On the Effective Dimension of Light Transport

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dc.contributor.authorLessig, Christianen_US
dc.contributor.authorFiume, Eugeneen_US
dc.date.accessioned2015-02-23T16:58:12Z
dc.date.available2015-02-23T16:58:12Z
dc.date.issued2010en_US
dc.description.abstractLight transport is often characterized within a high-dimensional space although practitioners have long known that it commonly behaves as a much lower-dimensional phenomenon. We study the effective dimension of light transport over a neighborhood on the scene manifold and show that under plausible assumptions the dimensionality is characterized by the spectrum of the spatio-spectral concentration problem. This allows us to improve existing estimates for the dimension in computer graphics using a more insightful derivation and for the first time we obtain optimal representations. The relevance of our results for existing rendering applications is discussed.en_US
dc.description.number4en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume29en_US
dc.identifier.doi10.1111/j.1467-8659.2010.01736.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages1399-1403en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2010.01736.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleOn the Effective Dimension of Light Transporten_US
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29-Issue 4
EGSR10: 21th Eurographics Symposium on Rendering