the harmonic function of op applied pointwise to f and gs, by quadrature at the sum of their bandwidths, capped by the preference, or at the given bandwidth

Syntax

h = mapFun(np.exp, f)

Exp of one function.

h = mapFun(np.maximum, f, g, bandwidth=64)

The pointwise maximum of two, of bandwidth 64.

Description

op is evaluated at the nodes of a quadrature grid of the bandwidth, with the values of f and gs as its arguments, and the result expanded again; the functions are on SO(3) (SO3FunHarmonic), on the sphere (S2FunHarmonic) or on the circle (S1FunHarmonic) and must share their frames. A list of functions on SO(3) gives a list, op reducing over the axes after the nodes. It is what exp, log, sqrt, max and min of the harmonic functions use.

Input

op a function of arrays, applied to the values
f SO3FunHarmonic, S2FunHarmonic or S1FunHarmonic
gs further functions of the same kind and frames

Keywords

keyword default description
bandwidth None the bandwidth of the result; by default the sum of the bandwidths, at most the preference maxSO3Bandwidth, maxS2Bandwidth or maxS1Bandwidth

Output

h the harmonic function of the kind of f

See also

SO3FunHarmonic.exp, SO3FunHarmonic.sqrt, max, SO3FunHarmonic.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/mapFun_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.