A method and apparatus for producing a PET image of a tissue using a PET scanner that includes scintillation crystals and detectors. A first crystal group including a first subset of crystals is formed, and a second crystal group including a second subset of the crystals is formed. The crystals in the first crystal group are different from crystals in the second crystal group A first beam striking one or more crystals of the first crystal group is converted to a first electrical signal, while a second beam striking one or more crystals of the second crystal group is converted to a second electrical signal, wherein the second beam is scattered from the first beam. The second electrical signal is corrected using a correction factor derived from at least one of a first and second timing relationships to compensate for energy in the second signal scattered from the first signal. An image of the tissue is created using the corrected second electrical signal.