A direct method to reconstruct the transverse structure of the baryon sourc
e formed in a relativistic heavy ion collision is presented, The procedure
makes use of experimentally measured proton and deuteron spectra and assume
s that deuterons are formed via two-nucleon coalescence. The transverse den
sity shape and flow profile are reconstructed for Pb + Pb collisions at the
CERN-SPS, The ambiguity with respect to the soul ce temperature is demonst
rated and possible ways to resolve it are discussed. (C) 2000 Elsevier Scie
nce B.V. All rights reserved.