Rendering Cubic Curves on a GPU with Floater's Implicitization

摘要

Graphics processing units (GPUs) provide a great deal of processing capability for rendering 3D scenes that can also be applied to rendering 2D scenes. Loop and Blinn introduced a method for utilizing GPUs to render 2D vector art by representing cubic curves implicitly. I present an alternative method that starts with Floater's implicitization of a cubic curve, rather than Loop and Blinn's. With modest additional GPU support, my method has a more compact representation than that of Loop and Blinn. This support would enable a more compact representation of exclusively quadratic curves.