We show how to perform a resummation, to all orders in perturbation theory,
of a certain class of gauge invariant tadpole-like diagrams in Lattice QCD
. These diagrams are often largely responsible for lattice artifacts. Our r
esummation leads to an improved perturbative expansion. Applied to a number
of cases of interest, e.g. the lattice renormalization of some two-fermion
operators, this expansion yields results remarkably close to corresponding
nonperturbative estimates. We consider in our study both the Wilson and th
e clover action for fermions.