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Abstract

A new form factor analogy, that has been derived from results of integral geometry, is introduced. The new analogy is shown to be useful for stochastic evaluation of the local form of the rendering equation used in various Monte Carlo methods for calculating global illumination. It makes it possible to improve importance sampling in these methods, thereby speeding up convergence. A new class of bidirectional reflection distribution functions that directly benefits from the analogy and permits exact evaluation and calculation of correctly distributed vectors for Monte Carlo integration is presented.

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@techreport{Tobler-1998-FFA,
  title =      "A new Form Factor Analogy and its Application to Stochastic
               Global Illumination Algorithms",
  author =     "Robert F. Tobler and L\'{a}szl\'{o} Neumann and Mateu Sbert
               and Werner Purgathofer",
  year =       "1998",
  abstract =   "A new form factor analogy, that has been derived from
               results of integral geometry, is introduced.  The new
               analogy is shown to be useful for stochastic evaluation of
               the local form of the rendering equation used in various
               Monte Carlo methods for calculating global illumination.  It
               makes it possible to improve importance sampling in these
               methods, thereby speeding up convergence.  A new class of
               bidirectional reflection distribution functions that
               directly benefits from the analogy and permits exact
               evaluation and calculation of correctly distributed vectors
               for Monte Carlo integration is presented.",
  month =      jun,
  number =     "TR-186-2-98-33",
  address =    "Favoritenstrasse 9-11/E193-02, A-1040 Vienna, Austria",
  institution = "Institute of Computer Graphics and Algorithms, Vienna
               University of Technology ",
  note =       "human contact: technical-report@cg.tuwien.ac.at",
  keywords =   "Sampling, BRDF, Global Illumination",
  URL =        "https://www.cg.tuwien.ac.at/research/publications/1998/Tobler-1998-FFA/",
}