Uniformly Distributed Vectors on the Sphere

Create uniformly distributed vectors on the sphere

Usage

runif.spherical(
  n = 100,
  class = c("Vec3", "Ray", "Line", "Plane"),
  method = c("geologyGeometry", "gss", "sfs", "rotasym")
)

Source

Adapted fom rotasym::r_unif_sphere() and rayUniform() from geologyGeometry by Davis, J.R.

Arguments

n

integer. number of random samples to be generated

class

character. Coordinate class of the output vectors.

method

character. The algorithm for generating uniformly distributed vectors. Either "geologyGeometry" (the default) for generating random points in Cartesian coordinates (as in the geologyGeometry code compilation), "sfs" for the "Spherical Fibonacci Spiral points on a sphere", "gss" for "Golden Section Spiral points on a sphere", or the algorithm rotasym::r_unif_sphere() from the rotasym package.

Value

object of class specified by "class" argument

Details

"sfs" algorithm is from on John Burkardt (http://people.sc.fsu.edu/~jburkardt/), "gss is from http://www.softimageblog.com/archives/115

See also

Other random: rbing, rfb(), rkent(), rrot(), rwatson(), vonmises-fisher

Examples

set.seed(20250411)
x1 <- runif.spherical(n = 100, "Ray", method = "sfs")
contour(x1)


x2 <- runif.spherical(n = 100, "Ray", method = "gss")
contour(x2)


x3 <- runif.spherical(n = 100, "Ray", method = "rotasym")
contour(x3)


x4 <- runif.spherical(n = 100, "Ray", method = "geologyGeometry")
contour(x4)