Systems and Methodologies for Proton Computed Tomography

Disclosed are systems, devices and methodologies relating to proton computed tomography. In some implementations, detection of protons can yield track information before and after an object for each proton so as to allow determination of a likely path of each proton within the object. Further, measurement of energy loss experienced by each proton allows determination that a given likely path results in a given energy loss. A collection of such data allows characterization of the object. Such a characterization can include an image map of relative stopping power of the object. Various reconstruction methodologies for obtaining such an image can include superiorization of a merit function such as total variation. Various forms of total variation superiorization methodology can yield excellent results with reduced computing time. In some implementations, such a methodology can result in high quality proton CT images using relatively low dose of protons.