Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/25017
Title: D-eigenvalues of diffusion kurtosis tensors
Authors: Qi, L 
Wang, Y
Wu, EX
Keywords: Computation
Diffusion kurtosis
Eigenvalues
Tensors
Issue Date: 2008
Publisher: North-Holland
Source: Journal of computational and applied mathematics, 2008, v. 221, no. 1, p. 150-157 How to cite?
Journal: Journal of computational and applied mathematics 
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.
URI: http://hdl.handle.net/10397/25017
ISSN: 0377-0427
EISSN: 1879-1778
DOI: 10.1016/j.cam.2007.10.012
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