D-eigenvalues of diffusion kurtosis tensors

Liqun Qi, Yiju Wang, Ed X. Wu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

104 Citations (Scopus)

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 languageEnglish
Pages (from-to)150-157
Number of pages8
JournalJournal of Computational and Applied Mathematics
Volume221
Issue number1
DOIs
Publication statusPublished - 1 Nov 2008

Keywords

  • Computation
  • Diffusion kurtosis
  • Eigenvalues
  • Tensors

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

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