  In this paper, the 2-D random closed sets (RACS) are studied by means of the
Feret diameter, also known as the caliper diameter. More specifically, it is
shown that a 2-D symmetric convex RACS can be approximated as precisely as we
want by some random zonotopes (polytopes formed by the Minkowski sum of line
segments) in terms of the Hausdorff distance. Such an approximation is fully
defined from the Feret diameter of the 2-D convex RACS. Particularly, the
moments of the random vector representing the face lengths of the zonotope
approximation are related to the moments of the Feret diameter random process
of the RACS.
