A method of grain2d.

describe each outline by the ellipse with the same central second area moments

Syntax

center, longAxis, shortAxis = grains.fitEllipse()

Description

The centre is the polygon’s area centroid. The two antipodal vector3d axes point along the principal directions in the specimen frame; their lengths are the ellipse’s semi-axis lengths, with the longer axis first. Holes subtract from the area moments. This is a moment equivalent ellipse, rather than a least-squares fit to boundary vertices, and its area need not equal the polygon area.

Output

center vector3d area centroid of every outline
longAxis long semi-axis vectors
shortAxis short semi-axis vectors

See also

principalComponents, aspectRatio, longAxis, shortAxis

Signature

grain2d.fitEllipse(self)

Used on

EllipseBasedParameters

MATLAB’s grain2d.fitEllipse

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/grain2d.fitEllipse_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.