SO3VectorFieldHarmonic.quadrature edit page

compute the harmonic expansion of a vector field on SO(3) by quadrature

Syntax

SO3VF = SO3VectorFieldHarmonic.quadrature(tVec)

From tangent vectors.

SO3VF = SO3VectorFieldHarmonic.quadrature(tVec, tS)

In the tangent space tS.

SO3VF = SO3VectorFieldHarmonic.quadrature(rot, value)

From values at rotations.

SO3VF = SO3VectorFieldHarmonic.quadrature(rot, value, cs, ss, tS)

With symmetries and tangent space.

SO3VF = SO3VectorFieldHarmonic.quadrature(f)

From a function handle or a vector field.

SO3VF = SO3VectorFieldHarmonic.quadrature(f, 'bandwidth', bw)

Up to bandwidth bw.

Input

rot rotation, orientation
value vector3d, spinTensor, SO3TangentVector
tVec SO3TangentVector
f function handle , SO3VectorField
cs,ss symmetry
tS SO3TangentSpace

Options

bandwidth degree of the Wigner-D functions (default: 64) weights

Output

SO3VF SO3VectorFieldHarmonic

See also

SO3FunHarmonic.quadrature

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.quadrature.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.