A method includes performing a motion compensated reconstruction of functional projection data using a patient-adapted motion model, which is generated based on a generic anatomical motion model and imaging data from a structural scan. A system includes a first adapter (202) configured to adapt a generic anatomical model to structural image data, producing an adapted model, a forward projector (204) configured to forward project the adapted model, producing forward projected data, and a second adapter (206) configured to adapt the forward projected data to individual projections of projected data, which is used to generate the structural image data, producing a patient-adapted motion model.