A new mathematical development for radiosity animation with Galerkin method

Combining animation and global illumination constitutes a real challenge in computer graphics, especially when light sources move in a complex scene because the entire illumination has to be recomputed. This paper introduces a new algorithm, based on the Galerkin method, which efficiently computes animation sequence with any moving surface -even light source. For each new frame, we take into account the continuous property of the movement to determine the necessary energy differences between the previous global illumination solution and the new one. Based on a mathematical development of the form factor, this new approach leads to an efficient and simple algorithm, similar to the classical progressive refinement algorithm, and which computes animated sequence about three times faster.