Random vectors on a sphere
Generates a sample of points uniformly distributed on the surface of a sphere in d-space.
rsphere(n, d)
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. |
The algorithm is based on normalizing to length 1 each d-vector of a sample from a multivariate normal N(0, I).
a matrix of n rows and d columns.
Giovanni M. Marchetti
## 100 points on circle z <- rsphere(100,2) plot(z) ## 100 points on a sphere z <- rsphere(100, 3) pairs(z)
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