The Fast Multipole Method for Global Illumination

Despite its wide applicability in scientific computing, the linear time fast multipole method (FMM) with provable error bounds has not been used extensively in computer graphics. This paper presents – to our knowledge – the first application of FMM to the problem of global illumination. The light transport kernel is broken into multipole and local expansions and required transformations for these expansions are provided. We also provide an adaptive octree based visibility algorithm. We have implemented our algorithm using the adaptive version of FMM and provide empirical results for the same.

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