1. A method for rendering geometric primitives with a bounding box that is executed by a hardware graphics processor unit, comprising: utilizing the graphics processor unit generating a bounding rectangle, wherein each edge of the bounding rectangle is defined to a sub-pixel precision and is separate from the edges of pixels that it traverses and wherein the single bounding rectangle functions to bound portions of a plurality of undivided and non-overlapping polygonal primitives within a single pixel; utilizing the graphics processor unit clipping the plurality of undivided and non-overlapping polygonal primitives based on the single bounding rectangle to the sub-pixel precision within a single pixel based on edges of the bounding rectangle; and utilizing the graphics processor unit, blending the plurality of undivided and non-overlapping polygonal primitives with a background color outside the single bounding rectangle to anti-alias the plurality of polygonal primitives with the background color.