Spherical wavelet transform for ODF sharpening

Medical Image Analysis

Volumn 14, Issue 3, 2010, Pages 332-342

  Kezele, I ^a   Descoteaux, M ^a   Poupon, C ^a   Poupon, F ^a   Mangin, J F ^a  

^a DIF   (France)

Author keywords

" trous" algorithm; Diffusion MRI; Multiresolution analysis; Orientation distribution function (ODF); Q Ball imaging; Spherical deconvolution; Spherical wavelets

Indexed keywords

ALGORITHM EFFICIENCY; ANGULAR FREQUENCIES; BASIS FUNCTIONS; BRAIN DATA; DATA SETS; DE-NOISING; DIFFERENT FREQUENCY; DIFFUSION PROCESS; FIBER BUNDLES; FIBER ORIENTATIONS; FIBER TRACKING; IN-DIFFUSION; MORPHOMETRY; MULTI SCALE ANALYSIS; MULTIPLE FIBER ORIENTATION; MULTIPLE FREQUENCY; ORIENTATION DISTRIBUTION FUNCTION; PROBABILISTIC APPROACHES; Q-BALL IMAGING; RADON TRANSFORM; RECONSTRUCTION METHOD; RECONSTRUCTION TECHNIQUES; SPHERICAL DECONVOLUTION; SPHERICAL WAVELETS; TRACTOGRAPHY; WHITE MATTER; WHITE MATTER FIBERS;

ALGORITHMS; CONVOLUTION; DATA COMPRESSION; DECONVOLUTION; DIFFUSION; DISTRIBUTION FUNCTIONS; FIBERS; FREQUENCY BANDS; MULTIRESOLUTION ANALYSIS; REPAIR; SPHERES;

DATA HANDLING;

ALGORITHM; ARTICLE; BRAIN MAPPING; IMAGE DISPLAY; IMAGE PROCESSING; IMAGE RECONSTRUCTION; MORPHOMETRICS; NEUROIMAGING; PRIORITY JOURNAL; PROBABILITY; SIGNAL NOISE RATIO; STATISTICAL ANALYSIS; WAVEFORM; WHITE MATTER;

ALGORITHMS; BRAIN; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MAGNETIC RESONANCE IMAGING; PATTERN RECOGNITION, AUTOMATED; PHANTOMS, IMAGING; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 77951640175     PISSN: 13618415     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.media.2010.01.002     Document Type: Article

References (44)

1. Aganj, I., Lenglet, C., Sapiro, G., Yacoub, E., Ugurbil, K., Harel, N., 2009. Multiple q-shell ODF reconstruction in q-ball imaging. In: Medical Image Computing and Computer-Assisted Intervention (MICCAI), London, United Kingdom, pp. 423-431.
2. Alexander D.C., Barker G.J., Arridge S.R. Detection and modeling of non-gaussian apparent diffusion coefficient profiles in human brain data. Magnetic Resonance in Medicine 2002, 48(2):331-340.
3. Assaf Y., Basser P.J. Composite hindered and restricted model of diffusion (CHARMED) MR imaging of the human brain. NeuroImage 2005, 27(1):48-58.
4. Assemlal H.-E., Tschumperlé D., Brun L. Efficient and robust computation of pdf features. Medical Image Analysis 2009, 13(5):715-729.
5. Behrens T.E.J., Woolrich M.W., Jenkinson M., Johansen-Berg H., Nunes R.G., Clare S., Matthews P.M., Brady J.M., Smith S.M. Characterization and propagation of uncertainty in diffusion-weighted MR imaging. Magnetic Resonance in Medicine 2003, 50:1077-1088.
6. Bloy, L., Verma, R., 2008. On computing the underlying fiber directions from the diffusion orientation distribution function. In: MICCAI 08.
7. Callaghan P.T. Principles of Nuclear Magnetic Resonance Microscopy 1991, Oxford University Press, Oxford.
8. Canales-Rodríguez E.J., Melie-García L., Iturria-Medina Y. Mathematical description of q-space in spherical coordinates: exact q-ball imaging. Journal of Physics E Scientific Instruments Magnetic Resonance in Medicine 2009, 61(6):1350-1367.
9. Candes E.J., Donoho D.L. Ridgelets: a key to high-dimensional intermittency. Philosophical Transactions of the Royal Society 1999, 357:2495-2509.
10. Dell'Acqua, F., Scifo, P., Rizzo, G., Scotti, G., Fazio, F., 2008. A modified damped Richardson-Lucy algorithm to improve the estimation of fiber orientations in spherical deconvolution. In: International Society for Magnetic Resonance in Medicine.
11. M. Descoteaux, 2008. High Angular Resolution Diffusion MRI: from Local Estimation to Segmentation and Tractography. PhD thesis, Université de Nice-Sophia Antipolis.
12. Descoteaux, M., Angelino, E., Fitzgibbons, S., Deriche, R., 2005. A Linear and Regularized ODF Estimation Algorithm to Recover Multiple Fibers in q-ball Imaging. Technical Report 5768, INRIA Sophia Antipolis, November 2005.
13. Descoteaux M., Angelino E., Fitzgibbons S., Deriche R. Apparent diffusion coefficients from high angular resolution diffusion imaging: estimation and applications. Magnetic Resonance in Medicine 2006, 56:395-410.
14. Descoteaux M., Angelino E., Fitzgibbons S., Deriche R. Regularized, fast, and robust analytical q-ball imaging. Magnetic Resonance in Medicine 2007, 58(3):497-510.
15. Descoteaux M., Deriche R., Knösche T.R., Anwander A. Deterministic and probabilistic tractography based on complex fibre orientation distributions. IEEE Transactions in Medical Imaging 2009, 28(2):269-286.
16. Descoteaux, M., Deriche, R., LeBihan, D., Mangin, J.-F., Poupon, C., 2009b. Diffusion Propagator Imaging: Using Laplace's Equation and Multiple Shell Acquisitions to Reconstruct the Diffusion Propagator, vol. 21, p. 1 13.
17. Frank L.R. Characterization of anisotropy in high angular resolution diffusion-weighted MRI. Magnetic Resonance in Medicine 2002, 47(6):1083-1099.
18. Ghosh, A., Tsigaridis, E., Descoteaux, M., Mourrain, P., Deriche, R., 2008. A polynomial based approach to extract the maxima of an antipodally symmetric spherical function and its application to extract fiber directions from the orientation distribution function in diffusion MRI. In: Computational Diffusion MRI Workshop, MICCAI 08.
19. Hess C.P., Mukherjee P., Han E.T., Xu D., Vigneron D.B. q-Ball reconstruction of multimodal fiber orientations using the spherical harmonic basis. Magnetic Resonance in Medicine 2006, 56:104-117.
20. Jansons K.M., Alexander D.C. Persistent angular structure: new insights ffom diffusion magnetic resonance imaging data. Inverse Problems 2003, 19:1031-1046.
21. Jian B., Vemuri B.C. A unified computational framework for deconvolution to reconstruct multiple fibers from diffusion weighted MRI. IEEE Transactions on Medical Imaging 2007, 26(11):1464-1471.
22. Kaden E., Knosche T.R., Anwander A. Parametric spherical deconvolution: inferring anatomical connectivity using diffusion MR imaging. NeuroImage 2007, 37:474-488.
23. Kezele, I., Descoteaux, M., Poupon, C., Abrial, P., Poupon, F., Mangin, J.-F., 2008. Multiresolution decomposition of HARDI and ODF profiles using spherical wavelets. In: Computational Diffusion MRI Workshop, MICCAI 08.
24. Mallat D.S. A Wavelet Tour of Signal Processing 1999, Academic Press.
25. Michailovich, O.V., Rathi, Y., 2008. On approximation of orientation distributions by means of spherical ridgelets. In: IEEE International Symposium on Biomedical Imaging: From Nano to Macro.
26. Murday J.S., Cotts R.M. Self-diffusion coefficient of liquid lithium. Journal of Chemical Physics 1968, 48:4938-4945.
27. Neuman C.H. Spin echo of spins diffusing in a bounded medium. Journal of Chemical Physics 1974, 60(11):4508-4511.
28. Ozarslan E., Mareci T. Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution imaging. Magnetic Resonance in Medicine 2003, 50:955-965.
29. Ozarslan E., Shepherd T.M., Vemuri B.C., Blackband S.J., Marec T.H. Resolution of complex tissue microarchitecture using the diffusion orientation transform (DOT). NeuroImage 2006, 31:1086-1103.
30. Ozarslan, E., Koay, C.G., Shepherd, T., Blackband, S., Basser, P.J., 2009. Simple harmonic oscillator based reconstruction and estimation for three-dimensional q-space (MRI). In: International Society for Magnetic Resonance in Medicine (ISMRM), p. 1396.
31. Pierpaoli C., Basser P.J. Toward a quantitative assessment of diffusion anisotropy. Magnetic Resonance in Medicine 1996, 36:893-906.
32. Poupon, C., Poupon, F., Allirol, L., Mangin, J.-F., 2006. A database dedicated to anatomo-functional study of human brain connectivity. In: Twelfth Annual Meeting of the Organization for Human Brain Mapping (HBM).
33. Poupon C., Rieul B., Kezele I., Perrin M., Poupon F., Mangin J.-F. New diffusion phantoms dedicated to the study and validation of HARDI models. Magnetic Resonance in Medicine 2008, 60(6):1276-1283.
34. Stanisz G.J. Diffusion MR in biological systems: tissue compartments and exchange. Israel Journal of Chemistry 2003, 43:33-44.
35. Stanisz G.J., Szafer A., Wright G.A., Henkelman R.M. An analytical model of restricted diffusion in bovine optic nerve. Magnetic Resonance in Medicine 1997, 37:103-111.
36. Starck J.-L., Murtagh F. Astronomical Image and Data Analysis 2006, Springer.
37. Starck J.-L., Moudden Y., Abrial P., Nguyen M. Wavelets, ridgelets, and curvelets on the sphere. Astronomy and Astrophysics 2006, 446:1191-1204.
38. Tournier J.-D., Calamante F., Gadian D.G., Connelly A. Direct estimation of the fiber orientation density function from diffusion-weighted MRI data using spherical deconvolution. NeuroImage 2004, 23:1176-1185.
39. Tournier J.-D., Calamante F., Connelly A. Robust determination of the fibre orientation distribution in diffusion MRI: non-negativity constrained super-resolved spherical deconvolution. NeuroImage 2007, 35(4):1459-1472.
40. Tristàn-Vega, A., Aja-Fernàndez, S., Westin, C.-F., 2009. On the blurring of the Funk-Radon transform in q-ball imaging. In: Medical Image Computing and Computer-assisted Intervention (MICCAI), London, United Kingdom, pp. 415-422.
41. Tuch D. q-Ball imaging. Magnetic Resonance in Medicine 2004, 52(6):1358-1372.
42. Vestergaard-Poulsen P., Hansen B., Ostergaard L., Jakobsen R. Microstructural changes in ischemic cortical gray matter predicted by a model of diffusion-weighted MRI. Journal of Magnetic Resonance Imaging 2007, 26:529-540.
43. Wedeen V.J., Hagmann P., Tseng W.-Y.I., Reese T.G., Weisskoff R.M. Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging. Magnetic Resonance in Medicine 2005.
44. Wu Y.-C., Alexander A.L. Hybrid diffusion imaging. NeuroImage 2007, 36:617-629.