., Wisco J., and Tuch D. Boosting the sampling efficiency of q-Ball imaging using multiple wavevector fusion. Magn. Reson. Med. 57 (2007) 289-296
20. Kreher B., Schneider J., Mader I., Martin E., Henning J., and Il'yasov K. Multitensor approach for analysis and tracking of complex fiber configurations. Magn. Reson. Med. 54 5 (Sep. 2005) 1216-1225
21. Niendorf T., Dijkhuizen R., Norris D., van Lookeren Campagne M., and Nicolay K. Biexponential diffusion attenuation in various states of brain tissue: implications for diffusion-weighted imaging. Magn. Reson. Med. 36 6 (1996) 847-857
22. Özarslan E., Vemuri B., and Mareci T. Generalized scalar measures for diffusion MRI using trace, variance and entropy. Magn. Reson. Med. 53 (2003) 866-876
23. Özarslan E., Sepherd T., Vemuri B., Blackband S., and Mareci T. Resolution of complex tissue microarchitecture using the diffusion orientation transform (DOT). NeuroImage 31 (2006) 1086-1103
24. Prčkovska V., Roebroeck A., Pullens W., Vilanova A., and ter Haar Romeny B. Optimal acquisition schemes in high angular resolution diffusion weighted imaging. Medical Image Computing and Computer-Assisted Intervention. Vol. 5242 of Lecture Notes in Computer Science (Sep. 2008), Springer-Verlag 9-17
25. Shinmoto H., Oshio K., Tanimoto A., Higuchi N., Okuda S., Kuribayashi S., and Mulkern R. Biexponential apparent diffusion coefficients in prostate cancer. Magn. Reson. Imaging 27 (2009) 355-359
26. Tournier J.-D., Calamante F., Gadian D., and Connelly A. Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution. NeuroImage 23 (2004) 1176-1185
27. Tournier J.-D., Calamante F., and Connelly A. Robust determination of the fibre orientation distribution in diffusion MRI: non-negativity constrained super-resolved spherical deconvolution. NeuroImage 35 (2007) 1459-1472
28. Tristán-Vega A., and Aja-Fernández S. Joint LMMSE estimation of DWI data for DTI processing. Medical Image Computing and Computer-Assisted Intervention. Vol. 5242 of Lecture Notes in Computer Science (Sep. 2008), Springer-Verlag 27-34
29. Tristán-Vega A., Aja-Fernández S., and Westin C.-F. On the blurring of the Funk-Radon transform in Q-ball imaging. Medical Image Computing and Computer-Assisted Intervention. Vol. 5761 of Lecture Notes in Computer Science (Sep. 2009), Springer-Verlag 415-422
30. Tristán-Vega A., Westin C.-F., and Aja-Fernández S. Estimation of fiber orientation probability density functions in high angular resolution diffusion imaging. NeuroImage 47 2 (2009) 638-650
31. Tuch D. Q-ball imaging. Magn. Reson. Med. 52 (2004) 1358-1372
32. Tuch D., Reese T., Wiegell M., and Wedeen V. Diffusion MRI of complex neural architecture. Neuron 40 (2003) 885-895
33. Wedeen V., Hagmann P., Tseng W.-Y., Reese T., and Weisskoff R. Mapping complex tissue architecture with diffusion spectrum imaging. Magnetic Resonance in Medicine 54 (2005) 1377-1386
34. Wu Y.-C., Field A., and Alexander L. Computation of diffusion function measures in q-space using magnetic resonance hybrid diffusion imaging. IEEE Trans. Med. Imaging 27 6 (Jun. 2008) 858-865