Abstract: A graphics processing system has the capability of generating a map of an image in terms of the individual picture elements or pixels from data defining the boundaries of component areas of the image. The disclosed generating system comprises a plurality of paired storage locations, called a convex area table, with each pair of locations being associated with a line of individual picture elements on the image. Processing logic computes display line and displacement values for a component area of the pair of storage locations for the corresponding display line. The stored displacement values can then be used for generating the full pixel map of the image.