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Is it possible to efficiently calculate caustics for a given 3D object, like a torus, or a cube?

To be more precise: let's assume that we have a 3d torus, resting on a 2d plane and a single light source, emitting light in all directions. Is there an "efficient" (polynomial) algorithm for computing the intensity of light at arbitrary point on the plane?

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    My guess this has to be discussed in some book about ray tracing. One approximate method is photon mapping http://en.wikipedia.org/wiki/Photon_mapping I guess that exact solution can be found only in few cases.2014-04-28

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