A method of SO3FunComposition.

the gradient with respect to the tangent space basis, at the orientations x or as a field, left or right sided; MATLAB’s grad

Syntax

G = SO3F.grad()

The gradient field.

g = G(ori)

Its values at orientations.

G = SO3F.grad(side='right')

The right sided gradient.

Description

A function without a harmonic form is differentiated by central differences of 0.05 degree along the three axes, a field evaluated when asked, as SO3F.grad(ori) is.

Input

SO3F SO3Fun

Keywords

keyword default description
x None orientation, where to evaluate the gradient; the field when None
side 'left' ‘left’, the tangent vectors in specimen coordinates, or ‘right’, in crystal coordinates

Output

G SO3VectorFieldHandle, the gradient field
g the gradient at the orientations

See also

SO3FunHarmonic.grad, SO3VectorField, orientation.exp

MATLAB’s SO3FunComposition.grad

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/SO3FunComposition.grad_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.