Ray-bound tracing for perfect and efficient anti-aliasing

A complete detection of whether aliasing occurs in a given pixel is possible by using the concept of bounded rays and raybound tracing. A coherent set of rays can be bounded by bounding both their origins (by a sphere) and directions (by a circle on a unit sphere). By tracing bounds of rays in a pixel, along the direction of reflection, refraction or to light sources, it is possible to obtain an upper bound on the degree of aliasing in the pixel. Ray bound tracing is possible against various shapes and with various shading algorithms.