A regularization scheme for diffusion tensor magnetic resonance images

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

Volumn 2082, Issue , 2001, Pages 92-105

  Coulon, Olivier ^a   Alexander, Daniel C ^a   Arridge, Simon R ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; DIGITAL STORAGE; EIGENVALUES AND EIGENFUNCTIONS; MAGNETIC RESONANCE; MAGNETIC RESONANCE IMAGING; TENSORS;

DIFFUSION DIRECTION; DIFFUSION TENSOR MAGNETIC RESONANCE IMAGES; DIRECTION MAPS; NON-LINEAR ANISOTROPIC DIFFUSION; REGULARIZATION SCHEMES; STRUCTURAL INFORMATION; SYNTHETIC AND REAL DATA; VARIATIONAL METHODS;

MEDICAL IMAGING;

EID: 84937398889     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45729-1_8     Document Type: Conference Paper

References (25)

1. Alexander, D.C., Pierpaoli, C., Basser, P.J., Gee, J.C.: Spatial transformations of diffusion tensor images. To appear in IEEE Trans. on Medical Imaging (2001)
2. Almansa, A., Lindeberg, T.: Enhancement of fingerprint images using shapeadapted scale-space operators. In Sporring, J., Nielsen, M., Florack, L., Johansen, P., editors, Gaussian Scale-Space Theory, Kluwer-Academic (1997) 3–19
3. Basser, P.J., Matiello, J., LeBihan, D.: MR Diffusion tensor spectroscopy and imaging. Biophysical Journal 66 (1994) 259–267
4. Basser, P.J., Pierpaoli, C.: Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI. Journal of Magnetic Resonance, Series B 111 (1996) 209–219
5. Basser, P.J., Pajevic, S.: Statistical artefacts in diffusion tensor MRI (DT-MRI) caused by background noise. Magnetic Resonance in Medicine 44 (2000) 41–50
6. Basser, P.J., Pajevic, S., Pierpaoli, C., Duda, J., Aldroubi, A.: In vivo fiber tractography using DT-MRI data. Magnetic Resonance in Medicine 44 (2000) 625-632
7. Chan, T., Shen, J.: Variational restoration of non-flat image features: model and algorithm. Technical Report CAM-TR 99-20, UCLA (1999)
8. Conturo, T.E., Lori, N.F., Cull, T.S., Akbudak, E., Snyder, A.Z., Shimony, J.S., McKinstry, R.C., Burton, H., Raichle, M.E.: Tracking neuronal fiber pathways in the living human brain. Proc. Natl. Acad. Sci. USA 96 (1999) 10422–10427
9. Cottet, G.H., Germain, L.: Image processing through reaction combined with nonlinear diffusion. Mathematics of Computation 61:204 (1993) 659–673
10. Deriche, R., Faugeras, O.: Les EDP en traitement des images et vision par ordinateur. Technical Report 2697, INRIA (1995)
11. Krissian, K., Malandain, G., Ayache, N.: Directional anisotropic diffusion applied to segmentation of vessels in 3D images. In Scale-Space’97, LNCS 1252, Springer- Verlag (1997) 345–348
12. Lindeberg, T., Garding, J.: Shape-adpated smoothing in estimation of 3D depth cues from affine distortions of local 2D brightness structure. Image and Vision Computing 15 (1997) 415–434
13. 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. Journal of Magnetic Resonance Imaging 11 (2000) 702–710
14. Parker, G.J.M., Wheeler-Kingshott, C.A., Barker, G.J.: Distributed anatomical brain connectivity derived from diffusion tensor imaging. In IPMI’2001, Springer- Verlag (2001).
15. Pierpaoli, C., Basser, P.J.: Toward a quantitative assessment of diffusion anisotropy. Magnetic Resonance in Medicine 36 (1996) 893–906
16. Perona, P.: Orientation diffusion. IEEE Trans. on Image Processing 7(3) (1998) 457–467
17. Poupon, C., Clark, C.A., Frouin, V., Régis, J., Bloch, I., Le Bihan, D., Mangin, J.-F.: Regularization of diffusion-based direction maps for the tracking of brain white matter fascicles. Neuroimage 12 (2000) 184–195
18. Schroeder, W., Martin, K., Lorensen, B.: The Visualization Toolkit. An object oriented approach to 3D graphics, 2nd edition. Prentice Hall (1998)
19. Tang, B., Sapiro, G., Caselles, V.: Color image enhancement via chromaticity diffusion. Technical Report, ECE-University of Minensota (1999)
20. Tang, B., Sapiro, G., Caselles, V.: Diffusion of general data on non-flat manifolds via harmonic maps theory: the direction diffusion case. International Journal of Computer Vision 36(2) (2000) 149–161
21. Weickert, J.: A review of non-linear diffusion filtering. In ScaleSpace’97, LNCS 1252, Springer-Verlag (1997) 3–28
22. Weickert, J.: Anisotropic diffusion in image processing. B.G. Teubner, Stuttgart (1998)
23. Weickert, J.: Coherence-enhancing diffusion filtering. International Journal of Computer Vision 31(2/3) (1999) 111–127
24. Weickert, J.: Coherence-enhancing diffusion of colour images. Image and Vision Computing 17 (1999) 201–212
25. Weickert, J., Scharr, H.: A scheme for coherence-enhancing diffusion filtering with optimised rotation invariance. To appear in J. of Visual Communication and Image Representation (2000)