EBSD.lattice edit page

the virtual lattice this EBSD's measurements sit on

Computed on every access (like ebsd.orientations) rather than cached on the object - simplest to keep correct since pos/unitCell can change underneath it, at the cost of recomputing latticeBasis + the per-pixel index on each call. A caching option could be added later if this ever shows up as a bottleneck.

This is the single canonical place that turns ebsd.unitCell + ebsd.pos into a lattice basis and a per-pixel integer index - previously reimplemented independently (and not always robustly) in gridIndex, gridComponents, spatialDecompositionGrid, generateUnitCells and calcMesh.

Syntax

g = ebsd.lattice

Output

g struct with fields
A 2 × 2 lattice basis, columns are the grid step vectors
stencil k × 2 integer neighbour offsets (k = 4 square, 6 hex)
dxy representative spacing = mean column norm of A
origin 1 × 2 physical position corresponding to ij = [0 0]
ij nEbsd × 2 integer lattice index of every pixel, robust to smooth (e.g. trapezoidal) grid distortion
Note: ij is RELATIVE to this data's own extent. A phase subset therefore gets its own origin; do not compare indices across different subsets expecting a common frame.

See also

EBSD.latticeBasis EBSD.gridIndex

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.lattice.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.