the smallest bandwidth at least L whose 2L+2 the folds divide

Syntax

L = bandwidthFor(10, 6, 2)

11: 24 is a multiple of lcm(6, 2).

L = bandwidthFor(10, cs, ss)

The folds of two frames.

Description

The quadrature grids on SO(3) of bandwidth L have 2L+2 nodes in the first and the third Euler angle; a bandwidth whose 2L+2 the folds divide lets the grid follow the symmetry.

Input

L the smallest bandwidth acceptable
rA the fold of the crystal side, or the crystal frame

Keywords

keyword default description
rB 1 the fold of the specimen side, or the specimen frame when rA is a frame

Output

L int

See also

folds, quadratureSO3Grid

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/bandwidthFor_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.