A method of shape2d.

the outline of a set of segments laid end to end by direction, the characteristic shape; MATLAB’s shape2d.byFV

Syntax

cShape = shape2d.byFV(gB.F, gB.V)

In the xy plane.

cShape = shape2d.byFV(gB.F, gB.V, plane=gB.plane, frame=gB.frame)

In the plane of a map.

Description

Every segment and its antipode, sorted by the angle of its direction and summed up, give a closed, convex and centrally symmetric outline centred at the origin. An outline of more than nmax vertices is sampled down to nmax. The plane and frame keywords go to shape2d.

Input

F (n, 2) int array, the vertex indices of every segment
V (m, 2) or (m, 3) array of the vertices

Keywords

keyword default description
nmax 1024 the largest number of vertices of the outline

Output

cShape shape2d

See also

grainBoundary.characteristicShape, shape2d.byRhoTheta

MATLAB’s shape2d.byFV

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.byFV_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.