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In this paper, we suggest the use of a convergent rotating slat collimator in a SPECT system that contains strip-shaped CdZnTe detectors. This CdZnTe imaging device is able to provide better energy resolution than a conventional NaI(Tl) detector. A convergent imaging geometry has a higher detection sensitivity than a parallel imaging geometry when imaging a small object. A novel design method and reconstruction technique are proposed for use in this system.