Taking images on a digital display may cause a visually annoying optical effect, called moiré, which degrades image visual quality. Because the pixel arrangement of the display of the screen being photographed interferes with the pixel arrangement of the phone, the two arrangements are superimposed in the process of forming the color and shape irregularities of the stripes, which are moire patterns. Unlike other image restoration tasks, the difficulty in removing moire patterns is that moire patterns appear in a wide range of frequencies with irregular shapes and rainbow-like colors. Thus, removing moiré patterns is a challenging task. In this thesis, we propose an Image Demoiréing Multi-scale Fusion network (DMSFN) to remove Moiré patterns and a method for data augmentation using the transfer of Moiré patterns, which can enhance the performance of demoiréing. According to the experimental results, our model performs favorably against state-of-the-art demoiréing methods on benchmark datasets.