The main purpose of this work is to study and apply generalized contact distributions of (inhomogeneous) Boolean models Z with values in the extended convex ring. Given a convex body L ⊂ ℝ
d
and a gauge body B ⊂ ℝ
d
, such a generalized contact distribution is the conditional distribution of the random vector (d
B
(L,Z),u
B
(L,Z),p
B
(L,Z),l
B
(L,Z)) given that Z∩L = ∅, where Z is a Boolean model, d
B
(L,Z) is the distance of L from Z with respect to B, p
B
(L,Z) is the boundary point in L realizing this distance (if it exists uniquely), u
B
(L,Z) is the corresponding boundary point of B (if it exists uniquely) and l
B
(L,·) may be taken from a large class of locally defined functionals. In particular, we pursue the question of the extent to which the spatial density and the grain distribution underlying an inhomogeneous Boolean model Z are determined by the generalized contact distributions of Z.