Dynamic computed tomography (CT) is usually employed to image motion objects, such as beating heart, coronary artery and cerebral perfusion, etc. Recently, to further improve the temporal resolution for aperiodic industrial process imaging, the swinging multi-source CT (SMCT) systems and the corresponding swinging multi-source prior image constrained compressed sensing (SM-PICCS) method were developed. Since the SM-PICCS uses the L 1 -norm of image gradient, the edge structures in the reconstructed images are blurred and motion artifacts are still present. Inspired by the advantages in terms of image edge preservation and fine structure recovering, the L 0 -norm of image gradient is incorporated into the prior image constrained compressed sensing, leading to an L 0 -PICCS algorithm. The experimental results confirm that the L 0 -PICCS outperforms the SM-PICCS in both visual inspection and quantitative analysis.2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement Recently, a swinging multi-source CT (SMCT) scheme was proposed for aperiodic dynamic imaging. This system consists of Q ( Q is an odd integer) X-ray source/detector pairs, and they are distributed uniformly along a circumference. Different from other multi-source CT systems in medical applications [1,7-9], the SMCT system adopts the bearing technique rather than the complicated slip ring. The bearing has advantages in terms of concise and precise structure, easy manufacture and low price, and it is suitable for large-scale serial