Determination of fiber orientation in MRI diffusion tensor imaging based on higher-order tensor decomposition.
High Angular Resolution Diffusion Imaging (HARDI) techniques have been used for resolving multiple fiber directions within a voxel. Using HARDI, a high-order tensor can be obtained through generalized diffusion tensor imaging (GDTI). In this paper, based on the decomposition of the high-order diffusion tensors, a mathematical technique is presented which permits accurate resolution of multiple, randomly-oriented fiber tracts within tissue. A sequence of pseudo-eigenvalues and pseudo-eigenvectors are derived from the diffusion tensor through successive application of a best least-square rank-1 tensor approximation. These pseudo-eigenvalues and pseudo-eigenvectors are used to identify the major fiber directions within an individual image voxel. Results of a numerical simulation are presented to demonstrate the technique.
Ying
Leslie Lei
LL
Department of Electrical Engineering and Computer Science, University of Wisconsin-Milwaukee, Milwaukee, WI 53201-0784, USA. leiying@uwm.edu
Zou
Yi Ming
YM
Klemer
David P
DP
Wang
Jiun-Jie
JJ
D000465:Algorithms; D001931:Brain Mapping / Q000295:instrumentation* / Q000379:methods; D003627:Data Interpretation, Statistical; D004058:Diffusion; D038524:Diffusion Magnetic Resonance Imaging / Q000295:instrumentation* / Q000379:methods*; D006801:Humans; D007089:Image Enhancement; D007091:Image Processing, Computer-Assisted / Q000295:instrumentation* / Q000379:methods; D021621:Imaging, Three-Dimensional / Q000295:instrumentation* / Q000379:methods; D015233:Models, Statistical; D008962:Models, Theoretical; D016011:Normal Distribution; D013997:Time Factors