1. A method, comprising: receiving spectral/multi-energy projection data, including at least two subsets of measured line integrals, each subset representing attenuation properties of a scanned object for different X-ray spectra; decomposing the spectral/multi-energy projection data into a plurality of basis material line integrals; determining a statistical model for the plurality of bases material line integrals, and de-noising, solely in the projection domain, the plurality of basis material line integrals by removing correlated noise from the plurality of basis material line integrals according to the statistical model the generating de-noised decomposed basis material line integrals.