Monte Carlo Methods for Volumetric Light Transport Simulation

Jan Novák, Iliyan Georgiev, Johannes Hanika, Wojciech Jarosz
EUROGRAPHICS 2018 (state-of-the-art report)

Losses and gains of radiance along a ray due to absorption (a), scattering (b, c), and emission (d) within a differential cylindrical volume element.


The wide adoption of path-tracing algorithms in high-end realistic rendering has stimulated many diverse research initiatives. In this paper we present a coherent survey of methods that utilize Monte Carlo integration for estimating light transport in scenes containing participating media. Our work complements the volume-rendering state-of-the-art report by Cerezo et al. [2005]; we review publications accumulated since its publication over a decade ago, and include earlier methods that are key for building light transport paths in a stochastic manner. We begin by describing analog and non-analog procedures for free-path sampling and discuss various expected-value, collision, and track-length estimators for computing transmittance. We then review the various rendering algorithms that employ these as building blocks for path sampling. Special attention is devoted to null-collision methods that utilize fictitious matter to handle spatially varying densities; we import two “next-flight” estimators originally developed in nuclear sciences. Whenever possible, we draw connections between image-synthesis techniques and methods from particle physics and neutron transport to provide the reader with a broader context.

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BibTeX reference

    author = {No\'ak, Jan and Georgiev, Iliyan and Hanika, Johannes and Jarosz, Wojciech},
    title = {Monte Carlo Methods for Volumetric Light Transport Simulation},
    journal = {Computer Graphics Forum (Proceedings of Eurographics - State of the Art Reports)},
    volume = {37},
    number = {2},
    month = {May},
    year = {2018}