How to make Poisson voronoi diagram

Question

I am facing a problem as follows : I want to make poisson voronoi diagram & for this I have to appropriately choose some generating points. Sources on internet(WIKI) refers that these points have to be obtained from poisson processes. So, how can I go about doing this in Mathematica? [I have little exposure to Poisson processes or for that matter any other process.]

Answer 1

vMesh = VoronoiMesh[
   myPts = RandomVariate[UniformDistribution[{{0, 1}, {0, 1}}], 50]];
Show[vMesh, Graphics[Point /@ myPts]]