US Patent 7564459 Resolution-independent curve rendering using programmable graphics hardware

A shape defined partially be a Bézier curve is rendered through a GPU-implemented technique which determines for various screen points which side of the curve the points lie on. This is done in the particular case of cubic Bézier curves for shapes defined by the Bézier control points of the curves. The type of the curve is identified through an analysis of an inflection point polynomial based on the curve. The curve is then projected to a canonical implicit form in a canonical texture space, allowing computation to be efficiently performed on a simple canonical form of the curve.