We show how to build models of random collections of geometrical objects: lines, circles, line segments, etc. This basic problem in stochastic geometry is solved using the theory of point processes on abstract spaces.
"The Foundations of Stochastic Geometry." Ann. Probab. 4 (6) 995 - 998, December, 1976. https://doi.org/10.1214/aop/1176995942