Diffusion MRI signal reconstruction with continuity constraint and optimal regularization

Medical Image Analysis

Volumn 16, Issue 6, 2012, Pages 1113-1120

  Caruyer, Emmanuel ^a,b   Deriche, Rachid ^a,b  

^a INRIA   (France)

^b NONE   (France)

Author keywords

Diffusion MRI; Laplace regularization; Q space imaging

Indexed keywords

DIFFUSION; LAPLACE TRANSFORMS; MAGNETIC RESONANCE IMAGING; SIGNAL RECONSTRUCTION; SIGNAL SYSTEMS; SIGNAL TO NOISE RATIO;

CONTINUITY CONSTRAINTS; DIFFUSION ATTENUATION; DIFFUSION MRIS; GENERALIZED CROSS VALIDATION; LAPLACE REGULARIZATION; OPTIMAL REGULARIZATION; Q-SPACE; SYNTHETIC AND REAL DATA;

BIOMEDICAL SIGNAL PROCESSING;

ARTICLE; DIFFUSION WEIGHTED IMAGING; IMAGE RECONSTRUCTION; IMAGING SYSTEM; PRIORITY JOURNAL; SIGNAL PROCESSING; SPHERICAL POLAR FOURIER;

EID: 84866073217     PISSN: 13618415     EISSN: 13618423     Source Type: Journal    
DOI: 10.1016/j.media.2012.06.011     Document Type: Article

References (32)

1. Abramowitz, M., Stegun, I.A., 1970. Handbook of Mathematical Functions, Dover.
2. Aganj I., Lenglet C., Sapiro G., Yacoub E., Ugurbil K., Harel N. Reconstruction of the ODF in single and multiple shell q-ball imaging within constant solid angle. Magnetic Resonance in Medicine 2010, 64:554-566.
3. Assaf Y., Blumenfeld-Katzir T., Yovel Y., Basser P.J. Axcaliber: a method for measuring axon diameter distribution from diffusion MRI. Magnetic Resonance in Medicine 2008, 59:1347-1354.
4. Assemlal H., Tschumperlé D., Brun L. Efficient and robust computation of pdf features from diffusion MR signal. Medical Image Analysis 2009, 13:715-729.
5. Assemlal H.E., Campbell J., Pike B., Siddiqi K. Apparent intravoxel fibre population dispersion (FPD) using spherical harmonics. Medical Image Computing and Computer-Assisted Intervention MICCAI 2011 2011, 157-165. Springer, Berlin/Heidelberg. G. Fichtinger, A. Martel, T. Peters (Eds.).
6. Basser P.J., Mattiello J., Le Bihan D. Estimation of the effective self-diffusion tensor from the nmr spin echo. Journal of Magnetic Resonance B 1994, 247-254.
7. Callaghan P.T. Principles of Nuclear Magnetic Resonance Microscopy 1991, Oxford University Press, Oxford.
8. 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.
9. Caruyer, E., Lenglet, C., Sapiro, G., Deriche, R., 2011b. Incremental gradient table for multiple q-shells diffusion MRI. In: HBM 17th Annual Meeting, Québec, Canada.
10. Chan T., Shen J. Image Processing and Analysis -Variational, PDE, Wavelet, and Stochastic Methods 2005, SIAM, Philadelphia.
11. 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.
12. 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.
13. Cluskey S., Ramsden D.B. Mechanisms of neurodegeneration in amyotrophic lateral sclerosis. Molecular Pathology 2001, 54:386-392.
14. Craven P., Wahba G. Smoothing noisy data with spline functions. Numerische Mathematik 1985, 31:377-403.
15. 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.
16. Descoteaux M., Angelino E., Fitzgibbons S., Deriche R. Regularized, fast, and robust analytical q-ball imaging. Magnetic Resonance in Medicine 2007, 58:497-510.
17. Descoteaux M., Deriche R., Bihan D.L., Mangin J.F., Poupon C. Multiple q-shell diffusion propagator imaging. Medical Image Analysis 2011, 15:603-621.
18. Descoteaux, M., Koay, C.G., Basser, P.J., Deriche, R., 2010. Analytical q-ball imaging with optimal regularization. In: ISMRM 18th Scientific Meeting and Exhibition.
19. 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 analysis of 10 tractography algorithms on a realistic diffusion MR phantom. Neuroimage 2011, 56:220-234.
20. Golub G.H., Van Loan C.F. Matrix Computations 1983, The John Hopkins University Press, Baltimore, Maryland.
21. Hansen P.C. The l-curve and its use in the numerical treatment of inverse problems. Advances in Computational Bioengineering 2000, 119-142. WIT Press. P. Johnstonin (Ed.).
22. 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.
23. Jones, E., Oliphant, T., Peterson, P., et al., 2001. SciPy: Open source scientific tools for Python.
24. Koay C.G., Özarslan E., Basser P.J. A signal transformational framework for breaking the noise floor and its applications in MRI. Journal of Magnetic Resonance 2009, 197:108-119.
25. Özarslan E., Mareci T.H. Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution imaging. Magnetic Resonance in Medicine 2003, 50:955-965.
26. Özarslan E., Shemesh N., Koay C.G., Cohen Y., Basser P.J. Nmr characterization of general compartment size distributions. New Journal of Physics 2011, 13.
27. Piven J., Bailey J., Ranson B., Arndt S. An MRI study of the corpus callosum in autism. American Journal of Psychiatry 1997, 154:1051-1056.
28. 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, 60:1276-1283.
29. Stejskal E., Tanner J. Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient. Journal of Chemical Physics 1965, 42:288-292.
30. Tuch D. Q-ball imaging. Magnetic Resonance in Medicine 2004, 52:1358-1372.
31. Wedeen V., Hagmann P., Tseng W., Reese T., Weisskoff R. Mapping complex tissue architecture with diffusion spectrum magnetic resonance imaging. Magnetic Resonance in Medicine 2005, 54:1377-1386.
32. You Y.L., Kaveh M. Fourth-order partial differential equations for noise removal. IEEE Transactions on Image Processing 2000, 9:1723-1730.