a vector field on the sphere given by a callable of the directions, the bandwidth a hint for its harmonic expansion

Syntax

vF = S2VectorFieldHandle(lambda v: v.cross(vector3d.Z))

Input

fun callable receiving unit vector3d directions and returning one vector per direction
frame referenceFrame of the query directions, or None for frame-free directions
bandwidth harmonic degree used when approximating the callable; default defaultS2Bandwidth preference

Members

eval the vectors the callable gives at the directions x, vF(x)
fhat the coefficients of the harmonic expansion of the field at its bandwidth hint
rotate the field rotated by r, v’(xi) = r v(r^-1 xi)
S2VectorFieldHandle a vector field on the sphere given by a callable of the directions, the bandwidth a hint for its harmonic expansion

MATLAB’s S2VectorFieldHandle_index

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/S2VectorFieldHandle_index_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.