SO3Fun.min edit page

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

Syntax

% global minimum
[v,pos] = min(SO3F)
% local minima
[v,pos] = max(SO3F,'numLocal',5) % the 5 smallest local minima
% pointwise minima
SO3F = min(SO3F, c) % pointwise minimum of a SOFun and the constant c
SO3F = min(SO3F1, SO3F2) % pointwise minimum of two SOFun
SO3F = min(SO3F1, SO3F2, 'bandwidth', bw) % specify the new bandwidth
% global minimum of each component of a vector valued function
[v,pos] = min(SO3Fmulti)
% pointwise minima of a vector valued function along dim
SO3F = min(SO3Fmulti,[],dim)

Input

SO3F, SO3F1, SO3F2 SO3Fun
SO3Fmulti a vector valued SO3Fun
c double

Output

v double
pos rotation / orientation

Options

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

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/SO3Fun.min.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.