Filters for smoothing orientation measurements while controlling how grain boundaries are treated.

Class or function	Description
EBSDFilter	the base of the denoising filters of a gridded EBSD map, which replace the orientation of every pixel by one computed from its neighbours: smooth(ebsd, F)
meanFilter	the mean of the neighbourhood, the fastest filter and the one that blurs a boundary most
medianFilter	the componentwise median of the neighbourhood, which takes a wild pixel out without pulling the boundary after it
KuwaharaFilter	the mean of the most homogeneous of the four quadrants of the window, which smooths within a grain and leaves a step where one is
splineFilter	the smoothing spline: the field of least \|u - f\|^2 + alpha \|L u\|^2, with L the Laplacian of the neighbour graph
halfQuadraticFilter	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
l1TVFilter	the total variation filter of the orientations of a map, absolute in the data term and in the differences between neighbours, which smooths noise and keeps sharp steps
infimalConvolutionFilter	the field split into two, u = u1 + u2, one penalised in its differences and one in its Laplacian, which keeps both a step and a slope: the infimal convolution of first and second order total variation

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/EBSDFilters_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.

EBSD filters