1. A computed tomography (CT) imaging system comprising: a radiation detector array; a rotating gantry supporting a plurality N s greater than or equal to three of radiation sources, the radiation sources configured to project partially overlapping projections on the radiation detector array, the radiation sources configured to radiate simultaneously during at least part of imaging, the plurality of radiation sources including at least first and second extreme sources, the first and second extreme sources defining a central angle θ s between them and other radiation sources of the plurality of radiation sources are between the first and second extreme sources; wherein the central angle θ s is less than it radians and sufficiently large that the respective projections of radiation from the two extreme sources do not overlap each other on the radiation detector array; at least two of the radiation sources producing partially overlapping projections on the radiation detector array; and a processor coupled to receive data from the radiation detector array and having a memory, the memory containing firmware for performing a pre-reconstruction inversion process on the data from the radiation detector array.