mat2quat edit page

converts direction cosine matrix to quaternion

Description

Wertz says to the algo similar to this with largest divisor q4 = 1/2*sqrt((1+mat(1,1)+mat(2,2)+mat(3,3))); Eqn 12-14a - c Quat(1) = (mat(2,3)-mat(3,2))/q4/4; Quat(2) = (mat(3,1)-mat(1,3))/q4/4; Quat(3) = (mat(1,2)-mat(2,1))/q4/4; Quat(4) = q4

Syntax

q = mat2quat(mat)

Input

mat vector of matrixes

Output

q quaternion

See also

quaternion_matrix Euler axis2quat hr2quat

Citing this page. This page is part of the documentation of MTEX, a free and open source MATLAB toolbox for analyzing and modeling crystallographic textures. It was written by The MTEX Developers and is published at https://mtex-toolbox.github.io/mat2quat.html. If you use MTEX, or reuse text or figures from this page, in your research, please cite

F. Bachmann, R. Hielscher, H. Schaeben: Texture Analysis with MTEX - Free and Open Source Software Toolbox, Solid State Phenomena 160 (2010), 63-68. 10.4028/www.scientific.net/SSP.160.63

BibTeX 
@article{bachmann2010mtex,
  author  = {F. Bachmann and R. Hielscher and H. Schaeben},
  title   = {Texture Analysis with MTEX - Free and Open Source Software Toolbox},
  journal = {Solid State Phenomena},
  volume  = {160},
  pages   = {63-68},
  year    = {2010},
  doi     = {10.4028/www.scientific.net/SSP.160.63},
  url     = {https://doi.org/10.4028/www.scientific.net/SSP.160.63}
}

Other papers describing specific MTEX methods are listed under Publications — please cite the one that best fits your application. The MTEX source code is licensed under the GNU General Public License v2.0; the text and figures of this documentation are licensed under CC BY 4.0, which permits reuse — including by automated systems — provided The MTEX Developers and this page are credited.