torusUnif: Uniform Sample From The 3D Torus
In TDA: Statistical Tools for Topological Data Analysis
torusUnif R Documentation
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)
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.
Details
This function torusUnif is an implementation of Algorithm 1 in the reference.
Value
The function torusUnif returns an n by 3 matrix of coordinates.
Author(s)
Fabrizio Lecci
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
X <- torusUnif(300, a = 1.8, c = 5)
plot(X)
TDA documentation built on May 29, 2024, 1:28 a.m.
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| torusUnif | R Documentation |
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)
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. |
Details
This function torusUnif is an implementation of Algorithm 1 in the reference.
Value
The function torusUnif returns an n by 3 matrix of coordinates.
Author(s)
Fabrizio Lecci
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
X <- torusUnif(300, a = 1.8, c = 5)
plot(X)
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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