the cumulative projection length of the boundary segments (Panozzo 1984); MATLAB’s grainBoundary.surfor

Syntax

lp = gB.surfor()

Every degree from 0 to 180.

lp = surfor(gB, np.linspace(0, np.pi, 91))

Every second degree.

lp = surfor(grains)

The boundary of the grains.

Description

For every direction the lengths of the segments projected onto it, summed and normalised by the largest value. It makes sense only for sufficiently smooth boundaries. MATLAB returns the angles as a second output and takes their step as ‘stepwidth’; here the angles are given.

Input

`gB`	grainBoundary, or grain2d for its boundary

Keywords

keyword	default	description
`omega`	`None`	the angles of the directions to the x axis, by default 0 to 180 degree in steps of one degree

Output

`lp`	array, one value per angle

References

R. Panozzo, Two-dimensional strain from the orientation of lines in a plane, Journal of Structural Geology 6 (1984) 215-221

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/grainBoundary.surfor_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.

grainBoundary.surfor