form the cross product of vectors or vector fields.

Syntax

normal = cross(v, w)

Description

For an MTEX object, cross(x, …) calls x.cross(…). 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.cross.

Signature

cross(x, *args, **kwargs)

Methods it calls

S2Grid the cross product of two plane normals is a lattice direction and the one of two directions a plane normal, so the indices switch sides
S2VectorFieldHarmonic F x x = -[x]_x F, on the rows of the coefficients F [x]_x
SO3TangentVector the cross product with tangent vectors at the same reference, brought to this side
SO3VectorFieldHarmonic the pointwise cross product with another field, a field of the same side
vector3d the cross product of two plane normals is a lattice direction and the one of two directions a plane normal, so the indices switch sides

Used on

CrystalOperations, DetectionOfSampleSymmetry, RotationSpinTensor, S2FunRadon, S2FunVectorField, VectorsOperations

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/cross_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.