Using an ab initio pseudopotential calculation, we compute Compton profiles of silicon along the ͑100͒, ͑110͒, and ͑111͒ directions, and then reconstruct the pseudo-wave-functions to regain the oscillatory behavior of the all-electron valence wave functions near the atomic cores. We study the effect that this reconstruction has on the Compton profiles and their anisotropies. We find a decrease in the magnitude of the profiles at small wave vectors and in their anisotropies. These changes bring the theoretical predictions closer to experimental results. ͓S0163-1829͑98͒03628-5͔