In this section we discus how to analyze grain boundary by intersecting them with certain lines. Lets start by importing some EBSD data and computing grain boundaries.
% load some example data
plottingConvention.default('y↑→x');
mtexdata twins silent
% detect grains
[grains,ebsd] = calcGrains(ebsd);
% smooth them
grains = grains.smoothBoundary;
% visualize the grains
plot(grains,grains.meanOrientation)
% extract all grain boundaries
gB = grains.boundary;
hold on
plot(gB,'LineWidth',2)
hold off
Let start by defining some line by its endpoints and plot in on top of the boundary plot
xy1 = [10,10]; % staring point
xy2 = [41,41]; % end point
line([xy1(1);xy2(1)],[xy1(2);xy2(2)],'linestyle',':','linewidth',4,'color','white')
The command intersect computes the intersections of all boundary segments with the given line
[x,y] = grains.boundary.intersect(xy1,xy2);
hold on
scatter(x,y,'blue','linewidth',2)
hold off
% find the number of intersection points
sum(~isnan(x))ans =
18
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/BoundaryIntersections.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.