Global illumination is about, gathering photon distribution. photon distribution is largely a result of geometry and participating media, resulting in different amount of photons in volume and surface.

Is it possible to transform global illumination to a different space, which is easy to compute photon distribution, then transform the result to the 3D domain?

Is there a math model to capture the characteristics of global illumination, which is efficient to compute? 🙂

Or, what’s the characteristics of global illumination? It’s the result of light transport in participating media and surfaces.


  • Understand light transport, from a different perspective than space-time – rather, from the perspective of universe!
  • Simplify light transport to capture essential characteristics of light transport
  • Understand geometry
  • Simplify geometry representation: is it possible to represent it in a different domain?
  • Understand participating media
  • Simplify participating media: is it possible to represent it in a different domain?


  • Grind down geometry representation to see how it looks in a different space

Light transport is observed in scientific efforts of capturing the statistics of light transport. For example, light transports in straight line is a conclusion of statistics of photon transportation. Is it possible to abstract the light transport mechanism?