the filter of Bergmann, Chan, Hielscher, Persch and Steidl: the data term and the regularisation each quadratic or an absolute value, and an absolute value keeps a step where a square blurs it. eps is the difference at which the penalty turns from a square into a line, threshold the one above which two neighbours are not smoothed together at all, a subgrain boundary the filter is to leave alone

Input

smoothingLength spatial wavelength controlling smoothing
alpha dimensionless regularisation weight, overriding smoothingLength
l1DataFit use a robust absolute-value data penalty; default True
l1TV use a robust total-variation penalty; default True
threshold misorientation cutoff in radians above which neighbours are not smoothed together; default 15*degree
eps transition scale between quadratic and absolute-value penalties
maxIter maximum iteration count; default 100
tol angular stopping tolerance in radians; default 0.001*degree

Used on

EBSDDenoising, EBSDFilling, EBSDGROD, EBSDKAM, EBSDSharpPlot, LowLevelParentGrainReconstruction, MaParentGrainReconstruction, GND, WBV

source

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_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.