Filters and shared boundary networks for smoothing reconstructed grain boundaries.

Class or function	Description
boundaryFilter	the base of the boundary smoothing filters: smooth(V, net, h) moves the free vertices V of a boundary network sampled at the spacing h, the fixed ones stay
laplaceFilter	repeated local averaging, the default
taubinFilter	smoothing without the shrinking: every smoothing pass is followed by a slightly larger unshrinking one with a negative step, so the gain over the pair, (1 - lk)(1 - mk), is about one over the low frequencies and the area is given back
curvatureFilter	the smooth boundary as the minimiser of \|V - V0\|^2 + alpha \|L V\|^2, where L V is how far a vertex sits off the line through its neighbours
huberFilter	smooth grain boundaries with a Huber curvature penalty that preserves sharp corners
boundaryNetwork	the network the smoothing runs on: only the vertices the boundaries use, their neighbours in compressed form, and which of them may not move

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/boundaryFilters_index_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.

Boundary filters