smoothes quaternions by projecting them into tangential space and performing there smoothing spline approximation
The total variation penalty keeps sharp steps, so unlike a spline or halfquadratic filter this one does not smear a subgrain boundary out. The price is a cyclic proximal point iteration, which makes it the slowest of the EBSDFilter.
Syntax
F = l1TVFilter
F = l1TVFilter(alpha)
ebsd = smooth(ebsd,F)Input
| alpha | regularization parameter, larger means smoother |
Output
| F | l1TVFilter |
Class Properties
| alpha | regularization parameter |
| maxit | maximum number of iterations |
| lambda | step sizes of the proximal point iteration |
See also
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/l1TVFilter.l1TVFilter.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.