Uniform Spherical Distribution Generator
This function generates uniformly random points within a sphere of dimension N. It does this efficiently by inverting cumulative distribution functions, not by generating a uniform rectangular distribution and filtering away. This is particularly important for high dimensional spheres. In 6D for example, only one in twelve points generated in a 6D rectangle lies within the inner 6D sphere.
An example use-case of this function would be to initialize the positions and velocities of an ensemble of particles in three dimensions. In many physics simulations, it is common to perform such initializations independently for each dimension, which wastes processing power on uninteresting regions of phase-space near the corners of the 6D hypercube.
Citation pour cette source
David (2024). Uniform Spherical Distribution Generator (https://www.mathworks.com/matlabcentral/fileexchange/67384-uniform-spherical-distribution-generator), MATLAB Central File Exchange. Récupéré le .
Compatibilité avec les versions de MATLAB
Plateformes compatibles
Windows macOS LinuxCatégories
Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Découvrir Live Editor
Créez des scripts avec du code, des résultats et du texte formaté dans un même document exécutable.
Version | Publié le | Notes de version | |
---|---|---|---|
1.1.0.0 | Prettier picture, more tags, better description.
|
||
1.0.0.0 |