the equispaced grid of orientations over one fundamental region of its frame pair, MATLAB’s SO3Grid: an S2 grid of the images of z with a ladder of gamma per node, so a search costs three binary searches; built by equispacedSO3Grid, and anything derived from it is a plain orientation list

Syntax

S3G = equispacedSO3Grid(cs, ss, resolution=5*degree)

Members

alphaPeriod the period of alpha, 2 pi over the order of the rotations about z the frames share
dot_outer the dot product up to symmetry, cos(omega/2) of the misorientation angle omega reduced over the groups of both frames
find the nearest grid rotation of every orientation, or the k nearest, or all within a radius, up to the symmetries of the grid’s frames
gamma the ladder of every node as an S1Grid
mtimes  
node the indices of the orientations on the gamma ladder of node k
numNodes the number of nodes of the S2 grid of (alpha, beta), each carrying a ladder of gamma
nZ the number of rotations about z absorbed by the period of alpha
radius every grid rotation within eps of each query, up to symmetry: the sparse incidence (nq x n) and the sparse cos(w/2) of the reduced angles
resolution the resolution the grid was built for, in radians
SO3Grid the equispaced grid of orientations over one fundamental region of its frame pair, MATLAB’s SO3Grid: an S2 grid of the images of z with a ladder of gamma per node, so a search costs three binary searches
subGrid the rotations selected by a mask
subsref  

MATLAB’s SO3Grid_index

source

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/SO3Grid_index_py.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.