TDA (version 1.6.2)

sphereUnif: Uniform Sample From The Sphere \(S^d\)

Description

The function sphereUnif samples n points from the sphere \(S^d\) of radius r embedded in \(R^{d+1}\), uniformly with respect to the volume measure of the sphere.

Usage

sphereUnif(n, d, r = 1)

Arguments

n

an integer specifying the number of points in the sample.

d

an integer specifying the dimension of the sphere \(S^d\)

r

a numeric variable specifying the radius of the sphere. The default value is 1.

Value

The function sphereUnif returns an n by 2 matrix of coordinates.

See Also

circleUnif, torusUnif

Examples

# NOT RUN {
X <- sphereUnif(n = 100, d = 1, r = 1)
plot(X)
# }