Multi-valued geodesic based fiber tracking for diffusion tensor imaging

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In this paper, we propose a new geodesic based algorithm for diffusion tensor fiber tracking. This technique is based on computing multi-valued solutions from the Euler-Lagrange form of the geodesic equations. Compared to other geodesic based approaches, multi-valued solutions at each grid point have been considered other than just computing the viscosity solution. This allows us to compute fibers in a region with sharp orientation, or when the correct physical solution is not the fiber computed from the first arrival time. Compared to the classical stream-line approach, our approach is less sensitive to noise, since the complete tensor is used. We also compare our algorithm with the PDE approach, using the Hamilton-Jacobi equation.We show that in the cases where the U-shaped bundles appear, our algorithm can capture the underlying fiber structure while other approaches may fail. The results for a realistic synthetic data field is shown for both methods.
Original languageEnglish
Title of host publicationMICCAI 2009 Workshop on Diffusion Modelling and the Fibre Cup (DMFC 2009, London, UK, September 24th, 2009)
Publication statusPublished - 2009


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