vector3d.vector3d edit page

The class vector3d describes three dimensional vectors, given by their coordinates x, y, z and allows to calculate with them as comfortable as with real numbers.

Syntax

v = vector3d(x,y,z)
v = vector3d(x,y,z,'antipodal')
v = vector3d(xyz)
v = vector3d.byPolar(theta,rho)

Input

`x,y,z`	`cart. coordinates`
`xyz`	`3 × N matrix (one vector per column, gives a 1 × N list) or N × 3 matrix (one vector per row, gives an N × 1 list)`

Output

`v`	`vector3d`

Flags

antipodal consider vector as an axis

Class Properties

`x, y, z`	`cart. coordinates`
`isNormalized`	`whether the vector is a direction`
`antipodal`	`whether the vector is an axis`

Dependent Class Properties

`theta`	`polar angle in radiant`
`rho`	`azimuth angle in radiant`
`resolution`	`mean distance between the points on the sphere`
`xyz`	`cart. coordinates as matrix`

Derived Classes

`Miller`	`crystal directions`
`S2Grid`	`spherical grid`

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/vector3d.vector3d.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.

vector3d.vector3d