We present a maximum probability approach to reconstructing spatial maps of the peculiar velocity field at redshifts z~0.1, where the velocities have been measured from distance indicators (DI) such as Tully-Fisher. With the large statistical uncertainties associated with DIs, our reconstruction method aims to recover the underlying true peculiar velocity field by reducing these errors with the use of two physically motivated filtering prior terms. The first constructs an estimate of the velocity field derived from the galaxy over-density and the second makes use of the matter linear density power spectrum. This will prove useful for future tests of gravity, as these relatively deep maps are complementary to weak lensing maps at the same redshift