take a pointwise logarithm or map rotations to tangent vectors.

Syntax

result = log(x)

Description

For an MTEX object, log(x, …) calls x.log(…). Additional positional and keyword arguments are passed to that method unchanged. Its documentation specifies the accepted inputs, units, symmetry handling and optional outputs. Consult the corresponding method for the behaviour of a particular object type.

For numeric arrays without an MTEX method, this calls numpy.log.

Signature

log(x, *args, **kwargs)

Methods it calls

orientation	the logarithm of an orientation, the tangent vector at a reference pointing to it
quaternion	the tangent vector pointing from the reference, the identity by default, to this rotation
S1FunHarmonic	the pointwise logarithm, a Fourier series of a smoothing bandwidth, or at the bandwidth given
S2FunHandle	the pointwise logarithm, a handle evaluated when asked
S2FunHarmonic	the logarithm of the function, expanded by quadrature, or at the bandwidth given
SO3FunCBF	the logarithm of the function, pointwise, as a function handle
SO3FunHarmonic	the logarithm of the function, by quadrature at twice the bandwidth, or at the bandwidth given
SO3FunRBF	the logarithm of the function, pointwise, as a function handle

Used on

EBSDOrientationPlots, GrainReconstructionAdvanced, RotationSpinTensor, RotationTangentSpace

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/log_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.