1. A method of rendering objects, the method comprising, for each said object within a scanline, the steps of: determining each boundary pixel that overlaps both sides of a border of the object; computing a real opacity of each said boundary pixel, wherein said real opacity of a said boundary pixel is dependent upon an intrinsic opacity of the object, winding counts for subregions of said boundary pixel, and values representative of the areas of the respective subregions with respect to the total area of the boundary pixel; and rendering each said boundary pixel with said computed real opacity.