Published online by Cambridge University Press: 01 July 2016
The random surface measure of a stationary Boolean model
with grains from the convex ring is considered. A sufficient condition and a necessary condition for the existence of the density of the second-order moment measure of
are given and a representation of this density is derived. As applications, the surface pair correlation functions of a Boolean model with spheres and a Boolean model with randomly oriented right circular cylinders in ℝ3 are determined.