Q-ball reconstruction of multimodal fiber orientations using the spherical harmonic basis

Magnetic Resonance in Medicine

Volumn 56, Issue 1, 2006, Pages 104-117

  Hess, Christopher P ^a   Mukherjee, Pratik ^a   Han, Eric T ^b   Xu, Duan ^a   Vigneron, Daniel B ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b GE HEALTHCARE   (United States)

Author keywords

Diffusion tensor imaging (DTI); Fiber tractography; High angular resolution diffusion imaging (HARDI); q ball imaging; White matter

Indexed keywords

CLUSTERING ALGORITHMS; DIFFUSION; DISTRIBUTION FUNCTIONS; FREQUENCY DOMAIN ANALYSIS; HARMONIC ANALYSIS; MAGNETIC RESONANCE IMAGING; MONTE CARLO METHODS; SPHERES; TENSORS;

FIBER TRACTOGRAPHY; FREQUENCY-DOMAIN REPRESENTATIONS; HIGH ANGULAR RESOLUTION DIFFUSION IMAGING; MONTE CARLO COMPUTER SIMULATIONS; ORIENTATION DISTRIBUTION FUNCTION; Q-BALL IMAGING; SPHERICAL HARMONIC BASIS; WHITE MATTER;

DIFFUSION TENSOR IMAGING;

ACCURACY; ADULT; ARTICLE; DIFFUSION; DIFFUSION TENSOR IMAGING; FEASIBILITY STUDY; HUMAN; HUMAN EXPERIMENT; IMAGE RECONSTRUCTION; IN VIVO STUDY; MALE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MEASUREMENT; MONTE CARLO METHOD; NORMAL HUMAN; THREE DIMENSIONAL IMAGING; WHITE MATTER;

EID: 33745699926     PISSN: 07403194     EISSN: 15222594     Source Type: Journal    
DOI: 10.1002/mrm.20931     Document Type: Article

References (39)

1. Beaulieu C. The basis of anisotropic water diffusion in the nervous system-a technical review. NMR Biomed 2002;15:438-455.
2. Basser PJ, Mattiello J, LeBihan D. MR diffusion tensor spectroscopy and imaging. Biophys J 1994;66:259-267.
3. Basser PJ, Pierpaoli C. Microstructural and physiological features of tissues elucidated by quantitative diffusion tensor MRI. J Magn Reson B 1996;111:209-219.
4. Conturo TE, Lori NF, Cull TS, Akbudak E, Snyder AZ, Shimony JS, McKinstry RC, Burton H, Raichle ME. Tracking neuronal fiber pathways in the living human brain. Proc Natl Acad Sci USA 1999;96:10422-10427.
5. Mori S, Crain BJ, Chacko VP, van Zijl PCM. Three-dimensional tracking of axonal projections in the brain by magnetic resonance imaging. Ann Neurol 1999;45:265-269.
6. Basser PJ, Pajevic S, Pierpaoli C, Duda J, Aldroubi A. In vivo fiber tractography using DT-MRI data. Magn Reson Med 2000;44:625-632.
7. Wiegell MR, Larsson HB, Wedeen WJ. Fiber crossing in human brain depicted with diffusion tensor MR imaging. Radiology 2000;217:897-903.
8. Alexander AL, Hasan KM, Lazar M, Tsuruda JS, Parker DL. Analysis of partial volume effects in diffusion-tensor MRI. Magn Reson Med 2001;45:770-780.
9. Frank LR. Anisotropy in high angular resolution diffusion-weighted MRI. Magn Reson Med 2001;45:935-939.
10. Herman JI, Berger MS, Mukherjee P, Henry RG. Diffusion tensor fiber tracking of the pyramidal tract from motor points defined by intraoperative cortical stimulation mapping of gliomas. J Neurosurg 2004;101:66-72.
11. Callaghan, PT, Eccles CD, Xia Y. NMR microscopy displacements: k-space and q-space imaging. J Phys E 1988;21:820.
12. Jaermann T, Crelier G, Pruessmann KP, Golay X, Netsch T, van Muiswinkel AM, Mori S, van Zijl PC, Valavanis A, Kollias S, Boesiger P. SENSE-DTI at 3 T. Magn Reson Med 2004;51:230-236.
13. Sodickson DK, Manning WJ. Simultaneous acquisition of spatial harmonics (SMASH): fast imaging with radiofrequency coil arrays. Magn Reson Med 1997;38:591-603.
14. Pruessmann KP, Weiger M, Scheidegger MB, Boesiger P. SENSE: sensitivity encoding for fast MRI. Magn Reson Med 1999;42:952-962.
15. Frank LR. Characterization of anisotropy in high angular resolution diffusion weighted MRI. Magn Reson Med 2002;47:1083-1099.
16. IB. 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. Tuch DS, Reese TG, Wiegell MR, Makris N, Belliveau JW, Wedeen VJ. High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. Magn Reson Med 2002;48:577-582.
18. Özarslan E, Mareci TH. Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging. Magn Reson Med 2003;50:955-965.
19. Liu C, Bammer R, Acar B, Moseley ME. Characterizing non-Gaussian diffusion by using generalized diffusion tensors. Magn Reson Med 2004;51:924-937.
20. Zhan W, Stein EA, Yang Y. Mapping the orientation of intravoxel crossing fibers based on the phase information of diffusion circular spectrum. Neuroimage 2004;23:1358-1369.
21. Tuch DS. Diffusion MRI of complex tissue structure. Ph.D. dissertation, Harvard University-MIT, Cambridge, MA, 2002.
22. Tuch DS, Reese TG, Wiegell MR, Wedeen VJ. Diffusion MRI of complex neural architecture. Neuron 2003;40:885-895.
23. Tuch DS. Q-ball imaging. Magn Reson Med 2004;52:1358-1372.
24. Tuch DS. Q-ball imaging of macaque white matter architecture. Phil Trans R Soc Lond B Biol Sci 2005;360:869-879.
25. Jansons KM, Alexander DC. Persistent angular structure: new insights from diffusion magnetic resonance imaging data. Inverse Problems 2003;19:1031-1046.
26. 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.
27. Perrin M, Poupon C, Rieul B, Leroux P, Constantinesco A, Mangin JF, Lebihan D. Validation of q-ball imaging with a diffusion fibre-crossing phantom on a clinical scanner. Phil Trans R Soc Lond B Biol Sci 2005;360:881-891.
28. Campbell JS, Siddiqi K, Rymar VV, Sadikot AF, Pike GB. Flow-based fiber tracking with diffusion tensor and q-ball data: validation and comparison to principal diffusion direction techniques. NeuroImage 2005;27:725-736.
29. Groemer H. Geometric applications of Fourier series and spherical harmonics. Cambridge: Cambridge University Press; 1996.
30. Bunge HJ. Texture analysis in materials science. London: Butterworths; 1982.
31. Driscoll JR, Healy DM. Asymptotically fast algorithms for spherical and related transforms. In: Proceedings of the 30th Annual Symposium on Foundations of Computer Science, Research Triangle Park, North Carolina, USA, IEEE Computer Society, 1989. p 344-349.
32. Healy DM, Hendriks H, Kim PT. Spherical deconvolution. J Multivariate Anal 1998;67:1-22.
33. Bracewell RN. The Fourier transform and its applications. 3rd ed. New York: McGraw-Hill, 1999.
34. Liang ZP, Boada FE, Constable RT, Haacke EM, Lauterbur PC, Smith MR. Constrained reconstruction methods in MR imaging. Rev Magn Reson Med 1992;4:67-185.
35. Jones DK, Horsfield MA, Simmons A. Optimal strategies for measuring diffusion in anisotropic systems by magnetic resonance imaging. Magn Reson Med 1999;42:515-525.
36. Jones DK. The effect of gradient sampling schemes on measures derived from diffusion tensor MRI: a Monte Carlo study. Magn Reson Med 2004;51:807-815.
37. Dietrick O, Reeder SB, Reiser MF, Schoenberg SO. Influence of parallel imaging and other reconstruction techniques on the measurement of signal-to-noise ratios. In: Proceedings of the 13th Annual Meeting of ISMRM, Miami Beach, FL, USA, 2005. p 158.
38. Driscoll JR, Healy DM. Computing Fourier transforms and convolutions on the 2-sphere. Adv Appl Math 1994;15:202-250.
39. Backus GE. Geophysical interpretation of measurements of average phase velocities of surface waves over great circular and semi-circular paths. Bull Seismol Soc Am 1964;54:571-610.