sphere_fibonacci_grid

sphere_fibonacci_grid, an Octave code which constructs a grid of points using the Fibonacci spiral over the surface of a sphere in 3D.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

sphere_fibonacci_grid is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

sphere_fibonacci_grid_test

octave_grid, an Octave code which generates a regular grid of points inside a variety of regions in one, two, three or many dimensions.

sphere_cvt, an Octave code which creates a mesh of well-separated points using centroidal voronoi tessellations over the surface of the unit sphere in 3d.

sphere_delaunay, an Octave code which computes the delaunay triangulation of points on the surface of a sphere in 3d.

sphere_lebedev_rule, an Octave code which computes lebedev quadrature rules over the surface of the unit sphere in 3d.

sphere_stereograph, an Octave code which computes the stereographic mapping between points on the unit sphere and points on the plane z = 1.

sphere_voronoi, an Octave code which computes the voronoi diagram of points on a sphere.

Reference:

1. Edward Saff, Arno Kuijlaars,
   Distributing Many Points on a Sphere,
   The Mathematical Intelligencer,
   Volume 19, Number 1, 1997, pages 5-11.
2. Richard Swinbank, James Purser,
   Fibonacci grids: A novel approach to global modelling,
   Quarterly Journal of the Royal Meteorological Society,
   Volume 132, Number 619, July 2006 Part B, pages 1769-1793.

Source Code:

• r8mat_print.m, prints an R8MAT.
• r8mat_print_some.m, prints some of an R8MAT.
• r8mat_write.m, writes an R8MAT to a file.
• sphere_fibonacci_grid_display.m, displays a spherical Fibonacci grid.
• sphere_fibonacci_grid_points.m, computes the points on a spherical Fibonacci grid.