apply an arbitrary spatial transformation to an EBSD map
Applies fun to the position of every pixel and to the unit cell, leaving orientations, phase and all other properties untouched. Unlike rotate, fun need not be a rigid transformation - it may be any map from position to position, e.g. to simulate an instrument distortion such as a trapezoidal stage drift, or to reproject onto a different coordinate system.
Syntax
% scale x about the map centre by an amount that grows with y - a
% trapezoidal stage drift of trapFrac at the outermost rows
x = ebsd.pos.x; xCenter = (min(x)+max(x))/2;
y = ebsd.pos.y; yCenter = (min(y)+max(y))/2; yHalf = (max(y)-min(y))/2;
trapFrac = 0.02;
ebsd = transform(ebsd, @(pos) vector3d( ...
xCenter + (pos.x-xCenter) .* (1 + trapFrac*(pos.y-yCenter)/yHalf), ...
pos.y, pos.z));Input
| ebsd | EBSD |
| fun | function handle, vector3d -> vector3d, or a spatialTransform |
Output
| ebsd | EBSD with transformed ebsd.pos and ebsd.unitCell |
See also
EBSD.rotate EBSD.updateUnitCell grain2d.transform spatialTransform
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/EBSD.transform.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.