splineFilter edit page

smoothes quaternions by projecting them into tangential space and performing there smoothing spline approximation

The MTEX default filter. With alpha empty the smoothing parameter is chosen by generalized cross validation, which is why it needs no tuning in most cases. Not yet fully supported on hexagonal grids.

Syntax

F = splineFilter
F = splineFilter(alpha)
ebsd = smooth(ebsd,F)

Input

alpha smoothing parameter, empty means choose it automatically
robust down weight outliers, true by default

Class Properties

alpha smoothing parameter
robust robust smoothing
useEmbedding smooth the isometric embedding instead of the tangent space
isHex is the map on a hexagonal grid

See also

EBSDFilter EBSD.smooth halfQuadraticFilter

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/splineFilter.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.