refine grain boundary
Description
Resamples the grain boundaries at a constant spacing, so that the vertices are spread evenly along each boundary instead of sitting on the corners of the pixel grid. Junctions stay exactly where they are. This is the step that lets grain2d/smoothBoundary produce a genuinely smooth boundary rather than a finer staircase.
It is also what keeps a coarsened boundary from collapsing under the smoothing that follows. A simplifyBoundary leaves a curve as a handful of long chords, and a Laplacian run on those few, unevenly spaced vertices cuts the corners off the polygon they form - a circle of 15 pixel radius loses 14% of its area over 25 iterations. Resampling first brings that back to 0.4%.
Syntax
grains = refineBoundary(grains)
grains = refineBoundary(grains,delta)Input
| grains | grain2d |
| delta | new segment length (default: half the median segment length) |
Output
| grains | grain2d |
See also
grainBoundary.refine grain2d.simplifyBoundary grain2d.reduceBoundary 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.refineBoundary.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.