  A direct method to reconstruct the transverse structure of the baryon source
formed in a relativistic heavy ion collision is presented. The procedure makes
use of experimentally measured proton and deuteron spectra and assumes that
deuterons are formed via two-nucleon coalescence. The transverse density shape
and flow profile are reconstructed for Pb+Pb collisions at the CERN-SPS. The
ambiguity with respect to the source temperature is demonstrated and possible
ways to resolve it are discussed.
