Efficient anisotropic filtering of diffusion tensor images

Magnetic Resonance Imaging

Volumn 28, Issue 2, 2010, Pages 200-211

  Xu, Qing ^a,b   Anderson, Adam W ^a,b   Gore, John C ^a,b   Ding, Zhaohua ^a,b  

^a VANDERBILT UNIVERSITY   (United States)

^b VANDERBILT UNIVERSITY   (United States)

Author keywords

Anisotropic smoothing; Diffusion tensor images; Semi implicit scheme

Indexed keywords

ACCURACY; ALGORITHM; ANISOTROPY; ARTICLE; DIFFUSION TENSOR IMAGING; FILTRATION; HUMAN; HUMAN EXPERIMENT; IMAGE ANALYSIS; IMAGE PROCESSING; IMAGE RECONSTRUCTION; MATHEMATICAL COMPUTING; NEUROIMAGING; NORMAL HUMAN; PRIORITY JOURNAL; QUANTITATIVE STUDY; SIGNAL NOISE RATIO;

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

EID: 77349083444     PISSN: 0730725X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mri.2009.10.001     Document Type: Article

References (26)

1. Basser P.J., Mattiello J., Le Bihan D. MR diffusion tensor spectroscopy and imaging. Biophys J 1994, 66(1):259-267.
2. Le Bihan D., Mangin J.F., Poupon C., Clark C.A., Pappata S., Molko N., et al. Diffusion tensor imaging: concepts and applications. J Magn Reson Imaging 2001, 13:534-546.
3. Le Bihan D. Looking into the functional architecture of the brain with diffusion MRI. Nat Rev Neurosci 2003, 4(6):469-480.
4. Basser P.J., Pajevic S. Statistical artifacts in diffusion tensor MRI (DT-MRI) caused by background noise. Magn Reson Med 2000, 44:41-50.
5. Anderson A.W. Theoretical analysis of the effects of noise on diffusion tensor imaging. Magn Reson Med 2001, 46:1174-1188.
6. Lazar M., Alexander A.L. White matter tractography algorithms error analysis. NeuroImage 2003, 20:1140-1153.
7. Parker G.J., Schnabel J.A., Symms M.R., Werring D.J., Barker G.J. Nonlinear smoothing for reduction of systematic and random errors in diffusion tensor imaging. J Magn Reson Imaging 2000, 11:702-710.
8. Chen B., Hsu E. Noise removal in magnetic resonance diffusion tensor imaging. Magn Reson Med 2005, 54:393-407.
9. Pajevic S., Aldroubi A., Basser P.J.A. continuous tensor field approximation of discrete DT-MRI data for extracting microstructural and architectural features of tissue. J Magn Reson 2002, 154:85-100.
10. Poupon C., Clark C.A., Frouin V., Regis J., Bloch I., LeBihan D., et al. Regularization of diffusion-based direction maps for the tracking of brain white matter fascicles. Neuroimage 2000, 12:184-195.
11. Tench C.R., Morgan P.S., Blumhardt L.D., Constantinescu C. Improved white matter fiber tracking using stochastic labeling. Magn Reson Med 2002, 48:677-683.
12. Coulon O., Alexander D.C., Arridge S.A. A regularization scheme for diffusion tensor magnetic resonance images. Proceedings of 17th IPMI 2001, 92-105.
13. Wang Z., Vemuri B.C., Chen Y., Mareci T.H. A constrained variational principle for direct estimation and smoothing of the diffusion tensor field from complex DWI. IEEE TMI 2004, 23(8):930-939.
14. Tschumperle D., Deriche R. Constrained and unconstrained PDEs for vector image restoration. Proceedings of 12th Scandinavian Conference on Image Analysis 2001, 153-160.
15. Arsigny V., Fillard P., Pennec X., Ayache N. Log-Euclidean metrics for fast and simple calculus on diffusion tensors. Magn Reson Med 2006, 56:411-421.
16. Pennec X., Fillard P., Ayache N.A. riemannian framework for tensor computing. Int J Comput Vision 2006, 66(1):41-66.
17. Zhang F., Hancock E.R. Riemannian graph diffusion for DT-MRI regularization. MICCAI 2006, 234-242.
18. Basu S., Fletcher P.T., Whitaker R. Rician noise removal in diffusion tensor MRI. MICCAI 2006, 117-125.
19. Ding Z., Anderson A.W., Gore J.C. Reduction of noise in diffusion tensor images using anisotropic smoothing. Magn Reson Med 2005, 49:485-490.
20. Strikwerda J.C. Finite difference schemes and partial differential equations 2004, SIAM, Philadelphia. 2nd ed.
21. Weickert J., Ter Haar Romeny B.M., Viergever M.A. Efficient and reliable schemes for nonlinear diffusion filtering. IEEE TIP 1998, 7:398-410.
22. Barash D., Kimmel R. An accurate operator splitting scheme for nonlinear diffusion Filtering. LNCS 2000, 2106:281-289.
23. Craig I.J.D., Sneyd A.D. An alternating direction implicit scheme for parabolic systems of partial differential equations. Comput Math Appl 1990, 20:53-62.
24. Gerig G., Kubler O., Kikinis R., Jolesz F.A. Nonlinear anisotropic filtering of MRI data. IEEE TMI 1992, 11(2):221-231.
25. Mrazek P., Navara M. Selection of optimal stopping time for nonlinear diffusion filtering. IJCV 2003, 52(2-3):189-203.
26. Hasan K.M., Basser P.J., Parker D.L., Alexander A.L. Analytical computation of the eigenvalues and eigenvectors in DT-MRI. J Magn Reson 2001, 152(1):41-47.