Abstract
Most of the approaches dedicated to fiber tracking from diffusion-weighted MR data rely on a tensor model. However, the tensor model can only resolve a single fiber orientation within each imaging voxel. New emerging approaches have been proposed to obtain a better representation of the diffusion process occurring in fiber crossing. In this paper, we adapt a tracking algorithm to the q-ball representation, which results from a spherical Radon transform of high angular resolution data. This algorithm is based on a Monte-Carlo strategy, using regularized particle trajectories to sample the white matter geometry. The method is validated using a phantom of bundle crossing made up of haemodialysis fibers. The method is also applied to the detection of the auditory tract in three human subjects.
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References
Basser, P.J., Mattiello, J., LeBihan, D.: MR Diffusion Tensor Spectroscopy and Imaging. Biophysical Journal 66, 259–267 (1994)
Basser, P.J., Pajevic, S., Pierpaoli, C., Duda, J., Aldroubi, A.: In vivo fiber tractography using DT-MRI data. MRM 44(4), 625–632 (2000)
Behrens, T.E.J., Johansen-Berg, H., Woolrich, M.W., Smith, S.M., Wheeler-Kingshott, C.A.M., Boulby, P.A., Barker, G.J., Sillery, E.L., Sheehan, K., Ciccarelli, O., Thompson, A.J., Brady, J.M., Matthews, P.M.: Non-invasive mapping of connections between human thalamus and cortex using diffusion imaging. nature neuroscience 6(7), 750–757 (2003)
Behrens, T.E.J., Woolrich, M.W., Jenkinson, M., Johansen-Berg, H., Nunes, R.G., Clare, S., Matthews, P.M., Brady, J.M., Smith, S.M.: Characterization and propagation of uncertainty in diffusion-weighted mr imaging. Magnetic Resonance in Medicine 50, 1077–1088 (2003)
Björnemo, M., Brun, A., Kikinis, R., Westin, C.-F.: Regularized stochastic white matter tractography using diffusion tensor MRI. In: Dohi, T., Kikinis, R. (eds.) MICCAI 2002. LNCS, vol. 2488, pp. 435–442. Springer, Heidelberg (2002)
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. 96, 10422–10427 (1999)
Frank, L.R.: Anisotropy in high angular resolution diffusion-weighted mri. Magnetic Resonance in Medicine 45, 935–939 (2001)
Jansons, K.M., Alexander, D.C.: Persistent angular structure: new insights from diffusion magnetic resonance imaging data. Inverse Problems 19(5), 1031–1046 (2003)
Lazar, M., Tsuruda, J.S., Weinstein, D., Arfanakis, K., Hasan, K.M., Meyerand, M.E., Badie, B., Rowley, H.A., Haugton, V., Field, A., Alexander, A.: White matter tractography using diffusion tensor deflection. In: Hum Brain Mapp, vol. 18, pp. 306–321 (2003)
Lenglet, C., Deriche, R., Faugeras, O.: Inferring white matter geometry from diffusion tensor mri: Application to connectivity mapping. In: 8th European Conference on Computer Vision (2004)
Leonard, C.M., Puranik, C., Kuldau, J., Lombardino, L.J.: Normal variation in the frequency and location of human auditory cortex landmarks. heschl’s gyrus: where is it? Cereb Cortex 8(5), 397–406 (1998)
Lin, C.P., Wedeen, V.J., Chen, J.H., Yao, C., Tseng, W.Y.I.: Validation of diffusion spectrum magnetic resonance imaging with manganese-enhanced rat optic tracts and ex vivo phantoms. NeuroImage (2003)
Mangin, J.-F., Poupon, C., Cointepas, Y., Rivi‘ere, D., Papadopoulos-Orfanos, D., Clark, C.A., Régis, J., Le Bihan, D.: A framework based on spin glass models for the inference of anatomical connectivity from diffusion-weighted MR data. NMR in Biomedicine 15, 481–492 (2002)
Mori, S., Crain, B.J., Chacko, V.P., van Zijl, P.C.M.: Three dimensional tracking of axonalprojections in the brain by magnetic resonance imaging. Ann. Neurol. 45, 265–269 (1999)
Mori, S., van Zijl, P.C.: Fiber tracking: principles and strategies - a technical review. NMR Biomed 15(7-8), 468–480 (2002)
Parker, G.J.M., Alexander, D.C.: Probabilistic Monte Carlo based mapping of cerebral connections utilising whole-brain crossing fibre information. In: IPMI, Ambleside, vol. 18, pp. 684–695 (2003)
Poupon, C., Clark, C.A., Frouin, V., R´egis, 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(2), 184–195 (2000)
Rademacher, J., Morosan, P., Schormann, T., Schleicher, A., Werner, C., Freund, H.-.J., Zilles, K.: Probabilistic mapping and volume measurement of human primary auditory cortex. NeuroImage 13, 669–683 (2001)
Stejskal, E.O., Tanner, T.E.: Spin diffusion measurements: spin echoes in the presence of a time dependent field gradient. The journal of Chemical Physics 42, 288–292 (1965)
Tuch, D.S.: Diffusion MRI of complex tissue structure. PhD thesis, MIT (2002)
Tuch, D.S.: Q-ball imaging. Magn Reson Med 52(6), 1358–1372 (2004)
Tuch, D.S., Reese, T.G., Wiegell, M.R., Makris, N., Belliveau, J.W., Wedeen, V.J.: High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. Magn Reson Med 48(4), 577–582 (2002)
Tuch, D.S., Reese, T.G., Wiegell, M.R., Wedeen, V.J.: Diffusion MRI of complex neural architecture. Neuron 40(5), 885–895 (2003)
Tuch, D.S., Wiegell, M.R., Reese, T.G., Belliveau, J.W., Van Wedeen, J.: Measuring corticocortical connectivity matrices with diffusion spectrum imaging. In: ISMRM, p. 502 (2001)
Van Wedeen, J., Reese, T.G., Tuch, D.S., Weigel, M.R., Dou, J.-G., Weiskoff, R.M., Chessler, D.: Mapping fiber orientation spectra in cerebral white matter with fouriertransform diffusion. In: ISMRM, p. 82 (2000)
Weinstein, D.M., Kindlmann, G.L., Lundberg, E.C.: Tensorlines: Advectiondiffusion based propagation through diffusion tensor fields. In: Ebert, D., Gross, M., Hamann, B. (eds.) IEEE Visualization 1999, San Francisco, pp. 249–254 (1999)
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Perrin, M. et al. (2005). Fiber Tracking in q-Ball Fields Using Regularized Particle Trajectories. In: Christensen, G.E., Sonka, M. (eds) Information Processing in Medical Imaging. IPMI 2005. Lecture Notes in Computer Science, vol 3565. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11505730_5
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DOI: https://doi.org/10.1007/11505730_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26545-0
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