In order to enlarge a low resolution image clearly, an improved Papoulis-Gerchberg super-resolution method was proposed to solve the space complexity and the edge blurring phenomenon of reconstruction results. More specifically, the proposed algorithm uses edge detection operator, and canny detection is also joined in every Papoulis-Gerchberg iterative process, while reconstruction error is projected to next iterative process, such that the space complexity can be reduced and the lost high-frequency edge information can be recovered effectively. MATLAB experimental results show that the PSNR and the gray standard deviation improve 0.5 dB and 2.5, respectively, with comparison to the conventional Papoulis-Gerchberg method. Furthermore, the proposed algorithm can reconstruct multi-frame Low-Resolution images of same scene more accurately and the visual quality of the reconstruction image is clearer that the conventional one, and the proposed algorithm can also eliminate edge shadow and obtain a clear high-resolution image.