The idea here is to efficiently render higher dimentional scenes. The lighting functions extend simply to higher dimentions. The simplest explanation I've seen is in the work of David C. Banks, in his SIGGRAPH 94 paper. What I want to do is see if it is possible to render some of volumentric data quickly by treating it as a two dimentional problem in 4-D dimentions. This would obviously be a subset of volumetric data, but perhaps a useful subset.

Java Classes implementing a 4-D raytracer.