A CT scanner has multiple X-ray sources on a first rotatable gantry disposed to illuminate an X-ray detector array. An image processor receives data from the detector array, machine readable instructions in the memory include instructions for energizing K>=2 X-ray sources simultaneously while rotating the gantry through multiple positions and recording measurements at each gantry position. Some measurements correspond to sums of line integrals of radiation from two or more of the X-ray sources as attenuated by passage through an imaging zone to detector array cells, including a first measurement Nmp1 at a first gantry position and a second measurement Nmp2 at a second gantry position represent a sum of line integrals comprising a line integral of attenuation of radiation along a same line L. Instructions determine individual line integrals along the line L from the measurements Nmp1 and Nmp2 that include sums of line integrals along the line L.
