the spherical Fibonacci grid: N = 2n + 1 points along a spiral, z linear in the index and the azimuth advancing by the golden angle; by default the count fitting a resolution of 5 degree

Syntax

S2G = fibonacciS2Grid(1000)
S2G = fibonacciS2Grid(resolution=2*degree)

Input

N requested number of nodes, rounded to a nearby odd count
resolution target angular spacing in radians when N is omitted; default 5*degree

Members

fibonacciS2Grid the spherical Fibonacci grid: N = 2n + 1 points along a spiral, z linear in the index and the azimuth advancing by the golden angle
find the nearest grid point of every direction and its angle, or with eps the sparse matrices of the points within eps and their angles
neighbourIndices the indices of the grid points within the angle eps of the direction v
plus  
resolution the resolution of the grid, the spacing its number of points gives

Used on

VectorGrids

MATLAB’s fibonacciS2Grid_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/fibonacciS2Grid_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.