low discrepancy grid of orientations from a super Fibonacci spiral
The nodes are the super Fibonacci spiral of M. Alexa, Super-Fibonacci Spirals: Fast, Low-Discrepancy Sampling of SO(3), CVPR 2022, restricted to the fundamental region of the given symmetries. In contrast to a lattice the number of nodes is a free parameter. To cover a ball around a single orientation use localOrientationGrid.
Syntax
S3G = fibonacciSO3Grid(CS)
S3G = fibonacciSO3Grid(CS,SS,'points',10000)
S3G = fibonacciSO3Grid(CS,SS,'resolution',2.5*degree)Input
| CS | crystalSymmetry |
| SS | specimenSymmetry |
Output
| S3G | fibonacciSO3Grid |
Options
| points | approximate number of nodes |
| resolution | node spacing in radiant |
See also
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/fibonacciSO3Grid.fibonacciSO3Grid.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.