A method of operating a radiographic inspection system is designed for a radiographic inspection system in which a conveyor chain with identical modular chain segments transports the articles being inspected. The method encompasses a calibration mode and an inspection mode of the radiographic inspection system. In the calibration mode, calibration data characterizing the radiographic inspection system with the empty conveyor chain are generated and stored as a template image. In the inspection mode, raw images (50) of the articles (3) under inspection with the background (41) of the conveyor chain are acquired and arithmetically merged with the template image. The method results in a clear output image (51) of the articles under inspection being obtained without the interfering background of the conveyor chain.