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A radiative transfer framework for spatially-correlated materials

Authors:

Diego GutierrezAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 37, Issue 4

Article No.: 83, Pages 1 - 13

https://doi.org/10.1145/3197517.3201282

Published: 30 July 2018 Publication History

Abstract

We introduce a non-exponential radiative framework that takes into account the local spatial correlation of scattering particles in a medium. Most previous works in graphics have ignored this, assuming uncorrelated media with a uniform, random local distribution of particles. However, positive and negative correlation lead to slower- and faster-than-exponential attenuation respectively, which cannot be predicted by the Beer-Lambert law. As our results show, this has a major effect on extinction, and thus appearance. From recent advances in neutron transport, we first introduce our Extended Generalized Boltzmann Equation, and develop a general framework for light transport in correlated media. We lift the limitations of the original formulation, including an analysis of the boundary conditions, and present a model suitable for computer graphics, based on optical properties of the media and statistical distributions of scatterers. In addition, we present an analytic expression for transmittance in the case of positive correlation, and show how to incorporate it efficiently into a Monte Carlo renderer. We show results with a wide range of both positive and negative correlation, and demonstrate the differences compared to classic light transport.

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Cited By

Satilmis PBashford-Rogers T(2025)A multi-timescale image space model for dynamic cloud illuminationComputers & Graphics10.1016/j.cag.2024.104124126(104124)Online publication date: Feb-2025
https://doi.org/10.1016/j.cag.2024.104124
Lanza DPadrón‐Griffe JPranovich AMuñoz AFrisvad JJarabo A(2024)Practical Appearance Model for Foundation CosmeticsComputer Graphics Forum10.1111/cgf.1514843:4Online publication date: 24-Jul-2024
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Lanza DMasia BJarabo A(2024)Navigating the Manifold of Translucent AppearanceComputer Graphics Forum10.1111/cgf.1503543:2Online publication date: 27-Apr-2024
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Index Terms

A radiative transfer framework for spatially-correlated materials
1. Computing methodologies
  1. Computer graphics
    1. Rendering
      1. Reflectance modeling

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Published In

cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 37, Issue 4

August 2018

1670 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3197517

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Copyright © 2018 ACM.

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Publication History

Published: 30 July 2018

Published in TOG Volume 37, Issue 4

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Cited By

Satilmis PBashford-Rogers T(2025)A multi-timescale image space model for dynamic cloud illuminationComputers & Graphics10.1016/j.cag.2024.104124126(104124)Online publication date: Feb-2025
https://doi.org/10.1016/j.cag.2024.104124
Lanza DPadrón‐Griffe JPranovich AMuñoz AFrisvad JJarabo A(2024)Practical Appearance Model for Foundation CosmeticsComputer Graphics Forum10.1111/cgf.1514843:4Online publication date: 24-Jul-2024
https://doi.org/10.1111/cgf.15148
Lanza DMasia BJarabo A(2024)Navigating the Manifold of Translucent AppearanceComputer Graphics Forum10.1111/cgf.1503543:2Online publication date: 27-Apr-2024
https://doi.org/10.1111/cgf.15035
Varsa PBaranoski G(2024)Rendering the Bluish Appearance of Snow: When Light Transmission MattersIEEE Computer Graphics and Applications10.1109/MCG.2023.330751744:1(50-61)Online publication date: Jan-2024
https://doi.org/10.1109/MCG.2023.3307517
Agbo SMoraes LVasques R(2024)On the use of spherical harmonic approximations in nonclassical particle transport problemsJournal of Quantitative Spectroscopy and Radiative Transfer10.1016/j.jqsrt.2024.109048324(109048)Online publication date: Sep-2024
https://doi.org/10.1016/j.jqsrt.2024.109048
Salesin KKnobelspiesse KChowdhary JZhai PJarosz W(2024)Unifying radiative transfer models in computer graphics and remote sensing, Part I: A surveyJournal of Quantitative Spectroscopy and Radiative Transfer10.1016/j.jqsrt.2023.108847314(108847)Online publication date: Feb-2024
https://doi.org/10.1016/j.jqsrt.2023.108847
Ershov SVoloboy AGalaktionov V(2023)Simulation of Light Scattering in Automotive Paints: Role of Particle SizeMathematics10.3390/math1111242911:11(2429)Online publication date: 24-May-2023
https://doi.org/10.3390/math11112429
Bako SSen PKaplanyan A(2023)Deep Appearance PrefilteringACM Transactions on Graphics10.1145/357032742:2(1-23)Online publication date: 16-Jan-2023
https://dl.acm.org/doi/10.1145/3570327
Liang SGao YHu CZhou PHao AWang LQin H(2023)State of the Art in Efficient Translucent Material Rendering with BSSRDFComputer Graphics Forum10.1111/cgf.1499843:1Online publication date: 22-Dec-2023
https://doi.org/10.1111/cgf.14998
Aliaga CXia MXie XJarabo ABraun GHery C(2023)A Hyperspectral Space of Skin Tones for Inverse Rendering of Biophysical Skin PropertiesComputer Graphics Forum10.1111/cgf.1488742:4Online publication date: 26-Jul-2023
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