shape2d.shape2d edit page

class representing a single closed shape in the plane

A shape2d is a grain2d consisting of exactly one grain, which makes every grain shape method - long axis, aspect ratio, equivalent radius, paror and surfor - available for an outline that did not come from a segmentation. This is what the characteristic shape of a boundary length distribution is returned as.

Syntax

shape = shape2d(V)
shape = shape2d(V,cs)

Input

V n × 2 list of vertices, or a grainBoundary
cs crystal symmetry

Output

shape shape2d

Class Properties

Vs list of vertices
rho radius in polar coordinates
theta angle in polar coordinates

Example

mtexdata forsterite
grains = calcGrains(ebsd('indexed'));
shape = characteristicShape(grains.boundary('f','f'))
ebsd = EBSDsquare (y↓→x, row↓→col)
 
 Phase  Orientations     Mineral         Color  Symmetry  Crystal reference frame
     0   58485 (24%)  notIndexed          none                                   
     1  152345 (62%)  Forsterite  LightSkyBlue       mmm                         
     2   26058 (11%)   Enstatite  DarkSeaGreen       mmm                         
     3   9064 (3.7%)    Diopside     Goldenrod     12/m1        X||a*, Y||b, Z||c
 
 Properties: bands, bc, bs, error, mad, oldId
 Scan unit : um
 X × Y × Z : [0 → 36550] × [0 → 16750] × [0 → 0]
 Normal vector: (0,0,1)
 Square grid  :336 × 732
 
 
shape = shape2d (y↓→x)
 
 vertices: 1024

See also

grain2d calcTDF characteristicShape

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.shape2d.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.