SO3FunMLS.max edit page

global, local and pointwise maxima of functions on SO(3)

Syntax

[v,pos] = max(SO3F) % the position where the maximum is atained
[v,pos] = max(SO3F,'numLocal',5) % the 5 largest local maxima
SO3F = max(SO3F, c) % maximum of a rotational functions and a constant
SO3F = max(SO3F1, SO3F2) % maximum of two rotational functions
% compute the maximum of a multivariate function along dim
SO3F = max(SO3Fmulti,[],dim)

Input

SO3F, SO3F1, SO3F2 SO3Fun
SO3Fmulti a multivariate SO3Fun
c double

Output

v double
pos rotation / orientation

Options

kmax number of iterations
numLocal number of peaks to return
startingNodes rotation / orientation
tolerance minimum distance between two peaks
resolution minimum step size
maxStepSize maximum step size

Example

%find the local maxima of the <SantaFe.html SantaFe> ODF
[value,ori] = max(SantaFe)
plotPDF(SantaFe,Miller(0,0,1,ori.CS))
annotate(ori)
value =
    5.0394
 
ori = orientation (m3̅m → y↑→x (222))
 
  Bunge Euler angles in degree
     phi1     Phi    phi2
  153.361  48.232  243.45

See also

SO3Fun.min SO3Fun.max SO3Fun.calcComponents

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/SO3FunMLS.max.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.