sphere.runif: Generate Uniform Samples on Sphere

In Riemann: Learning with Data on Riemannian Manifolds

Generate Uniform Samples on Sphere

Description

It generates n random samples from \mathcal{S}^{p-1}. For convenient usage of users, we provide a number of options in terms of the return type.

Usage

sphere.runif(n, p, type = c("list", "matrix", "riemdata"))

Arguments

n	number of samples to be generated.
p	original dimension (of the ambient space).
type	return type; "list" a length-n list of length-p vectors. "matrix" a (n\times p) where rows are unit vectors. "riemdata" a S3 object. See wrap.sphere for more details (Default).

Value

an object from one of the above by type option.

References

\insertRef

chikuse_statistics_2003Riemann

See Also

wrap.sphere

Examples

#-------------------------------------------------------------------
#                       Draw Samples on Sphere
#
# Multiple return types on S^4 in R^5
#-------------------------------------------------------------------
dat.list = sphere.runif(n=10, p=5, type="list")
dat.matx = sphere.runif(n=10, p=5, type="matrix")
dat.riem = sphere.runif(n=10, p=5, type="riemdata")

Riemann documentation built on March 18, 2022, 7:55 p.m.