A system, apparatus, and method are disclosed for modifying positions of sample positions for selectably oversampling pixels to anti-alias non-geometric portions of computer-generated images, such as texture, at least in part, by translating (e.g., shifting) shading sample positions relative to a frame of reference in which there is no relative motion between the geometries and the coverage sample positions. In one embodiment, an exemplary method determines whether a coverage sample position is covered by a geometric primitive. The method includes translating a shading sample position from an original shading sample position to the coverage sample position. This generally occurs if the geometry covers the coverage sample position to form a covered coverage sample position. Further, the method samples a shading value at the covered coverage sample positions for the pixel portion to anti-alias, for example, texture to reduce level of detail ("LOD") artifacts.