abstract class for smoothing grain boundaries
Description
A boundary filter decides how smoothBoundary turns a polygonal grain boundary into a smooth one. It is handed the vertex coordinates together with the adjacency of the boundary network and returns the moved coordinates. Everything else - removing the pixel staircase, resampling, deciding which vertices are allowed to move - happens in smoothBoundary and is the same for every filter.
The filters fall into two groups. laplaceFilter and taubinFilter apply a local averaging step a fixed number of times, so how much they smooth depends on the vertex spacing. curvatureFilter and huberFilter instead define the smooth boundary as the solution of a minimization problem, which is stated in terms of a length and therefore does not change when the same sample is measured on a finer grid.
Syntax
grains = smoothBoundary(grains,taubinFilter)F = curvatureFilter;
F.smoothingLength = 3;
grains = smoothBoundary(grains,F)See also
grain2d.smoothBoundary laplaceFilter taubinFilter curvatureFilter huberFilter
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/boundaryFilter.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.