rsphere function

Random vectors on a sphere

Generates a sample of points uniformly distributed on the surface of a sphere in d-space.

rsphere(n, d)

Arguments

• n: an integer, the sample size.
• d: an integer, the dimension of the space. For example, a circle is defined in 2D-space, a sphere in 3D-space.

Details

The algorithm is based on normalizing to length 1 each d-vector of a sample from a multivariate normal $N(0, I)$.

Returns

a matrix of n rows and d columns.

Author(s)

Giovanni M. Marchetti

See Also

rnorm, rcorr

Examples

## 100 points on circle
z <- rsphere(100,2)
plot(z)

## 100 points on a sphere
z <- rsphere(100, 3)
pairs(z)