Literature DB >> 20161108

On the six-dimensional orthogonal tensor representation of the rotation in three dimensions: A simplified approach.

Cheng Guan Koay1.   

Abstract

The six-dimensional orthogonal tensor representation of the rotation about an axis in three dimensions was first proposed by (Mehrabadi et al. 1995). In this brief note, a simple and coherent approach is presented to construct the six-dimensional orthogonal tensor representation of the rotation of any parametrization in three dimensions and to prove its orthogonality.

Entities:  

Year:  2009        PMID： 20161108      PMCID： PMC2739601          DOI： 10.1016/j.mechmat.2008.12.006

Source DB:  PubMed          Journal:  Mech Mater        ISSN： 0167-6636            Impact factor:   3.266


  4 in total

1.  A unifying theoretical and algorithmic framework for least squares methods of estimation in diffusion tensor imaging.

Authors:  Cheng Guan Koay; Lin-Ching Chang; John D Carew; Carlo Pierpaoli; Peter J Basser
Journal:  J Magn Reson       Date:  2006-07-07       Impact factor: 2.229

2.  Error propagation framework for diffusion tensor imaging via diffusion tensor representations.

Authors:  Cheng Guan Koay; Lin-Ching Chang; Carlo Pierpaoli; Peter J Basser
Journal:  IEEE Trans Med Imaging       Date:  2007-08       Impact factor: 10.048

3.  The elliptical cone of uncertainty and its normalized measures in diffusion tensor imaging.

Authors:  Cheng Guan Koay; Uri Nevo; Lin-Ching Chang; Carlo Pierpaoli; Peter J Basser
Journal:  IEEE Trans Med Imaging       Date:  2008-06       Impact factor: 10.048

4.  MR diffusion tensor spectroscopy and imaging.

Authors:  P J Basser; J Mattiello; D LeBihan
Journal:  Biophys J       Date:  1994-01       Impact factor: 4.033
  4 in total
  3 in total

1.  Function-structure connectivity in patients with severe brain injury as measured by MRI-DWI and FDG-PET.

Authors:  J Annen; L Heine; E Ziegler; G Frasso; M Bahri; C Di Perri; J Stender; C Martial; S Wannez; K D'ostilio; E Amico; G Antonopoulos; C Bernard; F Tshibanda; R Hustinx; S Laureys
Journal:  Hum Brain Mapp       Date:  2016-11       Impact factor: 5.038

2.  The effect of metric selection on the analysis of diffusion tensor MRI data.

Authors:  Ofer Pasternak; Nir Sochen; Peter J Basser
Journal:  Neuroimage       Date:  2009-10-30       Impact factor: 6.556

3.  Tract Orientation and Angular Dispersion Deviation Indicator (TOADDI): A framework for single-subject analysis in diffusion tensor imaging.

Authors:  Cheng Guan Koay; Ping-Hong Yeh; John M Ollinger; M Okan İrfanoğlu; Carlo Pierpaoli; Peter J Basser; Terrence R Oakes; Gerard Riedy
Journal:  Neuroimage       Date:  2015-11-27       Impact factor: 6.556
  3 in total

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