the spatial decomposition of a map into one cell around every pixel, the cell complex calcGrains builds the grains from; MATLAB’s spatialDecomposition
Syntax
cells = decompose(ebsd)
The cells of the map.
cells = decompose(ebsd, alpha=5)
Wider holes filled.
Description
The cell of a pixel is its Voronoi cell among the lattice neighbours within reach, so a cell of a square or hexagonal grid is its unit cell. The map must lie on a lattice; a map without one is refused.
alpha decides what happens to regions of not indexed pixels. A region narrower than 2 alpha pixel spacings is filled, the cells of its indexed neighbours growing into it. A wider one keeps its pixels as holes, which calcGrains makes a notIndexed grain.
The vertices that the cells of neighbouring pixels compute each for themselves are welded into one when they lie within tol.
Input
ebsd |
EBSD on a square or hexagonal lattice |
Keywords
| keyword | default | description |
|---|---|---|
alpha |
3.1 |
the closing radius in pixel spacings: a not indexed region narrower than 2 alpha is filled and its neighbours grow in, a wider one is kept |
tol |
None |
the distance within which two vertices are welded into one, by default a hundredth of the pixel spacing |
backend |
None |
‘numba’ or ‘numpy’, the loops of the clipping and the welding; by default the preference ‘kernels’ |
Output
cells |
cellComplex: the vertices V, the vertex pair F and the site pair of every face, the sites with the pixel each stands for (site2pixel), and the lattice |
See also
calcGrains, EBSD.gridify, GrainReconstruction
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/decompose_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.