one closed outline in the plane of a map, so that every parameter above is there for a curve that came from no segmentation, as the characteristic shape of a boundary and a projection function drawn as a shape are. It is stored anticlockwise, so its area is the positive one

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allV	the vertices of the outline as framed points, the same as Vs
byFV	the outline of a set of segments laid end to end by direction, the characteristic shape
byRhoTheta	an outline in polar coordinates, which is how a projection function becomes the shape it describes
hull	the convex hull of the outline, as an outline
plot	plot of a two dimensional shape, its outline in polar coordinates about its centre
rho	the radius of every vertex in polar coordinates of the plane
shape2d	one closed outline in the plane of a map, so that every parameter above is there for a curve that came from no segmentation, as the characteristic shape of a boundary and a projection function drawn as a shape are
size	the number of outlines, one
theta	the angle of every vertex in polar coordinates of the plane, from the x axis
Vs	the outline as framed points, and in polar coordinates

MATLAB’s shape2d_index

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/shape2d_index_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.

The class shape2d

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