(a) A gamma ray, produced by a proton beam incident on a tissue phantom, interacts in each of the three detector stages of a CCI system. The gamma origin and three interaction positions are indicated by stars. (b) The origin cone for a gamma ray detected by a three-stage CC. When a gamma produces three interactions in the detector, the scattering angles, θ1 and θ2 as well as the initial gamma energy, E0, can be derived from the interaction positions and the two energies deposited, ΔE1 and ΔE2. The CC cannot determine the origin of the gamma ray, but because the scattering angle θ1 is known, the origin of the gamma ray is restricted to the surface of the origin cone. This cone’s apex is the first scattering position, and its opening angle is 2θ1.