1. A method for smooth rasterization of graphics primitives to render pixels of a display, comprising: rasterizing a graphics primitive by generating a plurality of fragments related to the graphics primitive by using a graphics processor; and determining a coverage value for each of the plurality of fragments by: if one edge of the graphics primitive lies within a predetermined distance from a pixel center, using the one edge to calculate the coverage value by using a distance to the pixel center; and if a plurality of edges of the graphics primitive lie within the predetermined distance from the pixel center, using a distance to the pixel center of each of the plurality of edges individually to calculate the coverage value.