Published in

Elsevier, Journal of Computational and Applied Mathematics, 1(221), p. 150-157, 2008

DOI: 10.1016/j.cam.2007.10.012

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D-eigenvalues of diffusion kurtosis tensors

Journal article published in 2008 by Liqun Qi, Yiju Wang, Ex Wu ORCID
This paper is available in a repository.
This paper is available in a repository.

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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. ; Department of Applied Mathematics