This disclosure describes techniques for removing vertex points during two-dimensional (2D) graphics rendering using three-dimensional (3D) graphics hardware. In accordance with the described techniques one or more vertex points may be removed during 2D graphics rendering using 3D graphics hardware. For example, the techniques may remove redundant vertex points in the display coordinate space by discarding vertex points that have the substantially same positional coordinates in the display coordinate space as a previous vertex point. Alternatively or additionally, the techniques may remove excess vertex points that lie in a straight line. Removing the redundant vertex points or vertex points that lie in a straight line allow for more efficient utilization of the hardware resources of the GPU and increase the speed at which the GPU renders the image for display.