It is necessary for getting the enlarged digital images to predict unknown high frequency components which are lost by sampling. We have proposed the image enlarging method based on the Laplacian pyramid representation which can predict the unknown high frequency components. We call this method the LP enlarging method. Since the JPEG coded image is compression image, thus, the image is blurred. Furthermore, the JPEG coded image, especially at low bit rate, exhibit visually annoying blocking effects. Thus, the LP enlarging method isn’t able to be applied to the JPEG coded image. In this paper, we modify the LP enlarging method in order to apply the JPEG coded image. The novel method introduce Epsilon-filters into the LP enlarging method, so as to reduce the blocking effects. Moreover, we tune the parameters of the LP enlarging method and the Epsilon-filters for the JPEG coded image. We clear the effectiveness of the proposed method through a lot of experimental results.