Continuous diffusion signal, EAP and ODF estimation via Compressive Sensing in diffusion MRI

Medical Image Analysis

Volumn 17, Issue 5, 2013, Pages 556-572

  Merlet, Sylvain L ^a   Deriche, Rachid ^a  

^a INRIA   (France)

Author keywords

Compressive Sensing; Diffusion MRI; Ensemble Average Propagator; MRI; Orientation Distribution Function; White matter

Indexed keywords

COMPRESSIVE SENSING; DIFFUSION MRIS; ENSEMBLE AVERAGES; ORIENTATION DISTRIBUTION FUNCTION; WHITE MATTER;

COMPRESSED SENSING; MAGNETIC RESONANCE IMAGING; RECOVERY; SIGNAL RECONSTRUCTION;

DIFFUSION;

ARTICLE; CLINICAL PROTOCOL; DIFFUSION WEIGHTED IMAGING; ENSEMBLE AVERAGE PROPAGATOR; IMAGE ANALYSIS; ORIENTATION DISTRIBUTION FUNCTION; PRIORITY JOURNAL; RADIOLOGICAL PARAMETERS; SIGNAL PROCESSING; WHITE MATTER;

ALGORITHMS; BRAIN; DATA COMPRESSION; DIFFUSION MAGNETIC RESONANCE IMAGING; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 84876713856     PISSN: 13618415     EISSN: 13618423     Source Type: Journal    
DOI: 10.1016/j.media.2013.02.010     Document Type: Article

References (58)

1. Aganj I., Lenglet C., Sapiro G., Yacoub E., Ugurbil K., Harel N. Reconstruction of the orientation distribution function in single- and multiple-shell q-ball imaging within constant solid angle. Magnetic Resonance in Medicine 2010, 64:554-566.
2. Anderson A.W. Measurement of fiber orientation distributions using high angular resolution diffusion imaging. Magnetic Resonance in Medicine 2005, 54:1194-1206.
3. Assemlal H., Tschumperlé D., Brun L. Efficient and robust computation of pdf features from diffusion MR signal. Medical Image Analysis 2009, 13:715-729.
4. Basser P.J., Mattiello J., Le Bihan D. Estimation of the effective self-diffusion tensor from the NMR spin echo. Journal of Magnetic Resonance, Series B 1994, 103:247-254.
5. Basser P.J., Mattiello J., Le Bihan D. Mr diffusion tensor spectroscopy and imaging. Biophysical Journal 1994, 66:259-267.
6. Beck A., Teboulle M. A fast iterative shrinkage-thresholding algorithm for linear inverse problems. SIAM Journal on Imaging Sciences 2009, 2:183-202. http://epubs.siam.org/doi/pdf/10.1137/080716542.
7. Bilgic B., Setsompop K., Cohen-Adad J., Yendiki A., Wald L.L., Adalsteinsson E. Accelerated diffusion spectrum imaging with compressed sensing using adaptive dictionaries. Magnetic Resonance in Medicine 2012, 68:1747-1754.
8. Candès E. The restricted isometry property and its implications for compressed sensing. Comptes Rendus Mathematique 2008, 346:589-592.
9. Candes E., Plan Y. A probabilistic and RIPless theory of compressed sensing. IEEE Transactions on Information Theory 2011, 57:7235-7254.
10. Candes E., Wakin M. An introduction to compressive sampling. IEEE Signal Processing Magazine 2008, 25:21-30.
11. Cands E., Romberg J. Sparsity and incoherence in compressive sampling. Inverse Problems 2007, 23:969.
12. Cands E.J., Eldar Y.C., Needell D., Randall P. Compressed sensing with coherent and redundant dictionaries. Applied and Computational Harmonic Analysis 2011, 31:59-73.
13. Caruyer, E., Cheng, J., Lenglet, C., Sapiro, G., Jiang, T., Deriche, R., 2011a. Optimal design of multiple q-shells experiments for diffusion MRI. In: MICCAI Workshop on Computational Diffusion MRI - CDMRI'11, Toronto, Canada.
14. Caruyer, E., Lenglet, C., Sapiro, G., Deriche, R., 2011b. Incremental gradient table for multiple q-shells diffusion MRI. In: HBM 17th Annual Meeting, Quebec, Canada.
15. Chartrand, R., 2009. Fast algorithms for nonconvex compressive sensing: MRI reconstruction from very few data.
16. Cheng J., Ghosh A., Deriche R., Jiang T. Model-free, regularized, fast, and robust analytical orientation distribution function estimation. Medical Image Computing and Computer-Assisted Intervention - MICCAI 2010, 648-656. Springer.
17. Cheng, J., Ghosh, A., Jiang, T., Deriche, R., 2010b. Model-free and analytical EAP reconstruction via spherical polar fourier diffusion MRI. In: Medical Image Computing and Computer-Assisted Intervention - MICCAI, pp. 590-597.
18. Cheng, J., Jiang, T., Deriche, R., 2011a. Theoretical analysis and practical insights on EAP estimation via a unified HARDI framework. In: MICCAI workshop on Computational Diffusion MRI.
19. Cheng, J., Merlet, S., Caruyer, E., Ghosh, A., Jiang, T., Deriche, R., 2011b. Compressive sensing ensemble average propagator estimation via l1 spherical polar fourier imaging. In: MICCAI Workshop on Computational Diffusion MRI.
20. Cook, P.A., Bai, Y., Nedjati-Gilani, S., Seunarine, K.K., Hall, M.G., Parker, G.J., Alexander, D.C., 2006. Camino: Open-source diffusion-MRI reconstruction and processing. In: 14th ISMRM, Seattle, USA.
21. Craven P., Wahba G. Smoothing noisy data with spline functions. Numerische Mathematik 1985, 31:377-403.
22. Deriche R., Calder J., Descoteaux M. Optimal real-time q-ball imaging using regularized Kalman filtering with incremental orientation sets. Medical Image Analysis 2009, 13:564-579.
23. Descoteaux M., Angelino E., Fitzgibbons S., Deriche R. Regularized, fast, and robust analytical q-ball imaging. Magnetic Resonance in Medicine 2007, 58:497-510.
24. Descoteaux M., Deriche R., Le Bihan D., Mangin J.F., Poupon C. Multiple q-shell diffusion propagator imaging. Medical Image Analysis 2011, 15:603-621.
25. Donoho D. Compressed sensing. IEEE Transactions on Information Theory 2006, 52:1289-1306.
26. Donoho D. Method and apparatus for compressed sensing. US Patent 2010, 7(646):924.
27. Fillard P., Descoteaux M., Goh A., Gouttard S., Jeurissen B., Malcolm J., Ramirez-Manzanares A., Reisert M., Sakaie K., Tensaouti F., Yo T., Mangin J.F., Poupon C. Quantitative evaluation of 10 tractography algorithms on a realistic diffusion mr phantom. NeuroImage 2011, 56:220-234.
28. Ganesh, A., Edward, V. R. D., Reordering for Improved Constrained Reconstruction from Undersampled k-Space Data, International Journal of Biomedical Imaging 2008, pp.12, http://dx.doi.org/10.1155/2008/341684.
29. Gramfort A., Poupon C., Descoteaux M. Sparse DSI: Learning DSI Structure for Denoising and Fast Imaging 2012, Springer, (pp. 288-296).
30. Guo, W., Yin, W., 2010. Edgecs: Edge guided compressive sensing reconstruction. Rice CAAM Report TR10 2, p. 30.
31. Hosseinbor A., Chung M., Wu Y.C., Alexander A. Bessel fourier orientation reconstruction: an analytical EAP reconstruction using multiple shell acquisitions in diffusion MRI. Medical Image Computing and Computer-Assisted Intervention - MICCAI 2011 2011, 217-225. Springer, Berlin/Heidelberg. G. Fichtinger, A. Martel, T. Peters (Eds.).
32. Jian B., Vemuri B.C., zarslan E., Carney P.R., Mareci T.H. A novel tensor distribution model for the diffusion-weighted MR signal. NeuroImage 2007, 37:164-176.
33. Jones D., Horsfield M., Simmons A. Optimal strategies for measuring diffusion in anisotropic systems by magnetic resonance imaging. Magnetic Resonance in Medicine 1999, 42:515-525.
34. Le Bihan D., Breton E. Imagerie de diffusion in vivo par résonnance magnétique nucléaire. CR Académie des Sciences 1985, 1109-1112.
35. Lustig M., Donoho D., Pauly J.M. Sparse MRI: the application of compressed sensing for rapid mr imaging. Magnetic Resonance in Medicine 2007, 58:1182-1195.
36. Menzel M.I., Tan E.T., Khare K., Sperl J.I., King K.F., Tao X., Hardy C.J., Marinelli L. Accelerated diffusion spectrum imaging in the human brain using compressed sensing. Magnetic Resonance in Medicine 2011, 66:1226-1233.
37. Merboldt K.D., Hanicke W., Frahm J. Self-diffusion nmr imaging using stimulated echoes. Journal of Magnetic Resonance 1985, 64(1969):479-486.
38. Merlet, S., Deriche, R., 2010. Compressed sensing for accelerated EAP recovery in diffusion MRI. In: Proceedings Computational Diffusion MRI - MICCAI Workshop.
39. Merlet S., Caruyer E., Deriche R. Impact of radial and angular sampling on multiple shells acquisition in diffusion MRI. MICCAI 2011, 113-121. Springer.
40. Merlet, S., Cheng, J., Ghosh, A., Deriche, R., 2011b. Spherical polar fourier EAP and ODF reconstruction via compressed sensing in diffusion MRI. In: Proceedings of ISBI.
41. Merlet S., Caruyer E., Deriche R. Parametric Dictionary Learning for Modeling EAP and ODF in Diffusion MRI 2012, Springer, (pp. 10-17).
42. Michailovich O., Rathi Y. On approximation of orientation distributions by means of spherical ridgelets. IEEE Transactions on Image Processing 2010, 19:461-477.
43. Ozarslan, E., Koay, C., Shepherd, T., Blackband, S., Basser, P., 2009. Simple harmonic oscillator based reconstruction and estimation for three-dimensional q-space MRI. In: ISMRM 17th Annual Meeting and Exhibition, Honolulu, pp. 1396.
44. Poupon C., Rieul B., Kezele I., Perrin M., Poupon F., Mangin J.F. New diffusion phantoms dedicated to the study and validation of high-angular-resolution diffusion imaging (HARDI) models. Magnetic Resonance in Medicine 2008, 60:1276-1283.
45. Rathi Y., Michailovich O., Setsompop K., Bouix S., Shenton M., Westin C. Sparse multi-shell diffusion imaging. MICCAI 2011, 58-65. Springer.
46. Ryzhik I., Jeffrey A., Zwillinger D. Table of Integrals, Series and Products 2007, Academic Press.
47. Saint-Amant, E., Descoteaux, M., 2011. Sparsity characterization of the diffusion propagator, in: Proceedings of ISMRM.
48. Stejskal E.O., Tanner J.E. Spin diffusion measurements: Spin echoes in the presence of a time-dependent field gradient. The Journal of Chemical Physics 1965, 42:288-292.
49. Taylor D., Bushell M. The spatial mapping of translational diffusion coefficients by the nmr imaging technique. Physics in Medicine and Biology 1985, 30:345-349.
50. Tristán-Vega, A., Westin, C.F., 2011. n-Vega and Westin (2011). Probabilistic ODF estimation from reduced HARDI data with sparse regularization. Medical Image Computing and Computer-Assisted Intervention-MICCAI, pp. 182-190.
51. Tristn-Vega A., Westin C.F., Aja-Fernndez S. Estimation of fiber orientation probability density functions in high angular resolution diffusion imaging. NeuroImage 2009, 47:638-650.
52. Tuch D.S. Q-ball imaging. Magnetic Resonance in Medicine 2004, 52:1358-1372.
53. Ward R. Compressed sensing with cross validation. IEEE Transactions on Information Theory 2009, 55:5773-5782.
54. 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, 54:1377-1386.
55. Wu Y.C., Alexander A.L. Hybrid diffusion imaging. NeuroImage 2007, 36:617-629.
56. Ye W., Vemuri B., Entezari A. An over-complete dictionary based regularized reconstruction of a field of ensemble average propagators. 2012 9th IEEE International Symposium on Biomedical Imaging (ISBI) 2012, 940-943. IEEE.
57. Zarslan E., Shepherd T.M., Vemuri B.C., Blackband S.J., Mareci T.H. Resolution of complex tissue microarchitecture using the diffusion orientation transform (dot). NeuroImage 2006, 31:1086-1103.
58. Zibulevsky M., Elad M. L1-l2 optimization in signal and image processing. IEEE Signal Processing Magazine 2010, 27:76-88.