Diffusion tensor image smoothing using efficient and effective anisotropic filtering

Proceedings of the IEEE International Conference on Computer Vision

Volumn , Issue , 2007, Pages

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

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTER VISION; DIFFUSION; IMAGE DENOISING; IMAGE ENHANCEMENT; ITERATIVE METHODS; MAGNETIC RESONANCE IMAGING; TENSORS;

ALGORITHM FOR DENOISING; ANISOTROPIC DIFFUSION FILTERING; ANISOTROPIC FILTERING; DIFFUSION TENSOR; NUMERICAL SCHEME; SEMI-IMPLICIT SCHEME; SMOOTHING ALGORITHMS; UNCONDITIONALLY STABLE;

DIFFUSION TENSOR IMAGING;

EID: 50649100412     PISSN: 15505499     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCV.2007.4409165     Document Type: Conference Paper

References (19)

1. Basser, P.J., Mattiello, J., Le Bihan, D.. MR diffusion tensor spectroscopy and imaging. Biophys J., 66(1): 259-267, 1994.
2. Lazar M., Alexander A.L.. White matter tractography algorithms error analysis. Neuroimage, 20:1140-1153, 2003.
3. Basser, P.J., Pajevic, S.. Statistical artifacts in diffusion tensor MRI (DT-MRI) caused by background noise. Magn. Reson. Med., 44:41-50, 2000.
4. Parker, G.J.M., 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. Imag., 11: 702-710, 2000.
5. Chen B., Hsu E.. Noise removal in magnetic resonance diffusion tensor imaging. Magn. Reson. Med., 54: 393-407, 2005.
6. 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. of Magn. Reson., 154: 85-100, 2002.
7. Poupon, C., Clark, C.A., Frouin, V., Regis, J., Bloch, I., LeBihan, D., Mangin, JF.. Regularization of diffusion-based direction maps for the tracking of brain white matter fascicles. NeuroImage, 12:184-195, 2000.
8. Tench, C.R., Morgan, P.S., Blumhardt, L.D., Constantinescu, C.. Improved white matter fiber tracking using stochastic labeling. Magn. Reson. Med., 48: 677-683, 2002.
9. Coulon, O., Alexander, D.C., Arridge, S.A.. A regularization scheme for diffusion tensor magnetic resonance images. IPMI: 92-105, 2001.
10. 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 23(8): 930-943, 2004.
11. Tschumperle, D., Deriche, R.. Constrained and unconstrained PDEs for vector image restoration. 12th Scandinavian Conference on Image Analysis 153-160, 2001.
12. Pennec, X., Fillard, P., Ayache, N.. A riemannian framework for tensor computing. IJCV, 66(1): 41-66, 2006.
13. Ding, Zhaohua, Gore, John C, Anderson, Adam W. Reduction of noise in diffusion tensor images using anisotropic smoothing. Magn Reson Med, 53(2): 485-90, 2005.
14. Strikwerda, J.C.. Finite difference schemes and partial differential equations. 2nd Edition, SIAM Philadelphia, 2004.
15. Weickert, J., Ter Haar Romeny, B.M., Viergever, M.A.. Efficient and reliable schemes for nonlinear diffusion filtering. IEEE TIP, 7:398-410, 1998.
16. Barash, D., Kimmel, R.. An accurate operator splitting scheme for nonlinear diffusion Filtering. LNCS, 2106: 281-289, 2000.
17. Craig, I.J.D., Sneyd, A.D.. An alternating direction implicit scheme for parabolic systems of partial differential equations. Comput. Math. Appl., 20: 53-62, 1990.
18. Gerig, G., Kubler, O., Kikinis, R., Jolesz, F.A.. Nonlinear anisotropic filtering of MRI data. IEEE TMI, 11(2): 221-231, 1992.
19. Mrazek, P., Navara, M.. Selection of optimal stopping time for nonlinear diffusion filtering. IJCV, 52(2-3): 189-203, 2003.