It's common to want some minimum spacing between your random points, so they don't get clumped together, i.e. approximating uniform spacing rather than uniform

It's common to want some minimum spacing between your random points, so they don't get clumped together, i.e. approximating uniform spacing rather than uniform probability distribution. For that, Poisson-disk sampling is good. See e.g. https://www.jasondavies.com/maps/random-points/ https://www.jasondavies.com/maps/random-points/, https://www.cs.ubc.ca/~rbridson/docs/bridson-siggraph07-poissondisk.pdf https://www.cs.ubc.ca/~rbridson/docs/bridson-siggraph07-pois..., https://www.jasondavies.com/poisson-disc/ https://www.jasondavies.com/poisson-disc/.