Abstract
Diffusion kurtosis imaging (DKI) is a new model in medical engineering, where a diffusion kurtosis (DK) tensor is involved. A DK tensor is a fourth-order three-dimensional fully symmetric tensor. In this paper, we introduce D-eigenvalues for a DK tensor. The largest, the smallest and the average D-eigenvalues of a DK tensor correspond with the largest, the smallest and the average apparent kurtosis coefficients (AKC) of a water molecule in the space, respectively. We present their computational methods and discuss related anisotropy value of AKC.
Original language | English |
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Pages (from-to) | 150-157 |
Number of pages | 8 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 221 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Nov 2008 |
Keywords
- Computation
- Diffusion kurtosis
- Eigenvalues
- Tensors
ASJC Scopus subject areas
- Applied Mathematics
- Computational Mathematics
- Numerical Analysis