A method of voxelLattice.

the lattice of voxels positions lie on

Syntax

l = voxelLattice.fromPositions(P)

The translations inferred.

l = voxelLattice.fromPositions(P, D)

Known translations, the rows of D.

Description

Without D the translations d1, d2, d3 are the three shortest independent differences from a voxel to its neighbours, ordered and signed to run along x, y and z as far as they can, as MATLAB’s gridify orders the edges of the unit cell. The index of every position is rounded and must lie within a quarter cell of an integer; two positions on one voxel, or positions off one lattice, raise a ValueError. The origin is the corner of the box of indices, so every index is nonnegative.

Input

P (n, 3) array of positions, at least four

Keywords

keyword default description
D None the three translations as the rows of a 3 x 3 array

Output

l voxelLattice

See also

voxelLattice.positions, EBSD3.gridify

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/voxelLattice.fromPositions_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.