This paper has been accepted with no additional changes (an updated arxiv will appear in about a day) to the Journal of Computational and Theoretical Transport (formerly TTSP). The reader in computer graphics might find this interesting if youve ever wondered: a) How are transport theory and the theory of random flights related? b) There is more than one diffusion approximation!? How, why? c) How are the various diffusion approximations (like Grosjeans modified diffusion) derived, and what are their various tradeoffs? d) How would diffusion approximations change if you considered scattering volumes with partially-correlated scattering particles like that EGSR paper with a bowl of glass Buddhas (which leads to non-exponential free path distributions)? e) How does diffusion theory change if you consider multiple scattering in spaces with number of dimensions other than 3? f) What is the spectrum of the transport operator, what are these singular eigenfunctions in Caseology, and how does this all relate to diffusion theory?
Posted on: Wed, 26 Mar 2014 00:59:19 +0000
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