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In this paper, we first present an arc based algorithm for fan-beam computedtomography (CT) reconstruction via applying Katsevich's helical CT formula to2D fan-beam CT reconstruction. Then, we propose a new weighting function todeal with the redundant projection data. By extending the weighted arc basedfan-beam algorithm to circle cone-beam geometry, we also obtain a newFDK-similar algorithm for circle cone-beam CT reconstruction. Experiments showthat our methods can obtain higher PSNR and SSIM compared to theParker-weighted conventional fan-beam algorithm and the FDK algorithm forsuper-short-scan trajectories.

A New Weighting Scheme for Fan-beam and Circle Cone-beam CT Reconstructions