Uniformly distributed vectors

Create uniformly distributed vectors using the algorithm Spherical Fibonacci Spiral points on a sphere algorithm (John Burkardt) or Golden Section Spiral points on a sphere.

Usage

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

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 "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

rvmf() to draw samples from the von Mises Fisher distribution around a specified mean vector. rkent() to draw from a Kent-distribution. rfb() to draw from a Fisher-Bingham distribution.

Examples

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


x2 <- runif.spherical(n = 100, "Line", method = "gss")
plot(x2)

x3 <- runif.spherical(n = 100, "Line", method = "rotasym")
plot(x3)