An innovative geodesic based multi-valued fiber-tracking algorithm for diffusion tensor imaging

N. Sepasian, Anna Vilanova, J.H.M. ten Thije Boonkkamp, B.M. ter Haar Romeny
Technical Report 10-27, Technische Universiteit Eindhoven, Number 10-27 - 2010
Download the publication : 676074.pdf [1.6Mo]  
We propose a new geodesic based algorithm for fiber tracking in diffusion tensor imaging data. Our algorithm computes the 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 are computed rather 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 method is less sensitive to noise, since the complete tensor is used. We also compare our algorithm with the Hamilton-Jacobi equation (HJ) based approach. We show that in the cases where U-shaped bundles appear, our algorithm can capture the underlying fiber structure while other approaches may fail. The results for synthetic and real data are shown for both methods.

Images and movies


BibTex references

@TechReport { SVTH10,
  author       = "Sepasian, N. and Vilanova, Anna and Thije Boonkkamp, J.H.M. ten and Haar Romeny, B.M. ter",
  title        = "An innovative geodesic based multi-valued fiber-tracking algorithm for diffusion tensor imaging",
  institution  = "Technische Universiteit Eindhoven",
  number       = "10-27",
  year         = "2010",
  address      = "Eindhoven",
  url          = ""

Other publications in the database

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