A method of S2FunHarmonic.

the coefficients up to degree L; without L the trailing degrees whose power, damped by (l+1)^2, stays below 1e-8 of the largest are dropped, MATLAB’s truncate

Syntax

sF = truncate(sF)

The negligible degrees dropped.

sF = truncate(sF, 8)

Cut, or padded with zeros, at degree 8.

Description

The power of a degree is the norm of its coefficients divided by (l+1)^2, a bit of regularisation, as MATLAB’s; of a list of functions the largest over the list counts. MATLAB’s truncate takes no degree.

Input

sF S2FunHarmonic

Keywords

keyword default description
L None the bandwidth of the result

Output

sF S2FunHarmonic

See also

S2FunHarmonic.power, S2FunHarmonic.bandwidth

MATLAB’s S2FunHarmonic.truncate

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/S2FunHarmonic.truncate_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.