haldQuadraticFilter uses the techniques elaborated half-quadratic minimization on manifolds to denoise EBSD data. For further details of the algorithm see: R. Bergmann, R. H. Chan, R. Hielscher, J. Persch, G. Steidl Restoration of Manifold-Valued Images by Half-Quadratic Minimization. Preprint, ArXiv #1505.07029. (2015)
With the l1 norms switched on the filter keeps sharp steps, so a subgrain boundary survives the smoothing instead of being blurred away.
Syntax
F = halfQuadraticFilter
F.alpha = 0.5;
ebsd = smooth(ebsd,F)Class Properties
| alpha | regularization parameter, larger means smoother |
| l1DataFit | use the l1 norm for data fitting |
| l1TV | use the l1 norm for regularization |
| iterMax | maximum number of iterations |
| tol | stopping criterion of the gradient descent |
| eps | l1 relaxation parameter |
| threshold | threshold for subgrain boundaries |
| isHex | is the map on a hexagonal grid |
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/halfQuadraticFilter.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.