PURPOSE. Low dose computed tomography (LDCT) can decrease the radiation dose effectively by taking fewer projections during. MATERIALS AND METHODS. computed tomography (CT) scanning. However, traditional filtered back-projection (FBP) reconstruction algorithm cannot reconstruct images for half-scan LDCT as well as reconstruct full-scan CT, therefore, we apply iterative reconstruction (IR) algorithm instead of FBP. Compared with FBP, IR can have better performance. IR also can handle the problems that LDCT needs to resolve, missing data and improve noise characteristics. In this study, we developed an IR algorithm to reconstruct simulated projections, and we also apply the model-based algorithm, so that the reconstructed image of the data set that has only 220 projections could be better. RESULTS. The results of the reconstruction confirm our expectation, images reconstructed with model-based iterative reconstruction (MBIR) algorithm also have higher signal-to-noise ratio (SNR) (33.9) than that of FBP algorithm (14.5), and the structure of the scanned objects is validated. Our MBIR algorithm could compensate the incomplete projection data from short-scan. CONCLUSION. At the present stage, we can improve the accuracy of geometry deviation to be within 6% and spatial resolution to reach 6 lp/cm compared with classic IR algorithm (geometry deviation: 2%, spatial resolution: 4 lp/cm).