This invention is a method applicable to an image processing device, which includes the steps of providing a preprocess module for extracting a high-frequency portion of an image inputted into the device, extracting a gradient of the image and decomposing the image into plane and edge regions according to a predetermined fixed threshold, and providing a composite up-scaling module for executing the magnification processes on the image and the high-frequency portion thereof respectively, wherein the magnification process of plane regions of the image and the high-frequency portion is based on a simple interpolation while the edge regions of the image and the high-frequency portion is based on both a smart interpolation and the simple interpolation. The magnification results of the image and the high-frequency portion are then processed by a fusion process, so as to output an image having sharp but not blocky edges, rich details and strong contrast.