Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/15337
Title: Principal invariants and inherent parameters of diffusion kurtosis tensors
Authors: Qi, L 
Han, D
Wu, EX
Keywords: Average apparent kurtosis coefficient values
Diffusion kurtosis tensors
Eigenvalues
Inherent parameters
Invariants
Issue Date: 2009
Publisher: Academic Press
Source: Journal of mathematical analysis and applications, 2009, v. 349, no. 1, p. 165-180 How to cite?
Journal: Journal of mathematical analysis and applications 
Abstract: A diffusion kurtosis (DK) tensor is a fourth order three-dimensional fully symmetric tensor, which is used in diffusion kurtosis imaging (DKI), a new model in medical engineering. To understand the biological and clinical meaning of the DK tensor, we have to measure and calculate some quantities and parameters which are independent from coordinate system choices. In this paper we study such quantities and parameters. They include the largest, the smallest and the average apparent kurtosis coefficients (AKC) values, which are invariant from the coordinate system choices, and some parameters measured in the inherent coordinate system, which is formed by the eigenvector system of the second order diffusion tensor. We study their computational formulas and relationships.
URI: http://hdl.handle.net/10397/15337
ISSN: 0022-247X
EISSN: 1096-0813
DOI: 10.1016/j.jmaa.2008.08.049
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