Determine position of scattered events in pixelated gamma detector using inverse energy weighting

A positron emission imaging apparatus, comprising:

• processing circuitry configured to
• obtain emission data representing positions and energies of gamma rays incident at a plurality of detector elements, each detector element of the plurality of detector elements including a respective photodetector and scintillator crystal, the scintillator crystal of the each detector element being, at least partially, isolated from other scintillator crystals of the plurality of detector elements,
• correct an incident position of a primary gamma ray, when the primary gamma ray is scattered, using an inverse-energy weighting to combine a position of the primary gamma ray with a position of a corresponding scattered gamma ray to generate a corrected position, wherein the inverse-energy weighting divides a respective position of the emission data by a corresponding energy of the emission data that have been raised to a power p, wherein p is a positive number, and
• reconstruct an image using the emission data together with the corrected position.