remove boundary vertices that carry no shape information
Description
Douglas-Peucker simplification of the grain boundaries. A vertex is dropped if removing it moves the boundary by less than epsilon, so a straight run collapses into a single segment while a corner is kept. On a pixel grid this is what turns the staircase into the straight line it approximates.
Junctions stay exactly where they are, so which grains touch, and where, is unchanged. The grain polygons are retraced along with the boundary, so the grain areas do move - by at most about epsilon times the perimeter. A grain too small to survive the tolerance is left uncoarsened rather than collapsed, so no grain is ever simplified away.
Syntax
grains = simplifyBoundary(grains)
grains = simplifyBoundary(grains,epsilon)Input
| grains | grain2d |
| epsilon | tolerance in EBSD units (default: the median segment length over sqrt(2), which is exactly how far a staircase can stray from the straight line it approximates) |
Output
| grains | grain2d |
See also
grainBoundary.simplify grain2d.reduceBoundary grain2d.refineBoundary grain2d.smoothBoundary
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/grain2d.simplifyBoundary.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.