DT-MRI images: Estimation, regularization, and application

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2809, Issue , 2004, Pages 530-541

  Tschumperle D ^a   Deriche, R ^a  

^a INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; HISTOLOGY; MAGNETIC RESONANCE IMAGING; MOLECULES; SYSTEM THEORY; TISSUE;

DIFFUSION TENSOR; DIFFUSION TENSOR MRI; FIBER TRACKING; MRI IMAGE; POSITIVE-DEFINITE MATRICES; SPECTRAL ELEMENT; WATER MOLECULE; WHITE MATTER;

TENSORS;

EID: 0242276277     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: None     Document Type: Article

References (30)

1. L. Alvarez, P.L. Lions, and J.M. Morel. Image selective smoothing and edge detection by nonlinear diffusion (II). SIAM Journal of Numerical Analysis, 29:845-866, 1992.
2. Bart M. ter Haar Romeny. Geometry-driven diffusion in computer vision. Computational imaging and vision. Kluwer Academic Publishers, 1994.
3. P.J. Basser, J. Mattiello, and D. LeBihan. Estimation of the effective self-diffusion tensor from the nmr spin echo. Journal of Magnetic Resonance, B(103):247-254, 1994.
4. P.J. Basser, S. PAJEVIC, C. Pierpaoli, and A. Aldroubi. Fiber-tract following in the human brain using dt-mri data. IEICE TRANS. INF & SYST., E(85):15-21, January 2002.
5. T. Brox and J. Weickert. Nonlinear matrix diffusion for optic flow estimation. In DAGM-Symposium, pages 446-453, 2002.
6. J.S.W. Campbell, K. Siddiqi, B.C. Vemuri, and G.B Pike. A geometric flow for white matter fibre tract reconstruction. In IEEE International Symposium on Biomedical Imaging Conference Proceedings, pages 505-508, July 2002.
7. T. Chan and J. Shen. Variational restoration of non-flat image features: Models and algorithms. Research Report. Computational and applied mathematics department of mathematics Los Angeles., June 1999.
8. P. Charbonnier, G. Aubert, M. Blanc-Féraud, and M. Barlaud. Two deterministic half-quadratic regularization algorithms for computed imaging. In Proceedings of the International Conference on Image Processing, volume II, pages 168-172, 1994.
9. C. Chefd'hotel, D. Tschumperlé, R. Deriche, and O. Faugeras. Constrained flows on matrix-valued functions: application to diffusion tensor regularization. In Proceedings of ECCV'02, June 2002.
10. M.T. Chu. A list of matrix flows with applications. Technical report, Department of Mathematics, North Carolina State University, 1990.
11. O. Coulon, D.C. Alexander, and S.R. Arridge. A geometrical approach to 3d diffusion tensor magnetic resonance image regularisation. Technical report, Department of Computer Science, University College London., 2001.
12. Gene H. Golub and Charles F. Van Loan. Matrix computations. The John Hopkins University Press, Baltimore, Maryland, 1983.
13. R. Kimmel, R. Malladi, and N. Sochen. Images as embedded maps and minimal surfaces: movies, color, texture, and volumetric medical images. International Journal of Computer Vision, 39(2):111-129, September 2000.
14. D. Le Bihan. Methods and applications of diffusion mri. In I.R. Young, editor, Magnetic Resonance Imaging and Spectroscopy in Medicine and Biology. John Wiley and Sons, 2000.
15. H. Mamata, Y. Mamata, C.F. Westin, M.E. Shenton, F.A. Jolesz, and S.E. Maier. High-resolution line-scan diffusion-tensor mri of white matter fiber tract anatomy. In In AJNR Am NeuroRadiology, volume 23, pages 67-75, 2002.
16. S. Mori, B.J. Crain, V.P. Chacko, and P.C.M. Van Zijl. Three-dimensional tracking of axonal projections in the brain by magnetic resonance imaging. Annals of Neurology, 45(2):265-269, February 1999.
17. G.J.M Parker, C.A.M Wheeler-Kingshott, and G.J. Barker. Distributed anatomical brain connectivity derived from diffusion tensor imaging. In IPMI, number LNCS2082, pages 106-120, 2001.
18. C. Poupon. Détection des faisceaux de fibres de la substance blanche pour l'étude de la connectivité anatomique cérébrale. PhD thesis, Ecole Nationale Supérieure des Télécommunications, December 1999.
19. C. Poupon, J.F Mangin, V. Frouin, J. Regis, F. Poupon, M. Pachot-Clouard, D. Le Bihan, and I. Bloch. Regularization of mr diffusion tensor maps for tracking brain white matter bundles. In W.M. Wells, A. Colchester, and S. Delp, editors, Medical Image Computing and Computer-Assisted Intervention-MICCAI'98, number 1496 in Lecture Notes in Computer Science, pages 489-498, Cambridge, MA, USA, October 1998. Springer.
20. G. Sapiro. Geometric Partial Differential Equations and Image Analysis. Cambridge University Press, 2001.
21. E.O. Stejskal and J.E. Tanner. Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient. Journal of Chemical Physics, 42:288-292, 1965.
22. B. Tang, G. Sapiro, and V. Caselles. Diffusion of general data on non-flat manifolds via harmonic maps theory: The direction diffusion case. The International Journal of Computer Vision, 36(2):149-161, February 2000.
23. D. Tschumperlé. PDE's Based Regularization of Multivalued Images and Applications. PhD thesis, Université de Nice-Sophia Antipolis, December 2002.
24. D. Tschumperlé and R. Deriche. Diffusion tensor regularization with constraints preservation. In IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Kauai Marriott, Hawaii, December 2001.
25. D. Tschumperlé and R. Deriche. Diffusion PDE's on Vector-Valued images. IEEE Signal Processing Magazine, 19(5):16-25, 2002.
26. D. Tschumperlé and R. Deriche. Vector-valued image regularization with PDE's: A common framework for different applications. In IEEE Conference on Computer Vision and Pattern Recognition, Madison, Wisconsin (United States), June 2003.
27. B. Vemuri, Y. Chen, M. Rao, T. McGraw, T. Mareci, and Z. Wang. Fiber tract mapping from diffusion tensor mri. In 1st IEEE Workshop on Variational and Level Set Methods in Computer Vision (VLSM'01), July 2001.
28. J. Weickert. Anisotropic Diffusion in Image Processing. Teubner-Verlag, Stuttgart, 1998.
29. C.F. Westin and S.E. Maier. A dual tensor basis solution to the stejskal-tanner equations for dt-mri. In Proceedings of International Society for Magnetic Resonance in Medicine, 2002.
30. C.F Westin, S.E Maier, H. Mamata, A. Nabavi, F.A. Jolesz, and R. Kikinis. Processing and visualization for diffusion tensor mri. In In proceedings of Medical Image Analysis, volume 6, pages 93-108, 2002.