Path tracing is too expensive, radiosity seems like the right way.

Questions to step forward:

  • Is there a way to transform geometry representation into a different form, so that light hits the geometry in a more computational efficient way to get the energy on that surface?
    • Transform the surface to a different space
    • Get the energy to that surface

Next:

  • Do a thorough evaluation of global illumination
  • Understand radiosity
  • Understand geometry representation
    • Check “Geometric Algebra for Computer Science” to find a transformed geometric representation in a different space than in 3D space, so that the energy (light) received by the geometry stays invariant or commutative in both spaces, yet is more computational efficient in the “different space”. if such a transformed geometric representation can be found, computer graphics would not need the expensive path-tracer for global illumination