the plan for a node set on the sphere: the FFT on a Clenshaw-Curtis grid, the NUFFT otherwise

Syntax

p = sphericalPlan(vector3d.rand(1000), 8)

The NUFFT at arbitrary directions.

p = sphericalPlan(quadratureS2Grid(16), 8, real=True)

The FFT on a Clenshaw-Curtis grid.

f = p(fhat)

The series at the nodes.

Description

The coefficients are the internal ones of an S2FunHarmonic, f._fhat, not MATLAB’s fhat.

Input

nodes directions, or a quadratureS2Grid
L the bandwidth

Keywords

keyword default description
real False the plan for real valued functions, which needs half the Fourier array

Output

plan S2GridPlan or S2FourierPlan, called with coefficients, plan.adjoint with values and weights

See also

sphericalSeries, sphericalSeriesAdjoint, wignerPlan

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/sphericalPlan_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.