ing at large field of view and high-resolution microfocus computed tomography (micro-CT), a source translation based CT (STCT) imaging method is proposed. This scanning method adopts the simultaneous iterative reconstruction algorithm based on the minimization of image total variation (SIRT-TV), which has problems such as long image reconstruction time and large amount of calculation. The ramp filter is divided and based on the properties of Fourier transform to derive a STCT analytical reconstruction algorithm (STCT-DHB) based on derivative-Hilbert transform-back projection (DHB). Simulation and practical experiment results show that the STCT-DHB algorithm can effectively suppress high-frequency noise of the image, and improve the efficiency of image reconstruction while maintaining the quality of the reconstructed image.