A method of SO3FunRBF.

the gradient of a kernel sum at orientations, or without them the vector field of the gradients of its harmonic expansion, as MATLAB’s grad

Syntax

g = SO3F.grad(ori)

The gradients at ori, tangent vectors on the left.

g = SO3F.grad(ori, side='right')

Tangent vectors on the right, in crystal coordinates.

G = SO3F.grad()

The gradient field, an SO3VectorFieldHarmonic.

Description

Every centre contributes minus the kernel’s angular derivative along the geodesic to every symmetric equivalent within its support; a query with none in reach takes the nearest centre alone. The left side expresses a tangent vector in specimen coordinates, the right one in crystal coordinates.

Input

SO3F SO3FunRBF

Keywords

keyword default description
x None the orientations; without them the gradient field is returned
side 'left' ‘left’ or ‘right’, the side of the tangent vectors

Output

g SO3TangentVector at the orientations
G SO3VectorFieldHarmonic without them

See also

SO3Kernel.grad, SO3FunHarmonic.grad, SO3TangentVector

MATLAB’s SO3FunRBF.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/SO3FunRBF.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.