1. A computer-implemented method for displaying an image having a plurality of multi-styled shapes on a computer display, comprising: creating a plurality of monotone chains corresponding to each of the plurality of multi-styled shapes; creating, via a microprocessor, a monotone chain table populated with the plurality of monotone chains; assigning a plurality of scan beams corresponding to the plurality of monotone chains; identifying a left style and a right style corresponding to each of the plurality of monotone chains between two adjacent scan beams; computing a plurality of monotone polygons corresponding to the monotone chains, wherein each edge included in each monotone polygon is part of a monotone chain having a left style and a right style; and computing a plurality of triangles from the plurality of monotone polygons.