English

A simple algorithm for uniform sampling on the surface of a hypersphere

Numerical Analysis 2022-05-02 v1 Numerical Analysis

Abstract

We propose a simple method for uniform sampling of points on the surface of a hypersphere in arbitrarily many dimensions. By avoiding the evaluation of computationally expensive functions like logarithms, sines, cosines, or higher order roots the new method is faster than alternative techniques.

Keywords

Cite

@article{arxiv.2204.14004,
  title  = {A simple algorithm for uniform sampling on the surface of a hypersphere},
  author = {Stefan Schnabel and Wolfhard Janke},
  journal= {arXiv preprint arXiv:2204.14004},
  year   = {2022}
}
R2 v1 2026-06-24T11:02:28.119Z