A method of grain2d.

the cumulative particle projection function of the outlines (Panozzo 1983); MATLAB’s grain2d.paror

Syntax

cumpl = grains.paror()

Every degree from 0 to 180.

cumpl = paror(grains, np.linspace(0, np.pi, 91))

Every second degree.

Description

For every direction the width of the convex hull of each outline seen from it, summed over the outlines and normalised by its largest value. The hulls are taken once for all the directions.

Input

grains grain2d, or any set of outlines

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

cumpl array, one value per angle

References

R. Panozzo, Two-dimensional analysis of shape fabric using projections of digitized lines in a plane, Tectonophysics 95 (1983) 279-294

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/grain2d.paror_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.

grain2d.paror