Abstract:

A rigorous mathematical review of ray tracing is presented. The concept of fexible voxel formats as a means of a generic input to a graphics pipeline, along with a generic decoder is introduced. The blending equation is formalized in terms of function integrals. The issues pertaining to interpolation/classification order are defied and resolved. Opacity weighted color interpolation and its implications in lighting and compositing is discussed. In particular, the multi-resolution (along the ray) correction of the opacity-weighted color is derived. In addition, filtering of a supersampled image plane is shown to be expressible in terms of accumulation along a ray of auxiliary tensor fields. Furthermore, the correct continuum limit of the discrete opacity accumulation formula is presented.