Scenes containing sharp changes in colour intensity can exhibit serious defects when represented by discrete samples such dots on the screen. The error of this sampling process was originally called aliasing in Signal Processing Theory and this terminology has also been used in Computer Graphics.
Fabris and Forrest developed a pre-filtering antialiasing technique for two dimensional continuous curves which not only avoids the geometric and numerical problems found in previous techniques but also permits the use of a generic class of filters which aloud the rendering to be tuned to specific output devices. Rather than scan convert primitives as usual, Fabris and Forrest use the Point Containment Paradigm for rendering.
We are currently working on the many possible extensions of this technique.