A method of EBSD.

the curvature tensor of every pixel, kappa = d omega / d x, in the specimen frame per scan unit; MATLAB’s EBSD.curvature, the incomplete curvature tensor

Syntax

kappa = curvature(ebsd)

From one sided differences.

kappa = curvature(ebsd, stencil='full')

From the least squares fit with the diagonals.

Description

Its rows are the components of the rotation vector and its columns the directions of the specimen, assembled from the gradient along the two axes of the plane of the map. A two dimensional map says nothing about how the orientation changes along its normal, so every column the normal reaches is unknown and NaN.

Input

ebsd EBSD of one phase

Keywords

keyword default description
stencil 'oneSided' ‘oneSided’, ‘lattice’ (‘1hop’) or ‘full’, passed to gradient

Output

kappa curvatureTensor, of the shape of the map

See also

gradient, calcGND, dislocationDensityTensor

MATLAB’s EBSD.curvature

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/EBSD.curvature_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.