An Analytical Solution to Single Scattering in Homogeneous Participating Media
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Date
2009
Authors
Journal Title
Journal ISSN
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Publisher
The Eurographics Association and Blackwell Publishing Ltd
Abstract
Despite their numerous applications, efficiently rendering participating media remains a challenging task due to the intricacy of the radiative transport equation. As they provide a generic means of solving a wide variety of problems, numerical methods are most often used to solve the air-light integral even under simplifying assumptions. In this paper, we present a novel analytical approach to single scattering from isotropic point light sources in homogeneous media. We derive the first closed-form solution to the air-light integral in isotropic media and extend this formulation to anisotropic phase functions. The technique relies neither on pre-computation nor on storage, and we provide a practical implementation allowing for an explicit control on the accuracy of the solutions. Finally, we demonstrate its quantitative and qualitative benefits over both previous numerical and analytical approaches.
Description
@article{10.1111:j.1467-8659.2009.01372.x,
journal = {Computer Graphics Forum},
title = {{An Analytical Solution to Single Scattering in Homogeneous Participating Media}},
author = {Pegoraro, Vincent and Parker, Steven G.},
year = {2009},
publisher = {The Eurographics Association and Blackwell Publishing Ltd},
ISSN = {1467-8659},
DOI = {10.1111/j.1467-8659.2009.01372.x}
}