A method of MLSSolver.

sets the regularisation matrix of the solver, its weight times a discrete Laplacian on the grid; MATLAB’s initRegularisation

Syntax

solver.initRegularisation()

The neighbours within two halfwidths.

solver.initRegularisation(epsilon=15*degree)

Within 15 degree.

Description

Off the diagonal the matrix holds minus the dots of the grid orientations closer than epsilon, on the diagonal minus the sum of the row’s other entries. init calls it when the solver has a regularisation weight.

Input

solver MLSSolver, initialised

Keywords

keyword default description
epsilon None the radius of the neighbours, by default twice the halfwidth of the kernel

Output

solver the solver, its RM set

See also

MLSSolver, calcODF

MATLAB’s MLSSolver.initRegularisation

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/MLSSolver.initRegularisation_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.