Extended Path Integral Formulation for Volumetric Transport
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Date
2017Author
Hachisuka, Toshiya
Georgiev, Iliyan
Jarosz, Wojciech
Křivánek, Jaroslav
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We propose an extension of the path integral formulation amenable to the expression of volumetric light transport with photon beam estimates. Our main contribution is a generalization of Hachisuka et al.'s extended path space formulation [HPJ12] to light transport in participating media. Our formulation supports various point- and beam-based volumetric density estimators, unifying them with path integration in the spirit of the work by Kˇrivánek et al. [KGH 14]. One unique and useful property of our formulation is that it recasts beam-based density estimation as Monte Carlo path vertex sampling in a higher-dimensional space, rather than beam merging in a lower-dimensional space, which enables a practical algorithm for beam estimators with 3D-blur kernels. We thus establish a complementary theoretical foundation for the development of rendering algorithms using points, beams, and paths in participating media.
BibTeX
@inproceedings {10.2312:sre.20171195,
booktitle = {Eurographics Symposium on Rendering - Experimental Ideas & Implementations},
editor = {Matthias Zwicker and Pedro Sander},
title = {{Extended Path Integral Formulation for Volumetric Transport}},
author = {Hachisuka, Toshiya and Georgiev, Iliyan and Jarosz, Wojciech and Křivánek, Jaroslav and Nowrouzezahrai, Derek},
year = {2017},
publisher = {The Eurographics Association},
ISSN = {1727-3463},
ISBN = {978-3-03868-045-1},
DOI = {10.2312/sre.20171195}
}
booktitle = {Eurographics Symposium on Rendering - Experimental Ideas & Implementations},
editor = {Matthias Zwicker and Pedro Sander},
title = {{Extended Path Integral Formulation for Volumetric Transport}},
author = {Hachisuka, Toshiya and Georgiev, Iliyan and Jarosz, Wojciech and Křivánek, Jaroslav and Nowrouzezahrai, Derek},
year = {2017},
publisher = {The Eurographics Association},
ISSN = {1727-3463},
ISBN = {978-3-03868-045-1},
DOI = {10.2312/sre.20171195}
}