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A theoretical formulation of the effective point spread function of a slat collimator on a strip detector has been derived. The used technique is based on the geometric response function of a single gap and it accurately describes the performance of the collimation system. Valuable conclusions on the sensitivity and the spatial resolution of the imaging system could be made. We found that the sensitivity was dependent on the angle of incidence and on the distance to the detector. The spatial resolution was constant in a plane at a fixed distance to the detector. These results were confirmed by the appropriate Monte Carlo simulations. The presented formulation of the geometric response function will be useful with iterative reconstruction algorithms.