the super-Fibonacci grid of orientations, a low-discrepancy quaternion spiral trimmed to one fundamental region of the frame pair, searched through the quaternion k-d tree; built by superfibonacciSO3Grid

Syntax

S3G = superfibonacciSO3Grid(cs, ss, resolution=5*degree)

Input

rot rotations of the grid nodes, normally supplied by superfibonacciSO3Grid
frameA crystal reference frame
frameB specimen reference frame
resolution nominal angular node spacing in radians

Members

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
resolution the mean nearest-neighbour spacing the grid was built for, in radians
subGrid the grid of the orientations a mask or an index array selects
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/SO3FibonacciGrid_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.