IEEE Trans Pattern Anal Mach Intell - On the Duality of Forward and Inverse Light Transport.

Tópicos

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Resumo

Inverse light transport seeks to undo global illumination effects, such as interreflections, that pervade images of most scenes. This paper presents the theoretical and computational foundations for inverse light transport as a dual of forward rendering. Mathematically, this duality is established through the existence of underlying Neumann series expansions. Physically, it can be shown that each term of our inverse series cancels an interreflection bounce, just as the forward series adds them. While the convergence properties of the forward series are well known, we show that the oscillatory convergence of the inverse series leads to more interesting conditions on material reflectance. Conceptually, the inverse problem requires the inversion of a large light transport matrix, which is impractical for realistic resolutions using standard techniques. A natural consequence of our theoretical framework is a suite of fast computational algorithms for light transport inversion-analogous to finite element radiosity, Monte Carlo and wavelet-based methods in forward rendering-that rely at most on matrix-vector multiplications. We demonstrate two practical applications, namely, separation of individual bounces of the light transport and fast projector radiometric compensation, to display images free of global illumination artifacts in real-world environments.

Resumo Limpo

invers light transport seek undo global illumin effect interreflect pervad imag scene paper present theoret comput foundat invers light transport dual forward render mathemat dualiti establish exist under neumann seri expans physic can shown term invers seri cancel interreflect bounc just forward seri add converg properti forward seri well known show oscillatori converg invers seri lead interest condit materi reflect conceptu invers problem requir invers larg light transport matrix impract realist resolut use standard techniqu natur consequ theoret framework suit fast comput algorithm light transport inversionanalog finit element radios mont carlo waveletbas method forward renderingthat reli matrixvector multipl demonstr two practic applic name separ individu bounc light transport fast projector radiometr compens display imag free global illumin artifact realworld environ

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