  The advent of synchrotron sources has led to an increasing availability of
high resolution Compton Profiles J(pz) and a consequent renewed interest in the
reconstruction of the corresponding full momentum densities rho(p).
  We present results of applying a new method in which the radial parts of
rho(p) and the measured profiles are expressed in terms of Jacobi polynomials.
The technique is demonstrated using model projections that correspond to Mg and
Gd spectra. Reconstructed densities, being in very good agreement with model
ones, are a very good performance of our new reconstruction algorithm.
