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Efficient rendering of layered materials using an atomic decomposition with statistical operators

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Laurent BelcourAuthors Info & Claims

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

Article No.: 73, Pages 1 - 15

https://doi.org/10.1145/3197517.3201289

Published: 30 July 2018 Publication History

Abstract

We derive a novel framework for the efficient analysis and computation of light transport within layered materials. Our derivation consists in two steps. First, we decompose light transport into a set of atomic operators that act on its directional statistics. Specifically, our operators consist of reflection, refraction, scattering, and absorption, whose combinations are sufficient to describe the statistics of light scattering multiple times within layered structures. We show that the first three directional moments (energy, mean and variance) already provide an accurate summary. Second, we extend the adding-doubling method to support arbitrary combinations of such operators efficiently. During shading, we map the directional moments to BSDF lobes. We validate that the resulting BSDF closely matches the ground truth in a lightweight and efficient form. Unlike previous methods we support an arbitrary number of textured layers, and demonstrate a practical and accurate rendering of layered materials with both an offline and real-time implementation that are free from per-material precomputation.

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References

[1]

Laurent Belcour, Kavita Bala, and Cyril Soler. 2014. A local frequency analysis of light scattering and absorption. ACM Transactions on Graphics 33, 5 (2014), 163.

Digital Library

[2]

Laurent Belcour and Pascal Barla. 2017. A Practical Extension to Microfacet Theory for the Modeling of Varying Iridescence. ACM Transactions on Graphics 36, 4 (July 2017), 65.

Digital Library

[3]

Brent Burley. 2012. Physically-based shading at disney. In Physically Based Shading in Theory and Practice - SIGGRAPH Courses, Vol. 2012. 1--7.

[4]

Qiang Dai, Jiaping Wang, Yiming Liu, John Snyder, Enhua Wu, and Baining Guo. 2009. The Dual-microfacet Model for Capturing Thin Transparent Slabs. In Computer Graphics Forum, Vol. 28. Wiley Online Library, 1917--1925.

[5]

Charles De Rousiers, Adrien Bousseau, Kartic Subr, Nicolas Holzschuch, and Ravi Ramamoorthi. 2011. Real-time rough refraction. In Symposium on Interactive 3D Graphics and Games. ACM, 1--7.

Digital Library

[6]

Craig Donner and Henrik Wann Jensen. 2005. Light diffusion in multi-layered translucent materials. ACM Transactions on Graphics 24, 3 (2005), 1032--1039.

Digital Library

[7]

Julie Dorsey and Pat Hanrahan. 1996. Modeling and Rendering of Metallic Patinas. In SIGGRAPH '96. ACM, 387--396.

Digital Library

[8]

Michal Drobot. 2017. Practical Multilayered Materials in Call of Duty: Infinite Warfare. In Physically Based Shading Theory Practice - SIGGRAPH Courses.

[9]

Frédo Durand, Nicolas Holzschuch, Cyril Soler, Eric Chan, and François X. Sillion. 2005. A frequency analysis of light transport. In ACM SIGGRAPH, Vol. 24. 1115.

Digital Library

[10]

Oskar Elek. 2010. Layered Materials in Real-Time Rendering. In 14th Central European Seminar on Computer Graphics. 27.

[11]

Sergey Ershov, Konstantin Kolchin, and Karol Myszkowski. 2001. Rendering Pearlescent Appearance Based On Paint-Composition Modelling. Computer Graphics Forum 20, 3 (sep 2001), 227--238.

[12]

Ian Grant and G Hunt. 1969. Discrete space theory of radiative transfer. I. Fundamentals. In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, Vol. 313. The Royal Society, 183--197.

[13]

Jie Guo, Qian Jinghui, Guo Yanwen, and Pan Jingui. 2016. Rendering Thin Transparent Layers with Extended Normal Distribution Functions. IEEE Transactions on Visualization and Computer Graphics PP, 99 (2016), 1--1.

[14]

Eric Heitz and Eugene d'Eon. 2014. Importance Sampling Microfacet-Based BSDFs using the Distribution of Visible Normals. In Computer Graphics Forum, Vol. 33. Wiley Online Library, 103--112.

[15]

Eric Heitz, Johannes Hanika, Eugene d'Eon, and Carsten Dachsbacher. 2016. Multiple-scattering microfacet BSDFs with the Smith model. ACM Transactions on Graphics 35, 4 (2016), 58.

Digital Library

[16]

Christophe Hery, Ryusuke Villemin, and Junyi Ling. 2017. Pixar's Foundation for Materials. In Physically Based Shading in Theory and Practice - SIGGRAPH Courses.

Digital Library

[17]

Wenzel Jakob, Eugene D'Eon, Otto Jakob, and Steve Marschner. 2014. A comprehensive framework for rendering layered materials. ACM Transactions on Graphics 33, 4 (jul 2014), 1--14.

Digital Library

[18]

Henrik Wann Jensen, Justin Legakis, and Julie Dorsey. 1999. Rendering of wet materials. In Rendering Techniques' 99. Springer, 273--281.

Digital Library

[19]

Brian Karis. 2013. Real Shading in Unreal Engine 4. In Physically Based Shading in Theory and Practice - SIGGRAPH Courses.

[20]

Christopher Kulla and Alejandro Conty. 2017. Revisiting Physically Based Shading at Imageworks. In SIGGRAPH Course, Physically Based Shading.

[21]

Sebastien Lagarde and Charles De Rousiers. 2014. Moving Frostbite to PBR. In Physically Based Shading Theory Practice - SIGGRAPH Courses.

[22]

Anders Langlands. 2014. Physically Based Shader Design in Arnold. In Physically Based Shading in Theory and Practice - SIGGRAPH Courses.

[23]

Joakim Löw, Joel Kronander, Anders Ynnerman, and Jonas Unger. 2012. BRDF models for accurate and efficient rendering of glossy surfaces. ACM Transactions on Graphics 31, 1 (jan 2012), 1--14.

Digital Library

[24]

Matt Pharr and Greg Humphreys. 2010. Physically Based Rendering, Second Edition: From Theory To Implementation (2nd ed.). Morgan Kaufmann Publishers Inc.

Digital Library

[25]

Mickael Ribardière, Benjamin Bringier, Daniel Meneveaux, and Lionel Simonot. 2017. STD: Student's t-Distribution of Slopes for Microfacet Based BSDFs. In Computer Graphics Forum, Vol. 36. Wiley Online Library, 421--429.

Digital Library

[26]

K. F. Riley, M. P. Hobson, and S. J. Bence. 2010. Mathematical methods in physics and engineering (3rd ed.). Cambridge University Press.

[27]

Jos Stam. 2001. An illumination model for a skin layer bounded by rough surfaces. In Rendering Techniques 2001. Springer, 39--52.

Digital Library

[28]

H. C. van de Hulst. 1980. Multiple Light Scattering. Vol. 1. Academic Press, New York.

[29]

Eric Veach. 1998. Robust monte carlo methods for light transport simulation. Stanford University Stanford.

Digital Library

[30]

Bruce Walter, Stephen Marschner, Hongsong Li, and Kenneth Torrance. 2007. Microfacet Models for Refraction through Rough Surfaces. Rendering Techniques (2007), 195-- 206.

Digital Library

[31]

Andrea Weidlich and Alexander Wilkie. 2007. Arbitrarily Layered Micro-facet Surfaces. In ACM GRAPHITE. 171--178.

Digital Library

Cited By

Ershov SVoloboy APozdnyakov SGalaktionov V(2024)Extraction of Optical Characteristics of Diffuse Particles for Modelling a Dispersed MediumLight & Engineering10.33383/2023-082(86-98)Online publication date: Apr-2024
https://doi.org/10.33383/2023-082
Xu KCavalier ABringier BRibardière MMeneveaux D(2024)Virtually measuring layered material appearanceJournal of the Optical Society of America A10.1364/JOSAA.51460441:5(959)Online publication date: 25-Apr-2024
https://doi.org/10.1364/JOSAA.514604
Mullia KLuan FSun XHašan M(2024)RNA: Relightable Neural AssetsACM Transactions on Graphics10.1145/369586644:1(1-19)Online publication date: 12-Sep-2024
https://dl.acm.org/doi/10.1145/3695866
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Index Terms

Efficient rendering of layered materials using an atomic decomposition with statistical operators
1. Computing methodologies
  1. Computer graphics
    1. Rendering
      1. Reflectance modeling

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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

Issue’s Table of Contents

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

Ershov SVoloboy APozdnyakov SGalaktionov V(2024)Extraction of Optical Characteristics of Diffuse Particles for Modelling a Dispersed MediumLight & Engineering10.33383/2023-082(86-98)Online publication date: Apr-2024
https://doi.org/10.33383/2023-082
Xu KCavalier ABringier BRibardière MMeneveaux D(2024)Virtually measuring layered material appearanceJournal of the Optical Society of America A10.1364/JOSAA.51460441:5(959)Online publication date: 25-Apr-2024
https://doi.org/10.1364/JOSAA.514604
Mullia KLuan FSun XHašan M(2024)RNA: Relightable Neural AssetsACM Transactions on Graphics10.1145/369586644:1(1-19)Online publication date: 12-Sep-2024
https://dl.acm.org/doi/10.1145/3695866
Yi SKim DNa JTong XKim M(2024)Spin-Weighted Spherical Harmonics for Polarized Light TransportACM Transactions on Graphics10.1145/365813943:4(1-24)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658139
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
Zhang ZHuang HLi Y(2024)A Real Time Simulation Method for Near-Surface Remote Sensing Experiments Based on Dynamic Virtual ScenesIGARSS 2024 - 2024 IEEE International Geoscience and Remote Sensing Symposium10.1109/IGARSS53475.2024.10642531(7198-7201)Online publication date: 7-Jul-2024
https://doi.org/10.1109/IGARSS53475.2024.10642531
Guo JLi ZHe XWang BLi WGuo YYan L(2023)MetaLayer: A Meta-Learned BSDF Model for Layered MaterialsACM Transactions on Graphics10.1145/361836542:6(1-15)Online publication date: 5-Dec-2023
https://dl.acm.org/doi/10.1145/3618365
d'Eon EBitterli BWeidlich AZeltner T(2023)Microfacet Theory for Non-Uniform HeightfieldsACM SIGGRAPH 2023 Conference Proceedings10.1145/3588432.3591486(1-10)Online publication date: 23-Jul-2023
https://dl.acm.org/doi/10.1145/3588432.3591486
MİR SYILDIRIM BKURT M(2022)Çok Katmanlı Malzemelerde Açısal Renk Değişimleri ve Işıltı Etkilerinin AnaliziDeu Muhendislik Fakultesi Fen ve Muhendislik10.21205/deufmd.202224720524:72(737-746)Online publication date: 19-Sep-2022
https://doi.org/10.21205/deufmd.2022247205
Pozdnyakov SErshov SVoloboy A(2022)Hybrid approach to design of the composition of automotive paint to match the desired color based on neural networks and lighting simulationKeldysh Institute Preprints10.20948/prepr-2022-87(1-17)Online publication date: 2022
https://doi.org/10.20948/prepr-2022-87
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