1. A computed tomography system, comprising: an x-ray source that rotates about and emits radiation through an imaging region; at least one finite energy resolution detector that detects the emitted radiation, wherein the at least one finite energy resolution detector includes a plurality of sub-detectors, wherein each sub-detector is associated with one or more different energy thresholds and each energy threshold is used to count a number of incident photons corresponding to an energy range; and a reconstruction system that reconstructs the photon counts to generate one or more images of a subject residing within the imaging region utilizing a maximum likelihood estimation that takes into account a finite energy resolution of the detector, wherein for a given energy bin, the estimation takes into account both photons corresponding to the energy bin and photons corresponding to another energy bin that are also assigned to the energy bin.