A method of orientation.

the orientation that maps the directions u best onto the directions v in the least squares sense; MATLAB’s orientation.fit

Syntax

ori = orientation.fit(u, v, cs, ss)

U in the crystal, v in the specimen frame.

ori = orientation.fit(u, v, cs, ss, weights=w)

The pairs weighted.

Description

The rotation minimises the sum of w |ori * u - v|^2 over the pairs of normalised directions, by Horn’s quaternion method. The crystal frame is that of crystal directions u, the second frame that of crystal directions v; a frame named fills the one missing, and two frames named replace both. Without frames the result is between the triclinic frame and the session’s specimen frame.

Input

u, v vector3d or Miller, of one shape
frames the crystal frame, then the specimen frame or a second crystal frame

Keywords

keyword default description
weights None a weight per pair; by default all one

Output

ori orientation

See also

orientation.map, rotation.fit

MATLAB’s orientation.fit

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/orientation.fit_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.