title: Determination of fiber orientation in MRI diffusion tensor imaging based on higher-order tensor decomposition.
abstract: 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.
authors.affiliation: Department of Electrical Engineering and Computer Science, University of Wisconsin-Milwaukee, Milwaukee, WI 53201-0784, USA. leiying@uwm.edu
authors.forename: Leslie Lei
authors.initials: LL
authors.lastname: Ying
authors.forename: Yi Ming
authors.initials: YM
authors.lastname: Zou
authors.forename: David P
authors.initials: DP
authors.lastname: Klemer
authors.forename: Jiun-Jie
authors.initials: JJ
authors.lastname: Wang
mesh_terms: 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