“A hierarchical illumination algorithm for surfaces with glossy reflection” by Aupperle and Hanrahan

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Title:

    A hierarchical illumination algorithm for surfaces with glossy reflection

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Abstract:


    We develop a radiance formulation for discrete three point transport,
    and a new measure and description of reflectance:area reflectance.
    This formulation and associated reflectance allow an estimate of error in the computation of radiance across triples of surface elements,
    and lead directly to a hierarchical refinement algorithm for global
    illumination.
    We have implemented and analyzed this algorithm over surfaces
    exhibiting glossy specular and diffuse reflection. Theoretical growth
    in light transport computation is shown to beO(n+k
    3
    ) for sufficient
    refinement, where n is the number of elements at the finest level
    of subdivision over an environment consisting ofk input polygonal
    patches — this growth is exhibited in experimental trials. Naive
    application of three point transport would require computation over
    O(n3
    ) element-triple interactions

References:


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    2. Aupperle, L. (1993) Hierarchical algorithms for illumination. Doctoral Dissertation, Princeton University.
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