sphereUnif: Uniform Sample From The Sphere S^d

In TDA: Statistical Tools for Topological Data Analysis

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.

Note

When d = 1, this function is same as using circleUnif.

Author(s)

Jisu Kim

See Also

circleUnif, torusUnif

Examples

X <- sphereUnif(n = 100, d = 1, r = 1)
plot(X)

TDA documentation built on April 3, 2025, 9 p.m.