Abstract: A method for rendering a trimmed ribbon image with a string. The user first inputs the string to be attached to the trimmed ribbon. Then a ribbon route of the trimmed ribbon is generated by a wrap function. Next, the ribbon route of the trimmed ribbon is cut into a plurality of sub-paths by several cutting points. The cutting points are determined by their slope values of tangent lines. The sub-paths and the attached string are applied by desired effect or shading functions to generate a plurality of segments of the trimmed ribbon, respectively. Finally, the segments are combined to produce the complete trimmed ribbon image.

Abstract: A method for effectively and conveniently processing images includes the steps of: providing an original image having a first set of coordinate points, wherein the points respectively have digital data; defining the original image as a connection of edges approximating the original image, wherein endpoints of the edges are a second set of coordinate points; performing a first operation on the first and second sets of coordinate points to obtain a relation map function corresponding to the first set of coordinate points; performing a second operation on the digital data of the first set of coordinate points associated with the relation map function to process the original image.