ellipsoids as one polygon mesh of a scene3d; the surfaces plotEllipsoid draws, MATLAB’s plotEllipsoid

Syntax

mesh = ellipsoids3d(center, a, b, c)

Light blue ellipsoids.

mesh = ellipsoids3d(center, a, b, c, color=[[1, 0, 0], [0, 0, 1]], n=12, m=6)

A colour each, coarser.

Description

Every ellipsoid is the set center + cos(theta) a + sin(theta) (sin(rho) b + cos(rho) c), divided into quadrilaterals along n longitudes rho and m latitudes theta; a, b and c are the half axes as vectors, as principalComponents of 3D grains returns them.

Input

center array (k, 3), the centres
a, b, c arrays (k, 3), the three half axes of every ellipsoid

Keywords

keyword default description
color 'lightblue' one colour for all, a name or an RGB triple, or one RGB row per ellipsoid
edgeAlpha 0.25 the opacity of the edges of the quadrilaterals
n 24 the number of longitudes
m 12 the number of latitudes

Output

mesh mesh3d, the surfaces of all ellipsoids

See also

plotEllipsoid, scene3d, arrows3d, Grains3DProperties

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/ellipsoids3d_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.