Acceleration of high angular and spatial resolution diffusion imaging using compressed sensing with multichannel spiral data

Magnetic Resonance in Medicine

Volumn 73, Issue 1, 2015, Pages 126-138

  Mani, Merry ^a   Jacob, Mathews ^b   Guidon, Arnaud ^c   Magnotta, Vincent ^d   Zhong, Jianhui ^e  

^a University of Rochester   (United States)

^b IA United States   (United States)

^c Duke University   (United States)

^d UNIVERSITY OF IOWA   (United States)

^e UNIVERSITY OF ROCHESTER MEDICAL CENTER   (United States)

Author keywords

Compressed sensing; High angular resolution diffusion imaging; High spatial resolution; Incoherent sampling; Joint reconstruction; Non cartesian

Indexed keywords

BIOMEDICAL SIGNAL PROCESSING; COMPRESSED SENSING; COMPUTATIONAL EFFICIENCY; DIFFUSION; GAUSSIAN DISTRIBUTION; IMAGE RESOLUTION; IMAGE SEGMENTATION;

ANGULAR RESOLUTION DIFFUSION; HIGH ANGULAR RESOLUTION DIFFUSION IMAGING; HIGH SPATIAL RESOLUTION; INCOHERENT SAMPLINGS; NON-CARTESIAN; RECONSTRUCTION FRAMEWORKS; SAMPLING AND RECONSTRUCTION; SPIRAL TRAJECTORIES;

SIGNAL RECONSTRUCTION;

ALGORITHM; ARTICLE; DIFFUSION TENSOR IMAGING; DIFFUSION WEIGHTED IMAGING; FRACTIONAL ANISOTROPY; GRAY MATTER; HIGH ANGULAR RESOLUTION DIFFUSION IMAGING; IMAGE RECONSTRUCTION; NOISE; RETROSPECTIVE STUDY; SPATIAL RESOLUTION DIFFUSION IMAGING; ANATOMY AND HISTOLOGY; BRAIN; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; HUMAN; IMAGE ENHANCEMENT; INFORMATION PROCESSING; PROCEDURES; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; STATISTICAL MODEL; WHITE MATTER;

ALGORITHMS; BRAIN; COMPUTER SIMULATION; DATA COMPRESSION; DIFFUSION TENSOR IMAGING; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, STATISTICAL; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; WHITE MATTER;

EID: 84919845718     PISSN: 07403194     EISSN: 15222594     Source Type: Journal    
DOI: 10.1002/mrm.25119     Document Type: Article

References (65)

1. 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.
2. Le Bihan D, Breton E, Lallemand D, Grenier P, Cabanis E, Laval-Jeantet M. MR imaging of intravoxel incoherent motions: application to diffusion and perfusion in neurologic disorders. Radiology 1986;161:401-407.
3. Stejskal EO. Use of spin echoes in a pulsed magnetic-field gradient to study anisotropic, restricted diffusion and flow. J Chem Phys 1965;43:3597.
4. Minati L, Weglarz WP. Physical foundations, models, and methods of diffusion magnetic resonance imaging of the brain: a review. Concepts Magn Reson A 2007;30:278-307.
5. Karampinos DC, Van AT, Olivero WC, Georgiadis JG, Sutton BP. High-resolution diffusion tensor imaging of the human pons with a reduced field-of-view, multishot, variable-density, spiral acquisition at 3 T. Magn Reson Med 2009;62:1007-1016.
6. 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.
7. Oouchi H, Yamada K, Sakai K, Kizu O, Kubota T, Ito H, Nishimura T. Diffusion anisotropy measurement of brain white matter is affected by voxel size: underestimation occurs in areas with crossing fibers. Am J Neuroradiol 2007;28:1102-1106.
8. Kim M, Ronen I, Ugurbil K, Kim D-S. Spatial resolution dependence of DTI tractography in human occipito-callosal region. NeuroImage 2006;32:1243-1249.
9. Zhan L, Leow AD, Jahanshad N, et al. How does angular resolution affect diffusion imaging measures? NeuroImage 2010;49:1357-1371.
10. Sarlls JE, Pierpaoli C. Diffusion-weighted radial fast spin-echo for high-resolution diffusion tensor imaging at 3T. Magn Reson Med 2008;60:270-276.
11. Ye Y, Zhuo Y, An J, Zhou XJ. A navigated non-cpmg turbo spin echo pulse sequence for high resolution diffusion imaging. In Proceedings of the 16th Annual Meeting of ISMRM, Toronto, Canada, 2008. p. 759.
12. Poot DHJ, Jeurissen B, Bastiaensen Y, Veraart J, Van Hecke W, Parizel PM, Sijbers J. Super-resolution for multislice diffusion tensor imaging. Magn Reson Med 2013;69:103-113.
13. Ding Z, Gore JC, Anderson AW. Reduction of noise in diffusion tensor images using anisotropic smoothing. Magn Reson Med 2005;53:485-490.
14. Haldar JP, Wedeen VJ, Nezamzadeh M, Dai G, Schuff N, Liang Z-P. Improved diffusion imaging through SNR-enhancing joint reconstruction. Magn Reson Med 2013;69:277-289.
15. Liu C, Bammer R, Moseley ME. High resolution multi-shot SENSE DTI using self-navigated interleaved spirals (SNAILS). Magn Reson Med 2005a; 13:10.
16. Jaermann T, Pruessmann KP, Valavanis A, Kollias S, Boesiger P. Ultra-high resolution SENSE-DTI at 3 Tesla. Magn Reson Med 2003;11:2003.
17. Rieseberg S, Merboldt K-D, Küntzel M, Frahm J. Diffusion tensor imaging using partial Fourier STEAM MRI with projection onto convex subsets reconstruction. Magn Reson Med 2005;54:486-490.
18. Holdsworth SJ, Skare S, Newbould RD, Bammer R. Robust GRAPPAaccelerated diffusion-weighted readout-segmented (RS)-EPI. Magn Reson Med 2009;62:1629-1640.
19. Bammer R, Keeling SL, Augustin M, Pruessmann KP, Wolf R, Stollberger R, Hartung HP, Fazekas F. Improved diffusion-weighted single-shot echo-planar imaging (EPI) in stroke using sensitivity encoding (SENSE). Magn Reson Med 2001;46:548-554.
20. Kerr AB, Pauly JM, Nishimura DG. Partial k-space acquisition for real-time mr imaging. In Proceedings of the 6th Annual Meeting of ISMRM, Sydney, Australia, 1998. p. 1945.
21. Lin C, Tseng WI, Weng J, Wedeen VJ, Chen J. Reduced encoding of diffusion spectrum imaging with cross-term correction. In Proceedings of 11th Annual Meeting of ISMRM, Toronto, Canada, 2003. p. 2141.
22. Van AT, Halloran RO, Holdsworth S, Bammer R. Rapid diffusion spectrum imaging with partial q-space encoding. In Proceedings of 19th Annual Meeting of ISMRM, Montreal, Canada, 2011. p. 9784.
23. Landman BA, Wan H, Bogovic JA, Bazin P-L, Prince JL. Resolution of crossing fibers with constrained compressed sensing using traditional diffusion tensor MRI. Proc Soc Photo Opt Instrum Eng 2010;7623:76231H.
24. Merlet S, Deriche R. Compressed sensing for accelerated EAP recovery in diffusion MRI. Computational diffusion MRI workshop, MICCAI. Beijing, China, 2010. pp. 14-25.
25. Michailovich O, Rathi Y, Dolui S. Spatially regularized compressed sensing for high angular resolution diffusion imaging. IEEE Trans Med Imaging 2011;30:1100-1115.
26. Menzel MI, Tan ET, Khare K, Sperl JI, King KF, Tao X, Hardy CJ, Marinelli L. Accelerated diffusion spectrum imaging in the human brain using compressed sensing. Magn Reson Med 2011;66:1226-1233.
27. Merlet S, Cheng J, Ghosh A, Deriche R. Spherical polar fourier EAP and odf reconstruction via compressed sensing in diffusion MRI. In: International Symposium on Biomedical Imaging, 2011.
28. Bilgic B, Setsompop K, Cohen-Adad J, Wedeen V, Wald LL, Adalsteinsson E. Accelerated diffusion spectrum imaging with compressed sensing using adaptive dictionaries. Med Image Comput Comput Assist Interv 2012, 15:1-9.
29. Welsh CL, Hsu EW, Di Bella EV. Model-based reconstruction of undersampled DTI data. Magn Reson Med 2013;70:429-440.
30. Wu Y, Zhu Y-J, Tang Q-Y, et al. Accelerated MR diffusion tensor imaging using distributed compressed sensing. Magn Reson Med 2014;71:763-772.
31. Candes E, Romberg J, Tao T. Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans Inf Theory 2006;52:489-509.
32. Donoho D. Compressed sensing. IEEE Trans Inf Theory 2006;52:1289-1306.
33. Lustig M, Donoho D, Santos J, Pauly J. Compressed sensing MRI. IEEE Signal Process Mag 2008;25:72-82.
34. Raj A, Hess C, Mukherjee P. Spatial HARDI: improved visualization of complex white matter architecture with Bayesian spatial regularization. NeuroImage 2011;54:396-409.
35. Jeurissen B, Leemans A, Tournier J-D, Jones DK, Sijbers J. Estimating the number of fiber orientations in diffusion MRI voxels: a constrained spherical deconvolution study. In Proceedings of 18th Annual Meeting of ISMRM, Stockholm, Sweden, 2010. p. 573.
36. Behrens TEJ, Woolrich MW, Jenkinson M, Johansen-Berg H, Nunes RG, Clare S, Matthews PM, Brady JM, Smith SM. Characterization and propagation of uncertainty in diffusion-weighted MR imaging. Magn Reson Med 2003;50:1077-1088.
37. Hosey T, Williams G, Ansorge R. Inference of multiple fiber orientations in high angular resolution diffusion imaging. Magn Reson Med 2005;54:1480-1489.
38. Wang Y, Wang Q, Haldar JP, et al. Quantification of increased cellularity during inflammatory demyelination. Brain 2011;134:3587-3598.
39. Dolui S, Kuurstra A, Michailovich OV. Rician compressed sensing for fast and stable signal reconstruction in diffusion MRI. In Proceedings of SPIE Medical Imaging, Vol. 83144, San Diego, California, USA, 2012, p. 10.
40. Lam F, Babacan SD, Haldar JP, Schuff N, Liang Z-P. Denoising diffusion-weighted MR magnitude image sequences using low rank and edge constraints. In IEEE International Symposium on Biomedical Imaging (ISBI), Barcelona, Spain, 2012, pp. 1401-1404.
41. Basu S, Fletcher T, Whitaker R. Rician noise removal in diffusion tensor MRI. Med Image Comput Comput Assist Interv 2006;9:117-125.
42. Liu C, Bammer R, Kim D-H, Moseley ME. Self-navigated interleaved spiral (SNAILS): application to high-resolution diffusion tensor imaging. Magn Reson Med 2004;52:1388-1396.
43. Mani M, Jacob M, Guidon A, Liu C, Song A, Magnotta V, Zhong J. Acceleration of high angular and spatial resolution diffusion imaging using compressed sensing. In IEEE International Symposium on Biomedical Imaging (ISBI), Barcelona, Spain, 2012a, pp. 326-329.
44. Behrens TEJ, Berg HJ, Jbabdi S, Rushworth MFS, Woolrich MW. Probabilistic diffusion tractography with multiple fibre orientations: What can we gain? NeuroImage 2007;34:144-155.
45. Pierpaoli C, Jezzard P, Basser P, Barnett A, Chiro G. Diffusion tensor MR imaging of the human brain. Radiology 1996;201:637-648.
46. 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. Magn Reson Med 2010;64:554-566.
47. Liu C, Moseley ME, Bammer R. Simultaneous phase correction and SENSE reconstruction for navigated multi-shot DWI with noncartesian k-space sampling. Magn Reson Med 2005b; 54:1412-1422.
48. Uecker M, Karaus A, Frahm J. Inverse reconstruction method for segmented multishot diffusion-weighted MRI with multiple coils. Magn Reson Med 2009;62:1342-1348.
49. Gribonval R, Nielsen M. Sparse representations in unions of bases. IEEE Trans Inf Theory 2003;49:3320-3325.
50. Donoho DL. Optimally sparse representation in general (nonorthogonal) dictionaries via ell 1 minimization. Proc Natl Acad Sci 2003;100:2197-2202.
51. Daubechies I, DeVore R, Fornasier M, Güntürk CS. Iteratively reweighted least squares minimization for sparse recovery. Commun Pure Appl Math 2010;63:1-38.
52. Bissantz N, Dümbgen L, Munk A, Stratmann B. Convergence analysis of generalized iteratively reweighted least squares algorithms on convex function spaces. SIAM J Optim 2009;19:1828-1845.
53. Wohlberg B, Rodriguez P. An iteratively reweighted norm algorithm for minimization of total variation functionals. IEEE Signal Process Lett 2007;14:948-951.
54. Jacob M. Efficient NUFFT algorithm for non-Cartesian MRI reconstruction. In 2009 IEEE International Symposium on Biomedical Imaging: from Nano to Macro 2009, Boston, Massachusetts, USA, 2009, pp. 117-120.
55. Ramani S, Blu T, Unser M. Monte-Carlo sure: a black-box optimization of regularization parameters for general denoising algorithms. IEEE Trans Image Process 2008;17:1540-1554.
56. Scherzer O. The use of Morozov's discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems. Computing 1993;51:45-60.
57. Belge M, Kilmer ME, Miller EL. Efficient determination of multiple regularization parameters in a generalized l-curve framework. Inverse Probl 2002;18:1161.
58. Bhave S, Eslami R, Jacob M. Sparse spectral deconvolution algorithm for noncartesian MR spectroscopic imaging. Magn Reson Med 2014;71:469-476.
59. Ramani S, Liu Z, Rosen J, Nielsen J, Fessler J. Regularization parameter selection for nonlinear iterative image restoration and MRI reconstruction using GCV and SURE-based methods. IEEE Trans Image Process 2012;21:1-14.
60. Candes EJ, Sing-Long CA, Trzasko JD. Unbiased risk estimates for singular value thresholding and spectral estimators. IEEE Trans Signal Process 2013;61:4643-4657.
61. Mani M, Jacob M, Guidon A, Magnotta V, Zhong J. Accelerating non-Cartesian sense for large coil arrays: application to motion compensation in multishot DWI. In IEEE International Symposium on Biomed Imaging (ISBI), Barcelona, Spain, 2012b, pp. 406-409.
62. Afonso MV, Bioucas-Dias JM, Figueiredo MAT. An augmented lagrangian approach to the constrained optimization formulation of imaging inverse problems. IEEE Trans Image Process 2011;20:681-695.
63. Yin W, Osher S, Goldfarb D, Darbon J. Bregman Iterative algorithms for l1-minimization with applications to compressed sensing. SIAM J Imaging Sci 2008;1:143-168.
64. Khachaturian MH, Wisco JJ, Tuch DS. Boosting the sampling efficiency of q-Ball imaging using multiple wavevector fusion. Magn Reson Med 2007;57:289-296.
65. Wu Y-C, Field AS, Alexander AL. Computation of diffusion function measures in-space using magnetic resonance hybrid diffusion imaging. IEEE Trans Med Imaging 2008;27:858-865.