A method includes receiving radiation with a hybrid data detection system of an imaging system. The hybrid data detection system includes a hybrid data detector array with a set of spectral detectors and a set of integrating detectors that are arranged along a transverse axis of an examination region. The method further includes generating a set of truncated spectral projections with the first set of spectral detectors. The method further includes estimating a set of spectral projections for the integrating detectors. The method further includes combining the set of truncated spectral projections and the estimated set of spectral projections. The method further includes estimating a set of spectral projections based on the combined set to produce a complete set of spectral projections. The method further includes processing the complete set of spectral projections to generate volumetric image data.
