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Radiosity is an application of the finite element method to solving the rendering equation for scenes with purely diffuse surfaces.
Unlike Monte Carlo algorithms ( such as path tracing ) which handle all types of light paths, typical radiosity methods only account for paths which leave a light source and are reflected diffusely some number of times ( possibly zero ) before hitting the eye.
Radiosity calculations are viewpoint independent which increases the computations involved, but makes them useful for all viewpoints.
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