an equispaced grid of orientations in a ball about a centre

Syntax

ori = localOrientationGrid(CS, SS, maxAngle=20*degree, center=ori0)

The frames and the ball.

ori = localOrientationGrid(CS, SS, 20*degree)

About the identity.

ori = localOrientationGrid(ori0, 10*degree, resolution=2*degree)

About an orientation.

ori = localOrientationGrid(ori0, 10*degree, respectSymmetry=False)

Every point of the ball.

Description

The orientations lie on shells about the centre, resolution apart in angle, and on every shell the axes are spaced so that neighbouring orientations are resolution apart. With respectSymmetry the grid keeps one representative of every orientation the ball holds up to the symmetries of the frames, those nearer the centre than to any of its symmetric copies, so that a ball larger than the fundamental region holds no orientation twice.

Input

`CS`	crystalFrame
`SS`	specimenFrame, by default the default specimen frame
`ori0`	orientation, the centre, whose frames are taken

Keywords

keyword	default	description
`maxAngle`	`None`	the radius of the ball, also given positionally
`resolution`	`5*degree`	the spacing of the grid
`center`	`None`	orientation, the centre of the ball, by default the identity
`respectSymmetry`	`True`	keep one representative of the orientations symmetrically equivalent

Output

ori orientation

Used on

OrientationGrid

MATLAB’s localOrientationGrid

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/localOrientationGrid_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.

localOrientationGrid