SO3VectorFieldHarmonic.approximate edit page

Approximate a vector field on the rotation group (SO(3)) in its harmonic representation from a given vector field.

We compute this vector field componentwise, i.e. we compute three SO3FunHarmonics individually by quadrature. So, see SO3VectorFieldHarmonic.quadrature for further information.

Syntax

SO3VF = SO3VectorFieldHarmonic.approximate(f)                 % exact computation by quadrature
SO3VF = SO3VectorFieldHarmonic.approximate(f,'bandwidth',48)  % exact computation by quadrature

Input

f SO3VectorField

Output

SO3VF SO3VectorFieldHarmonic

Options

bandwidth maximal harmonic degree (Be careful by setting the bandwidth by yourself, since it may yields undersampling)
weights corresponding to the nodes (default: Voronoi weights, 'equal': all nodes are weighted similar, numeric array W: specific weights for every node)

See also

SO3FunHarmonic.approximate SO3VectorFieldHarmonic

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/SO3VectorFieldHarmonic.approximate.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.