sphere_fibonacci_grid


sphere_fibonacci_grid, a MATLAB 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.

Related Data and Programs:

ball_grid, a MATLAB code which computes a grid of points over the interior of a ball in 3d.

circle_arc_grid, a MATLAB code which computes points equally spaced along a circular arc;

cube_grid, a MATLAB code which computes a grid of points over the interior of a cube in 3d.

disk_grid, a MATLAB code which computes a grid of points over the interior of a disk in 2d.

ellipse_grid, a MATLAB code which computes a grid of points over the interior of an ellipse in 2d.

ellipsoid_grid, a MATLAB code which computes a grid of points over the interior of an ellipsoid in 3d.

hypercube_grid, a MATLAB code which computes a grid of points over the interior of a hypercube in m dimensions.

line_grid, a MATLAB code which computes a grid of points over the interior of a line segment in 1d.

polygon_grid, a MATLAB code which generates a grid of points over the interior of a polygon in 2d.

pyramid_grid, a MATLAB code which computes a grid of points over the interior of the unit pyramid in 3d;

simplex_grid, a MATLAB code which generates a grid of points over the interior of a simplex in m dimensions.

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

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

sphere_fibonacci_grid_test

sphere_grid, a MATLAB code which generates a grid of points over the surface of a sphere in 3d.

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

sphere_llq_grid, a MATLAB code which computes a grid of quadrilaterals bounded by latitude and longitude lines over the surface of a sphere in 3d.

sphere_llt_grid, a MATLAB code which computes a grid of triangles bounded by latitude and longitude lines over the surface of a sphere in 3d.

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

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

square_grid, a MATLAB code which computes a grid of points over the interior of a square in 2d.

tetrahedron_grid, a MATLAB code which computes a grid of points over the interior of a tetrahedron in 3d.

triangle_grid, a MATLAB code which computes a grid of points over the interior of a triangle in 2d.

wedge_grid, a MATLAB code which computes a grid of points over the interior of the unit wedge in 3d.

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:


Last revised on 25 March 2019.