A method of SO3VectorFieldHarmonic.

MATLAB’s SO3VectorFieldHarmonic.quadrature(fun, cs): the field of a callable, cut to the last degree that carries more than rounding, as a polynomial field is

Syntax

SO3VF = SO3VectorFieldHarmonic.quadrature(lambda ori: ori * xvector, cs, ss)

A callable, cut to its degree.

SO3VF = SO3VectorFieldHarmonic.quadrature(F.eval, cs, ss, bandwidth=20)

At a bandwidth of its own.

SO3VF = SO3VectorFieldHarmonic.quadrature(t, bandwidth=8)

Through tangent vectors t at orientations.

Description

The field is the SO3VectorFieldHarmonic of fun and the further arguments, a callable taking orientations and returning vectors or tangent vectors evaluated by exact quadrature, another field, or tangent vectors at orientations; then every degree above the last whose coefficients exceed tol times the largest is dropped. A callable is in the left tangent space unless ‘right’ is passed after the frames.

Input

fun callable, SO3VectorField or SO3TangentVector
cs, ss the crystal and the specimen frame, for a callable

Keywords

keyword default description
bandwidth None the bandwidth of the quadrature; the preference ‘defaultSO3Bandwidth’ (64) by default
tol 1e-10 the coefficients below tol times the largest count as rounding when the degree is cut

Output

SO3VF SO3VectorFieldHarmonic

See also

SO3VectorFieldHarmonic, SO3FunHarmonic.quadrature, interpolate

MATLAB’s SO3VectorFieldHarmonic.quadrature

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/SO3VectorFieldHarmonic.quadrature_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.