Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/18458
Title: Extreme diffusion values for non-Gaussian diffusions
Authors: Han, D
Qi, L 
Wu, EX
Keywords: Anisotropy
Diffusion kurtosis tensors
Extreme diffusion directions
Extreme diffusion values
Issue Date: 2008
Publisher: Taylor & Francis
Source: Optimization methods and software, 2008, v. 23, no. 5, p. 703-716 How to cite?
Journal: Optimization methods and software 
Abstract: A new magnetic resonance imaging (MRI) model, called diffusion kurtosis imaging (DKI), was recently proposed, to characterize the non-Gaussian diffusion behaviour in tissues. DKI involves a fourth-order three-dimensional tensor and a second-order three-dimensional tensor. Similar to those in the diffusion tensor imaging (DTI) model, the extreme diffusion values and extreme directions associated to this tensor pair play important roles in DKI. In this paper, we study the properties of the extreme values and directions associated to such tensor pairs. We also present a numerical method and its preliminary computational results.
URI: http://hdl.handle.net/10397/18458
ISSN: 1055-6788
DOI: 10.1080/10556780802367171
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