  The Minkowski tensors are the natural tensor-valued generalizations of the
intrinsic volumes of convex bodies. We prove two complete sets of integral
geometric formulae, so called kinematic and Crofton formulae, for these
Minkowski tensors. These formulae express the integral mean of the Minkowski
tensors of the intersection of a given convex body with a second geometric
object (another convex body in the kinematic case and an affine subspace in the
Crofton case) which is uniformly moved by a proper rigid motion, in terms of
linear combinations of the Minkowski tensors of the given geometric objects.
