Abstract
We propose a novel post processing method for visualization of fiber traces from DT-MRI data. Using a recently proposed non-linear dimensionality reduction technique, Laplacian eigenmaps [3], we create a mapping from a set of fiber traces to a low dimensional Euclidean space. Laplacian eigenmaps constructs this mapping so that similar traces are mapped to similar points, given a custom made pairwise similarity measure for fiber traces. We demonstrate that when the low-dimensional space is the RGB color space, this can be used to visualize fiber traces in a way which enhances the perception of fiber bundles and connectivity in the human brain.
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Basser, P.J.: Inferring microstructural features and the physiological state of tissues from diffusion-weighted images. NMR in Biomedicine 8, 333–344 (1995)
Basser, P.J., Pajevic, S., Pierpaoli, C., Duda, J., Aldroubi, A.: In vivo fiber tractography using DT-MRI data. Magn. Reson. Med. 44, 625–632 (2000)
Belkin, M., Niyogi, P.: Laplacian eigenmaps and spectral techniques for embedding and clustering. In: Diettrich, T.G., Becker, S., Ghahramani, Z. (eds.) MA 2002. MIT Press, Cambridge (2002)
Brand, M., Huang, K.: A unifying theorem for spectral embedding and clustering (2003)
Catani, M., Howard, R.J., Pajevic, S., Jones, D.K.: Virtual in vivo interactive dissection of white matter fasciculi in the human brain. Neuroimage 17, 77–94 (2002)
Ding, Z., Gore, J.C., Anderson, A.W.: Classification and quantification of neuronal fiber pathways using diffusion tensor MRI. Mag. Reson. Med. 49, 716–721 (2003)
Fowlkes, C., Belongie, S., Malik, J.: Efficient Spatiotemporal Grouping Using the Nyström Method CVPR, Hawaii (December 2001)
Gaffney, S.J., Smyth, P.: Curve clustering with random effects regression mixtures. In: Bishop, C.M., Frey, B.J. (eds.) Proc. Ninth Int. Workshop on AI and Stat., Florida (2003)
Gering, D., Nabavi, A., Kikinis, R., Eric, W., Grimson, L., Hata, N., Everett, P., Jolesz, F., Wells III, W.: An Integrated Visualization System for Surgical Planning and Guidance using Image Fusion and Interventional Imaging. In: Proceedings of Second International Conference on Medical Image Computing and Computer-assisted Interventions. LNCS, pp. 809–819 (1999)
Kindlmann, G., Weinstein, D., Hart, D.: Strategies for DirectVolume Rendering of Diffusion Tensor Fields. In: IEEE transactions onVisualization and Computer Graphics 6(2) (2000)
Lebihan, D., Breton, E., Lallemand, D., Grenier, P., Cabanis, E., LavalJeantet, M.: MR imaging of intravoxel incoherent motions: application to diffusion and perfusion in neurologic disorders. Radiology 161, 401–407 (1986)
McGraw, T., Vemuri, B.C., Wang, Z., Chen, Y., Mareci, T.: Line integral convolution for visualization of fiber tract maps from DTI. In: Proceedings of Fifth International Conference on Medical Image Computing and Computer-assisted Interventions. LNCS, pp. 615–622 (2003)
Meila, M., Shi, J.: A random walks view of spectral segmentation. In: AI and Statistics, AISTATS 2001 (2001)
Schölkopf, B., Smola, A., Müller, K.: Nonlinear component analysis as a kernel eigenvalue problem. Nerual Computation 10(5), 1299–1319 (1998)
Shimony, J.S., Snyder, A.Z., Lori, N., Conturo, T.E.: Automated fuzzy clustering of neuronal pathways in diffusion tensor tracking. In: Proc. Intl. Soc.Mag. Reson. Med., Honolulu, Hawaii (May 2002)
Weisstein, E.: Eric Weisstein’s world of mathematics. May 15 (2003), http://mathworld.wolfram.com/
Westin, C.-F., Peled, S., Gudbjartsson, H., Kikinis, R., Jolesz, F.A.: Geometrical Diffusion Measures for MRI from Tensor Basis Analysis. In: Proc. of the International Society for Magnetic Resonance Medicine (ISMRM), Vancouver, Canada (April 1997)
Westin, C.-F., Maier, S.E., Khidir, B., Everett, P., Jolesz, F.A., Kikinis, R.: Image Processing for Diffusion Tensor Magnetic Resonance Imaging. In: Proceedings of Second International Conference on Medical Image Computing and Computer-assisted Interventions. LNCS, pp. 641–652 (1999)
Zhang, S., Curry, T., Morris, D.S., Laidlaw, D.H.: Streamtubes and streamsurfaces for visualizing diffusion tensor MRI volume images. In: Visualization 2000 Work in Progress (October 2000)
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Brun, A., Park, HJ., Knutsson, H., Westin, CF. (2003). Coloring of DT-MRI Fiber Traces Using Laplacian Eigenmaps. In: Moreno-Díaz, R., Pichler, F. (eds) Computer Aided Systems Theory - EUROCAST 2003. EUROCAST 2003. Lecture Notes in Computer Science, vol 2809. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45210-2_47
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DOI: https://doi.org/10.1007/978-3-540-45210-2_47
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20221-9
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