differentiate a scalar function or a smoothing kernel.
Syntax
gradient = grad(f)
Description
For an MTEX object, grad(x, …) calls x.grad(…). Additional positional and keyword arguments are passed to that method unchanged. Its documentation specifies the accepted inputs, units, symmetry handling and optional outputs. Consult the corresponding method for the behaviour of a particular object type.
Signature
grad(x, *args, **kwargs)
Methods it calls
| S1BumpKernel | the derivative of the bump kernel, zero wherever it exists |
| S1FunHarmonic | the derivative as a function, or its values at the angles x |
| S1Kernel | the derivative of a kernel on the circle, -2 sum_k k c_k sin(kx) |
| S2BumpKernel | the derivative of the bump kernel, zero wherever it exists |
| S2FunHarmonic | the surface gradient: a vector field, or its values at the directions x |
| S2Kernel | the derivative of a kernel on the sphere with respect to the polar angle, or to its cosine |
| SO3BumpKernel | the derivative of the bump kernel, zero wherever it exists |
| SO3FunCBF | the gradient of a fibre ODF at orientations, or without them the vector field of the gradients of its harmonic expansion, as MATLAB’s grad |
| SO3FunComposition | the gradient with respect to the tangent space basis, at the orientations x or as a field, left or right sided |
| SO3FunHarmonic | the gradient, a harmonic vector field on SO(3), left or with side=’right’ right |
| 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 |
| SO3Kernel | the derivative with respect to the rotation angle omega at the cosine argument t = cos(omega/2) |
Used on
SO3FunOperations, S2FunOperations
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/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.