An alternative method for reconstruction of three-dimensional momentum dens
ity from directional Compton profiles is proposed and successfully applied
to theoretical data on magnesium oxide (with a random noise added). The met
hod consists of obtaining a compact analytical model for the reconstructed
n(p) from the least-squares fit directly on the directional profiles. The r
esult is compared, together with a standard numerical-based reconstruction,
to the theoretical momentum density from which the profiles were calculate
d.