Poisson–Voronoi approximation
Poisson–Voronoi approximation
Let X be a Poisson point process and K⊂ℝd a measurable set. Construct the Voronoi cells of all points x∈X with respect to X, and denote by vX(K) the union of all Voronoi cells with nucleus in K. For K a compact convex set the expectation of the volume difference …