Fresnel telescope (short for Fresnel telescope full-aperture synthesized imaging lidar) is a new high resolution active laser imaging technique. In one-dimensional scanning operational mode of Fresnel telescope, spatial distribution of sampling signal is non-uniform because of the relative motion between target and scanning beam, which affects the fast Fourier transform in the following matched filtering algorithm. We propose the complete imaging algorithm for Fresnel telescopy, including space-time transform, resampling interpolation and matched filtering, in which we use resampling interpolation to transform the signal into two-dimensional uniform distribution form. Three different resampling interpolation methods are analyzed, and we get good reconstruction results of point target and area target with computer simulation, which prove that the designed imaging algorithm for Fresnel telescope is effective. This work has substantial practical value and offers significant benefit for Fresnel telescopy imaging system.