  We consider a functional relation between a given Wilsonian RG flow, which
has to be related to a specific coarse-graining procedure, and an infinite
family of (UV cutoff) scale dependent field redefinitions. Within this
framework one can define a family of Wilsonian proper-time exact RG equations
associated to an arbitrary regulator function. New applications of these RG
flow schemes to the Ising Universality class in three dimensions in the
derivative expansion are shortly illustrated.
