an abstract class representing sections through orientation space
Orientation space is three dimensional, so plotting an ODF means slicing it. A deriving class fixes how the slices are cut and how an orientation is projected into a slice; everything the plotting needs - the grid, the projection, the axes labels - is asked through this interface.
Class Properties
| CS1, CS2 | the two symmetry |
| CS, SS | crystal and specimen symmetry |
| tol | tolerance an orientation may deviate from a section |
| plotGrid | the grid the section is evaluated on |
| gridSize | number of points per section |
Derived Classes
| sigmaSections | fixed phi1 - phi2, the MTEX default |
| phi1Sections | fixed Euler angle phi1 |
| PhiSections | fixed Euler angle Phi |
| phi2Sections | fixed Euler angle phi2 |
| alphaSections | fixed Matthies Euler angle alpha |
| gammaSections | fixed Matthies Euler angle gamma |
| axisAngleSections | fixed misorientation angle |
| omegaSections | rotations about a fixed axis |
| pfSections | pole figure like sections |
| ipfSections | inverse pole figure like sections |
Example
cs = crystalSymmetry('222')
oS = axisAngleSections(cs,cs);
ori = oS.makeGrid('resolution',2.5*degree);
oM = PatalaColorKey(cs,cs)
rgb = oM.orientation2color(ori);
plot(oS,rgb,'surf')cs = crystalSymmetry (⊙c→a)
symmetry: 222
elements: 4
a, b, c : 1, 1, 1
oM = PatalaColorKey (222 → 222)
antipodal: true
ori = orientation.rand(100,cs,cs)
plot(oS,ori)ori = misorientation (222 → 222)
size: 100 x 1
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/ODFSections.ODFSections.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.