Learn R Programming

TDA (version 1.9.1)

torusUnif: Uniform Sample From The 3D Torus

Description

The function torusUnif samples n points from the 3D torus, uniformly with respect to its surface.

Usage

torusUnif(n, a, c)

Value

The function torusUnif returns an n by 3 matrix of coordinates.

Arguments

n

an integer specifying the number of points in the sample.

a

the radius of the torus tube.

c

the radius from the center of the hole to the center of the torus tube.

Author

Fabrizio Lecci

Details

This function torusUnif is an implementation of Algorithm 1 in the reference.

References

Diaconis P, Holmes S, and Shahshahani M (2013). "Sampling from a manifold." Advances in Modern Statistical Theory and Applications: A Festschrift in honor of Morris L. Eaton. Institute of Mathematical Statistics, 102-125.

See Also

circleUnif,sphereUnif

Examples

Run this code
X <- torusUnif(300, a = 1.8, c = 5)
plot(X)

Run the code above in your browser using DataLab