Coordinate frames, crystal axes and array layouts used to express directions, orientations and measurement positions.
| Class or function | Description |
|---|---|
| referenceFrame | a reference frame, the coordinate system data is expressed in: an identity, a basis, the point group the data is invariant under and the default plotting convention |
| crystalFrame | the reference frame glued to the lattice basis of a phase, with the point group of the crystal |
| specimenFrame | the reference frame a sample is expressed in, with the sample symmetry it claims |
| notIndexedFrame | the frame of the measurements that could not be indexed, a phase of a map without basis, group or colour |
| gridLayout | the order a grid is stored in: the directions of the specimen its row index and its column index advance along |
| crystalAxes | the crystal axes a, b, c in Cartesian coordinates, from the cell of a lattice |
| reciprocalAxes | compute reciprocal basis vectors from a direct crystal basis |
| layoutIndex | the index that lays out an array whose first and second index run along d = (d1, d2) as gL asks, new[r, c] = old.flat[lin[r, c]] |
| alignmentSetups | the twelve alignment pairs [‘X||a’, ‘Z||b*’], .. |
| closestAlignment | the alignment setup a crystal frame is reported in: of the twelve setups the one whose frame lies nearest its basis |
| align | the orientation two frames stand in by their axes, MATLAB’s orientation.align |
| byScreenAlignment | the orientation implied by two frames rendering alike: a point at v renders at inv(rot) * v in screen coordinates, so vB = rotB * inv(rotA) * vA |
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/referenceFrames_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.