In Proceedings of MICCAI 2009 Workshop on Diffusion Modelling and the Fibre Cup (DMFC 2009, London, UK, September 24th, 2009)

Multi-valued geodesic based fiber tracking for diffusion tensor imaging

N. Sepasian, J.H.M. ten Thije Boonkkamp, Anna Vilanova, and B.M. ter Haar Romeny

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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.

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@inproceedings{bib:sepasian:2009,
    author       = { Sepasian, N. and Thije Boonkkamp, J.H.M. ten and Vilanova, Anna and ter Haar Romeny, B.M. },    
    title        = { Multi-valued geodesic based fiber tracking for diffusion tensor imaging },
    booktitle    = { In Proceedings of MICCAI 2009 Workshop on Diffusion Modelling and the Fibre Cup (DMFC 2009, London, UK, September 24th, 2009) },
    year         = { 2009 },
    pages        = { 7--14 },
    url          = { https://publications.graphics.tudelft.nl/papers/429 },
}