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In Proceedings of SSVM

Fiber Enhancement in Diffusion-Weighted MRI

R. Duits, T.C.J. Dela Haije, A. Ghosh, E.J. Creusen, Anna Vilanova, and B.M. ter Haar Romeny

This figure shows glyph visualizations of HARDI and DTI-images of a 2D-slice in the brain where neural fibers in the corona radiata cross with neural fibers in the corpus callosum. Here DTI and HARDI are visualized differently; HARDI is visualized according to Def. 1, whereas DTI is visualized using Eq. (1).

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Diffusion-Weighted MRI (DW-MRI) measures local water diffusion in biological tissue, which reflects the underlying fiber structure. In order to enhance the fiber structure in the DW-MRI data we consider both (convection-)diffusions and Hamilton-Jacobi equations (erosions) on the space TeX of 3D-positions and orientations, embedded as a quotient in the group SE(3) of 3D-rigid body movements. These left-invariant evolutions are expressed in the frame of left-invariant vector fields on SE(3), which serves as a moving frame of reference attached to fiber fragments. The linear (convection-)diffusions are solved by a convolution with the corresponding Green's function, whereas the Hamilton-Jacobi equations are solved by a morphological convolution with the corresponding Green's function. Furthermore, we combine dilation and diffusion in pseudo-linear scale spaces on TeX. All methods are tested on DTI-images of the brain. These experiments indicate that our techniques are useful to deal with both the problem of limited angular resolution of DTI and the problem of spurious, non-aligned crossings in HARDI.

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Citation

R. Duits, T.C.J. Dela Haije, A. Ghosh, E.J. Creusen, Anna Vilanova, and B.M. ter Haar Romeny, Fiber Enhancement in Diffusion-Weighted MRI, In Proceedings of SSVM, pp. 1–13, 2011.

BibTex 

@inproceedings{bib:duits:2011,
    author       = { Duits, R. and Dela Haije, T.C.J. and Ghosh, A. and Creusen, E.J. and Vilanova, Anna and ter Haar Romeny, B.M. },    
    title        = { Fiber Enhancement in Diffusion-Weighted MRI },
    booktitle    = { In Proceedings of SSVM },
    year         = { 2011 },
    pages        = { 1--13 },
    doi          = { 10.1007/978-3-642-24785-9_1 },
    dblp         = { conf/scalespace/DuitsHGCVR11 },
    url          = { https://publications.graphics.tudelft.nl/papers/289 },
}