sphereUnif

The function <code>sphereUnif</code> samples <code>n</code> points from the sphere \(S^d\) of radius <code>r</code> embedded in \(R^{d+1}\), uniformly with respect to the volume measure of the sphere.

datagen

Tools for the statistical analysis of persistent homology and for
density clustering. For that, this package provides an R interface for the
efficient algorithms of the C++ libraries 'GUDHI' <https://project.inria.fr/gudhi/software/>, 'Dionysus' <https://www.mrzv.org/software/dionysus/>, and 'PHAT' <https://bitbucket.org/phat-code/phat/>. This package also implements the methods in Fasy et al. (2014) <doi:10.1214/14-AOS1252> and Chazal et al. (2014) <doi:10.1145/2582112.2582128> for analyzing the statistical significance of persistent homology features.

Jisu Kim

Statistical Tools for Topological Data Analysis

sphereUnif function

<dl> <dt>n</dt>
<dd>an integer specifying the number of points in the sample.</dd>
 <dt>d</dt>
<dd>an integer specifying the dimension of the sphere \(S^d\)</dd>
 <dt>r</dt>
<dd>a numeric variable specifying the radius of the sphere. The default value is <code>1</code>.</dd></dl>

Arguments

Author

Uniform Sample From The Sphere \(S^d\) — sphereUnif

<dl>

 <dt>n</dt>
<dd>an integer specifying the number of points in the sample.</dd>


 <dt>d</dt>
<dd>an integer specifying the dimension of the sphere \(S^d\)</dd>


 <dt>r</dt>
<dd>a numeric variable specifying the radius of the sphere. The default value is <code>1</code>.</dd>

</dl>

sphereUnif: Uniform Sample From The Sphere \(S^d\)

Description

Usage

Value

Arguments

Author

See Also

Examples