Comparison of Various Reconstruction Techniques for Line Projections

The most effective and popular algorithms to reconstruct the three-dimensional electron-positron momentum density from the measurements of the two-dimensional angular correlation of annihilation radiation are based on the Fourier transform or polynomial expansion. We compare the efficacy of different methods in reconstructing the momentum density of the rare-earth based compounds $ErGa_3$, $CeIn_3$ and model profiles, presenting also our new filtering algorithm.