Abstract
This paper presents a new procedure to estimate the di.usion tensor from a sequence of diffusion-weighted images. The first step of this procedure consists of the correction of the distortions usually induced by eddy-current related to the large diffusion-sensitizing gradients. This correction algorithm relies on the maximization of mutual information to estimate the three parameters of a geometric distortion model inferred from the acquisition principle. The second step of the procedure amounts to replacing the standard least squares based approach by the Geman-McLure M-estimator, in order to get rid of outlier related artefacts. Several experiments prove that the whole procedure highly improves the quality of the final diffusion maps.
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A. L. Alexander, J. S. Tsuruda, and D. L. Parker. Elimination of eddy current artefacts in diffusion-weighted echo-planar images: the use of bipolar gradient. Magn. Reson. Med., 38:1016–1021, 1997.
P.J. Basser, J. Mattiello, and D. LeBihan. Estimation of the effective self-diffusion tensor from the NMR spin echo. J. of Magn. Reson., Series B, 103:247–254, 1994.
P.J. Basser, J. Mattiello, and D. LeBihan. Mr diffusion tensor spectroscopy and imaging. Biophysical Journal, 66:259–267, 1994.
M. E. Bastin. Correction of eddy current-induced artefacts in diffusion tensor imaging using iterative cross-correlation. Magn. Reson. Imag., 17:1011–1024, 1999.
M.E. Bastin, P.A. Armitage, and I. Marshall. A theoretical study of the effect of experimental noise on the measurement of anisotropy in diffusion imaging. Magnetic Resonance Imaging, 16(7):773–785, 1998.
F. Calamante, D.A. Porter, D.G. Gadian, and A. Connelly. Correction for eddy current induced B0 shifts in diffusion-weighted echo-planar imaging. Magnetic Resonance in Medicine, 41:95–102, 1999.
C. A. Clark and D. LeBihan. Water diffusion compartmentation and anisotropy at high b values in the human brain. Magn. Reson. Med., 44:852–859, 2000.
J.C. Haselgrove and J.R. Moore. Correction for distorsion of echo-planar images used to calculate the apparent diffusion coefficient. Magn. Reson. Med., 36, 1996.
P. Hellier and C. Barillot. Multimodal non-rigid warping for correction of distortions in functional MRI. In MICCAI, LNCS-1935, pages 512–520, 2000.
W. WellsIII, P. Viola, H. Atsumi, S. Nakajima, and R. Kikinis. Multi-modal volume registration by maximization of mutual information. MIA, 1:35–51, 1996.
P. Jezzard, A. Barnett, and C Pierpaoli. Characterization and correction for eddy current artefacts in echo planar diffusion imaging. MRM, 39:801–812, 1998.
J. Kybic, P. Thévenaz, A. Nirkko, and M. Unser. Unwarping of EPI images. IEEE Trans. Medical Imaging, 19(2):80–93, 2000.
D. Le Bihan, J.-F. Mangin, C. Poupon et al. Diffusion tensor imaging: concepts and applications. Journal of Magnetic Resonance Imaging, 13:534–546, 2001.
F. Maes, A. Collignon, D. Vandermeulen, G. Marchal, and P. Suetens. Multimodality image registration by maximisation of mutual information. IEEE Trans. Medical Imaging, 16(2):187–198, 1997.
J. Mattiello, P. J. basser, and D. LeBihan. The b matrix in diffusion tensor echoplanar imaging. Magn. Reson. Med., 37:292–300, 1997.
P. Meer, D. Mintz, and A. Rosenfeld. Robust regression methods for computer vision: a review. International Journal of Computer Vision, 6(1):59–70, 1991.
C. Pierpaoli and P. J. Basser. Toward a quantitative assessment of diffusion anisotropy. Magn. Reson. Med., 36:893–906, 1996.
C. Poupon, J.-F. Mangin, C. A. Clark, V. Frouin, D. LeBihan, and I. Bloch. Towards inference of the human brain connectivity from MR diffusion tensor data. Medical Image Analysis, 5:1–15, 2001.
M. Powell. An efficient method for finding the minimum of a function of several variables without calculating derivatives. The Computer Journal, 7:155–162, 1964.
A. Roche, G. Malandain, X. Pennec, and N. Ayache. The correlation ratio as a new similarity measure for multimodal image registration. In MICCAI’98, MIT, USA, LNCS-1496, Springer Verlag, pages 1115–1124, 1998.
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(1):288–292, 1965.
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Mangin, J.F., Poupon, C., Clark, C., Le Bihan, D., Bloch, I. (2001). Eddy-Current Distortion Correction and Robust Tensor Estimation for MR Diffusion Imaging. In: Niessen, W.J., Viergever, M.A. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2001. MICCAI 2001. Lecture Notes in Computer Science, vol 2208. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45468-3_23
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DOI: https://doi.org/10.1007/3-540-45468-3_23
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