Robust tensor estimation in diffusion tensor imaging

Journal of Magnetic Resonance

Volumn 213, Issue 1, 2011, Pages 136-144

  Maximov, Ivan I ^a   Grinberg, Farida ^a   Jon Shah, N ^a,b  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

^b RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

Diffusion tensor imaging; Least median squares; Noise correction; Non linear constrained robust regression; Robust tensor estimation

Indexed keywords

DIFFUSION TENSOR IMAGING; LEAST MEDIAN SQUARE; NOISE CORRECTION; NON-LINEAR; ROBUST TENSOR ESTIMATION;

ALGORITHMS; DIFFUSION; ESTIMATION; LEAST SQUARES APPROXIMATIONS; MAGNETIC RESONANCE IMAGING;

TENSORS;

ALGORITHM; ARTICLE; COMPUTER SIMULATION; DIFFUSION TENSOR IMAGING; IMAGE ENHANCEMENT; IMAGE PROCESSING; METHODOLOGY; NONLINEAR SYSTEM; REGRESSION ANALYSIS; SIGNAL NOISE RATIO; STATISTICS;

ALGORITHMS; COMPUTER SIMULATION; DIFFUSION TENSOR IMAGING; IMAGE ENHANCEMENT; IMAGE PROCESSING, COMPUTER-ASSISTED; LEAST-SQUARES ANALYSIS; NONLINEAR DYNAMICS; SIGNAL-TO-NOISE RATIO;

EID: 80055090563     PISSN: 10907807     EISSN: 10960856     Source Type: Journal    
DOI: 10.1016/j.jmr.2011.09.035     Document Type: Article

References (33)

1. H. Johansen-Berg, and T.E.J. Behrens Diffusion MRI. From Quantitative Measurement to In vivo Neuroanatomy 2009 Elsevier London, Burlington, San Diego p. 490
2. C. Beaulieu The basis of the anisotropic water diffusion in the nervous system: a technical review NMR Biomed. 15 2002 435 455 (Pubitemid 36054508)
3. D. Le Bihan The wet mind: water and functional neuroimaging Phys. Med. Biol. 52 2007 R57 R90
4. P.J. Basser, J. Mattiello, and D. Le Bihan MR diffusion tensor and imaging Biophys. J. 66 1994 259 267
5. P.J. Basser, D. Le Bihan, and J. Mattiello Estimation of the effective self-diffusion tensor from NMR spin echo J. Magn. Reson. B 103 1994 247 254
6. C. Pierpaoli, and P.J. Basser Toward a quantitative assessment of diffusion anisotropy Magn. Reson. Med. 36 1996 893 906 (Pubitemid 26396817)
7. Q. Dong, R.C. Welsh, T.L. Chenevert, R.C. Carlos, P. Maly-Sundgren, D.M. Gomez-Hassan, and S.K. Mukherji Clinical applications of diffusion tensor imaging J. Magn. Reson. Imaging 19 2004 6 19
8. C.G. Koay, L.C. Chang, C. Pierpaoli, and P.J. Basser Error propagation framework for diffusion tensor imaging via diffusion tensor representations IEEE Trans. Med. Imaging 26 2007 1017 1034 (Pubitemid 47197684)
9. C.G. Koay, J.D. Carew, A.L. Alexander, P.J. Basser, and M.E. Meyerand Investigation of anomalous estimates of tensor-derived quantities in diffusion tensor imaging Magn. Reson. Med. 55 2006 930 936
10. C.G. Koay, L.C. Chang, J.D. Carew, C. Pierpaoli, and P.J. Basser A unifying theoretical and algorithmic framework for least squares methods of estimation in diffusion tensor imaging J. Magn. Reson. 182 2006 115 125 (Pubitemid 44293446)
11. C.G. Koay Least squares approaches to diffusion tensor estimation D.K. Jones, Diffusion MRI: Theory, Methods, and Applications 2011 Oxford University Press Oxford p. 272
12. P.J. Rousseeuw Tutorial to robust statistics J. Chemom. 5 1991 1 20
13. J.F. Mangin, C. Poupon, C. Clark, D. Le Bihan, and I. Bloch Distortion correction and robust estimation for MR diffusion imaging Med. Imaging Anal. 6 2002 191 198 (Pubitemid 35282827)
14. L.C. Chang, D.K. Jones, and C. Pierpaoli RESTORE: robust estimation of tensors by outlier rejection Magn. Reson. Med. 53 2005 1088 1095 (Pubitemid 40627784)
15. S. Geman, and D.E. McClure Statistical methods for tomographic image reconstruction Bull. Int. Stat. Inst. 52 1987 5 21
16. L. Walker, L.C. Chang, C.G. Koay, N. Sharma, L. Cohen, R. Verma, and C. Pierpaoli Effects of physiological noise in population analysis of diffusion tensor MRI data NeuroImage 54 2010 1168 1177
17. T. Roy Robust non-linear regression analysis J. Chemom. 9 1995 451 457
18. B.A. Landman, P.L. Bazin, S.A. Smith, and J.L. Prince Robust estimation of spatially variable noise fields Magn. Reson. Med. 62 2009 500 509
19. B.A. Landman, P.L. Bazin, and J.L. Prince Estimation and application of spatially variable noise fields in diffusion tensor imaging Magn. Reson. Imaging 27 2009 741 751
20. P.J. Rousseeuw Least median of squares regression J. Am. Stat. Ass. 79 1984 871 880
21. L.M. Li An algorithm for computing exact least-trimmed squares estimate of simple linear regression with constraints Comp. Stat. Data Anal. 48 2005 717 734
22. A.W. Anderson Theoretical analysis of the effects of noise on diffusion tensor imaging Magn. Reson. Med. 46 2001 1174 1188 (Pubitemid 33104306)
23. R.A. Horn, and C.R. Johnson Matrix Analysis 1985 Cambridge University Press Cambridge UK
24. J.C. Pinheiro, and D.G. Bates Unconstrained parametrizations for variance-covariance matrices Stat. Comput. 6 1996 289 296 (Pubitemid 126724266)
25. C.A. Clark, M. Hedehus, and M.E. Moseley In vivo mapping of the fast and slow diffusion tensors in human brain Magn. Reson. Med. 47 2002 623 628 (Pubitemid 34263773)
26. J.H. Jensen, J.A. Helpern, A. Ramani, H. Lu, and K. Kaczynski Diffusional kurtosis imaging: the quantification of non-Gaussian water diffusion by means of magnetic resonance imaging Magn. Reson. Med. 53 2005 1432 1440 (Pubitemid 40734665)
27. F. Grinberg, E. Farrher, J. Kaffanke, A.M. Oros-Peusquens, and N.J. Shah Non-Gaussian diffusion in human brain tissue at high b-factors as examined by a combined diffusion kurtosis and biexponential diffusion tensor analysis NeuroImage 57 2011 1087 1102
28. D.S. Tuch Q-ball imaging Magn. Reson. Med. 52 2004 1358 1372 (Pubitemid 39612825)
29. D.S. Tuch, T.G. Reese, M.R. Wiegell, N. Makris, J.W. Belliveau, and V.J. Wedeen High angular resolution diffusion imaging reveals introvoxel white matter fiber heterogeneity Magn. Reson. Med. 48 2002 577 582
30. B. Jeurissen, A. Leemans, D.K. Jones, J.D. Tournier, and J. Sijbers Probabilistic fiber tracking using the residual bootstrap with constrained spherical deconvolution Hum. Brain Mapping 32 2011 461 479
31. S. Verboven, and M. Hubert LIBRA: a MATLAB library for robust analysis Chemom. Intell. Lab. Syst. 75 2005 127 136 (Pubitemid 40164337)
32. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery Numerical Recipies third ed. 2007 Cambridge University Press Cambridge, UK
33. L.C. Chang, L. Walker, B. Behseta, and C. Pierpaoli Informed RESTORE for removal of physiological noise artifacts in low redundancy DTI data Proc. Int. Soc. Mag. Reson. Med. 19 2011 3898