Efficient polygonal shape filtering can be achieved with Green’s theorem and piecewise-polynomial filters like box, bilinear, and bicubic. By breaking and evaluating polygons into smaller sections, we can compute exact coverage for anti-aliasing, revealing illustrative insights into polygonal analysis on the GPU. Super-sampling can improve sharp results but may lead to over-coverage in certain cases. The geometric calculations rely on precise integral computations, offering a fresh perspective on web graphics rendering. This mathematical approach may challenge conventional methods, providing a unique approach to filter integrals and anti-aliasing in polygonal graphics.
https://jonathanolson.net/exact-polygonal-filtering