An x-ray imaging system and method for reconstructing three-dimensional images of a region of interest from spatially and temporally overlapping x-rays using novel reconstruction techniques are provided. The x-ray imaging system may include a detector to generate a signal in response to x-rays incident upon the detector, wherein the signal indicates the intensity of the x-rays incident upon a pixel of the detector, a plurality of x-ray sources arranged to emit x-rays such that said x-rays pass through a region of interest (ROI) and spatially and temporally overlap at the pixel of the detector, and a processing unit to receive the signal indicating the intensity of x-rays incident upon the pixel of the detector and generate an estimate of the intensity attributable to each of the two or more x-rays overlapping at the pixel of the detector.