  We develop the theory of a generalized probability tomography method to image
source poles and dipoles of a geophysical vector or scalar field dataset. The
purpose of the new generalized method is to improve the resolution power of
buried geophysical targets, using probability as a suitable paradigm allowing
all possible equivalent solution to be included into a unique 3D tomography
image. The new method is described by first assuming that any geophysical field
dataset can be hypothesized to be caused by a discrete number of source poles
and dipoles. Then, the theoretical derivation of the source pole occurrence
probability (SPOP) tomography, previously published in detail for single
geophysical methods, is symbolically restated in the most general way. Finally,
the theoretical derivation of the source dipole occurrence probability (SDOP)
tomography is given following a formal development similar to that of the SPOP
tomography. The discussion of a few examples allows us to demonstrate that the
combined application of the SPOP and SDOP tomographies can provide the best
core-and-boundary resolution of the most probable buried sources of the
anomalies detected within a datum domain.
