The disclosure is related to a method and a computer apparatus for processing a border of a computer figure and merging the figure into a background image. In the method, a user interface is provided for the user to operate the computer figure through a touch screen. The computer figure is configured to be merged into a background image, or a specific image object. The computer figure is processed by performing a border-treatment algorithm when it is moved and combined with the background image. In the process of border-treatment, the graphic information of the background image is taken into consideration. The computer figure is allowed to be well merged into the background image by considering the background's graphic information when the images are combined. Therefore, a visual effect of fusing the images can be achieved.