I wanted an "aesthetic" distribution of points over a plane, so I wrote Random::PoissonDisc. This module tries to distribute points "equally" across a plane with a minimum distance between each other.
At the release time of the module, I wrote a blog post on Random::PoissonDisc which has graphics showing the distribution differences of "white noise" random and the "blue noise" random that Random::PoissonDisc produces.
If the distribution properties of Random::PoissonDisc match your requirements, you will likely want to reimplement the module using PDL if you want better performance. The paper which outlines the algorithm is also linked from the module documentation.
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