SPHERE_FIBONACCI_GRID
Fibonacci Spiral Grid on a Sphere

SPHERE_FIBONACCI_GRID, a MATLAB library 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 GNU LGPL 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 library which computes a grid of points over the interior of a ball in 3D.

CIRCLE_ARC_GRID, a MATLAB program which computes points equally spaced along a circular arc;

CUBE_GRID, a MATLAB library which computes a grid of points over the interior of a cube in 3D.

DISK_GRID, a MATLAB library which computes a grid of points over the interior of a disk in 2D.

ELLIPSE_GRID, a MATLAB library which computes a grid of points over the interior of an ellipse in 2D.

ELLIPSOID_GRID, a MATLAB library which computes a grid of points over the interior of an ellipsoid in 3D.

HYPERCUBE_GRID, a MATLAB library which computes a grid of points over the interior of a hypercube in M dimensions.

LINE_GRID, a MATLAB library which computes a grid of points over the interior of a line segment in 1D.

POLYGON_GRID, a MATLAB library which generates a grid of points over the interior of a polygon in 2D.

PYRAMID_GRID, a MATLAB library which computes a grid of points over the interior of the unit pyramid in 3D;

SIMPLEX_GRID, a MATLAB library which generates a grid of points over the interior of a simplex in M dimensions.

SPHERE_CVT, a MATLAB library 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 program which computes the Delaunay triangulation of points on the surface of a sphere in 3D.

sphere_fibonacci_grid_test

SPHERE_GRID, a MATLAB library which generates a grid of points over the surface of a sphere in 3D.

SPHERE_LEBEDEV_RULE, a MATLAB library which computes Lebedev quadrature rules over the surface of the unit sphere in 3D.

SPHERE_LLQ_GRID, a MATLAB library 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 library which computes a grid of triangles bounded by latitude and longitude lines over the surface of a sphere in 3D.

SPHERE_STEREOGRAPH, a MATLAB library which computes the stereographic mapping between points on the unit sphere and points on the plane Z = 1.

SPHERE_VORONOI, a MATLAB program which computes the Voronoi diagram of points on a sphere.

SQUARE_GRID, a MATLAB library which computes a grid of points over the interior of a square in 2D.

TETRAHEDRON_GRID, a MATLAB library which computes a grid of points over the interior of a tetrahedron in 3D.

TRIANGLE_GRID, a MATLAB library which computes a grid of points over the interior of a triangle in 2D.

WEDGE_GRID, a MATLAB library which computes a grid of points over the interior of the unit wedge in 3D.

Reference:

Edward Saff, Arno Kuijlaars,
Distributing Many Points on a Sphere,
The Mathematical Intelligencer,
Volume 19, Number 1, 1997, pages 5-11.
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.
timestamp.m, prints the current YMDHMS date as a time stamp.