research-article

Multiple scattering from distributions of specular v-grooves

Authors:

Pat HanrahanAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 37, Issue 6

Article No.: 276, Pages 1 - 14

https://doi.org/10.1145/3272127.3275078

Published: 04 December 2018 Publication History

Abstract

Microfacet-based reflection models are the most common way to represent reflection from rough surfaces. However, a major current limitation of these models is that they only account for single scattering. Unfortunately, single scattering models do not preserve energy. In this paper, we develop a microfacet BRDF for specular v-grooves that includes multiple scattering. Our approach is based on previous work by Zipin, who showed that the number of reflections inside a specular v-groove is bounded and analytically computable. Using his insight, we present a closed form solution for the BRDF and its probability density function (PDF); we also present a method for importance sampling the BRDF. As a result, our BRDF can be easily used within a path-traced rendering system such as PBRT. The model supports any microfacet distribution function, and spatially-varying surface roughness. The images produced by the model have a pleasing appearance compared to traditional single-scattering models.

References

[1]

R. L. Cook and K. E. Torrance. 1982. A Reflectance Model for Computer Graphics. ACM Trans. Graph. 1, 1 (Jan. 1982), 7--24.

Digital Library

[2]

Eric Heitz. 2014. Understanding the Masking-Shadowing Function in Microfacet-Based BRDFs. Journal of Computer Graphics Techniques (JCGT) 3, 2 (30 June 2014), 48--107. http://jcgt.org/published/0003/02/03/

[3]

Eric Heitz, Johannes Hanika, Eugene d'Eon, and Carsten Dachsbacher. 2016. Multiple-scattering Microfacet BSDFs with the Smith Model. ACM Trans. Graph. 35, 4, Article 58 (July 2016), 14 pages.

Digital Library

[4]

Stephen Hill, Burley Brent McAuley, Martinez Adam Yoshiharu Gotanda, and Naty Hoffman Brian Smits. 2012. Physically Based Shading in Theory and Practice. In ACM SIGGRAPH 2012 Courses (SIGGRAPH '12). ACM, New York, NY, USA, Article 7, 8 pages.

[5]

Stephen Hill, Stephen McAuley, Alejandro Conty, MichałDrobot, Eric Heitz, Christophe Hery, Christopher Kulla, Jon Lanz, Junyi Ling, Nathan Walster, Feng Xie, Adam Micciulla, and Ryusuke Villemin. 2017. Physically Based Shading in Theory and Practice. In ACM SIGGRAPH 2017 Courses (SIGGRAPH '17). ACM, New York, NY, USA, Article 7, 8 pages.

Digital Library

[6]

Csaba Kelemen and Laszlo Szirmay-Kalos. 2001. A Microfacet Based Coupled Specular-Matte BRDF Model with Importance Sampling. 25 (04 2001).

[7]

Jan J. Koenderink, Andrea J. Van Doorn, Kristin J. Dana, and Shree Nayar. 1999. Bidirectional Reflection Distribution Function of Thoroughly Pitted Surfaces. Int. J. Comput. Vision 31, 2--3 (April 1999), 129--144.

Digital Library

[8]

Wojciech Matusik, Hanspeter Pfister, Matt Brand, and Leonard McMillan. 2003. A Data-Driven Reflectance Model. ACM Transactions on Graphics 22, 3 (July 2003), 759--769.

Digital Library

[9]

Stephen McAuley, Stephen Hill, Naty Hoffman, Yoshiharu Gotanda, Brian Smits, Brent Burley, and Adam Martinez. 2012. Practical Physically-based Shading in Film and Game Production. In ACM SIGGRAPH 2012 Courses (SIGGRAPH '12). ACM, New York, NY, USA, Article 10, 7 pages.

Digital Library

[10]

S. K. Nayar, K. Ikeuchi, and T. Kanade. 1991. Surface reflection: physical and geometrical perspectives. IEEE Transactions on Pattern Analysis and Machine Intelligence 13, 7 (Jul 1991), 611--634.

Digital Library

[11]

Michael Oren and Shree K. Nayar. 1994. Generalization of Lambert's Reflectance Model. In Proceedings of the 21st Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH '94). ACM, New York, NY, USA, 239--246.

Digital Library

[12]

Matt Pharr, Jakob Wenzel, and Greg Humphreys. 2016. Physically Based Rendering, Third Edition: From Theory To Implementation (3rd ed.). Morgan Kaufmann Publishers Inc., San Francisco, CA, USA.

Digital Library

[13]

Sylvia C. Pont and Jan J. Koenderink. 2002. Bidirectional reflectance distribution function of specular surfaces with hemispherical pits. J. Opt. Soc. Am. A 19, 12 (Dec 2002), 2456--2466.

[14]

E. M. Sparrow and S. H. Lin. 1962. Absorption of thermal radiation in a V-groove cavity. International Journal of Heat and Mass Transfer 5, 11 (November 1962), 1111--1115.

[15]

Jos Stam. 2001. An Illumination Model for a Skin Layer Bounded by Rough Surfaces. In Proceedings of the 12th Eurographics Conference on Rendering (EGWR'01). Eurographics Association, Aire-la-Ville, Switzerland, Switzerland, 39--52.

Digital Library

[16]

K.E. Torrance and E.M. Sparrow. 1967. Theory for Off-Specular Reflection from Roughened Surfaces. Journal of the Optical Society of America (JOSA) 57, 9 (Sept. 1967), 1105--1114. http://www.graphics.cornell.edu/~westin/pubs/TorranceSparrowJOSA1967.pdf

[17]

Eric Veach. 1997. Robust Monte Carlo Methods for Light Transport Simulation. Ph.D. Dissertation. Stanford University, Palo Alto, CA.

Digital Library

[18]

Bruce Walter, Stephen R. Marschner, Hongsong Li, and Kenneth E. Torrance. 2007. Microfacet Models for Refraction Through Rough Surfaces. In Proceedings of the 18th Eurographics Conference on Rendering Techniques (EGSR'07). Eurographics Association, Aire-la-Ville, Switzerland, Switzerland, 195--206.

Digital Library

[19]

Richard Zipin. 1966. Apparent Thermal Radiation Properties of an Isothermal V-groove with Specularly Reflecting Walls. J. Res. Nat. Bur. Standards 70C, 4 (October-December 1966), 275--280.

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Index Terms

Multiple scattering from distributions of specular v-grooves
1. Computing methodologies
  1. Computer graphics
    1. Rendering
      1. Reflectance modeling

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Information & Contributors

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Published In

cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 37, Issue 6

December 2018

1401 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3272127

Editor:
Takeo Igarashi
The University of Tokyo, Japan

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Copyright © 2018 ACM.

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Association for Computing Machinery

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Publication History

Published: 04 December 2018

Published in TOG Volume 37, Issue 6

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Cited By

Qi JMa H(2024)A Combined Model of Diffusion Model and Enhanced Residual Network for Super-Resolution Reconstruction of Turbulent FlowsMathematics10.3390/math1207102812:7(1028)Online publication date: 29-Mar-2024
https://doi.org/10.3390/math12071028
Sung SKim JShin B(2024)Material Point Method-Based Simulation Techniques for Medical ApplicationsElectronics10.3390/electronics1307134013:7(1340)Online publication date: 2-Apr-2024
https://doi.org/10.3390/electronics13071340
Jia YZhao QXiong YChen XLi X(2024)Crop Guidance Photography Algorithm for Mobile TerminalsAgriculture10.3390/agriculture1402027114:2(271)Online publication date: 7-Feb-2024
https://doi.org/10.3390/agriculture14020271
Banerjee CNguyen KFookes CGeorge K(2024)Physics-Informed Computer Vision: A Review and PerspectivesACM Computing Surveys10.1145/368903757:1(1-38)Online publication date: 20-Aug-2024
https://dl.acm.org/doi/10.1145/3689037
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Ouyang HZhu ZZheng WHao J(2024)A Flow Field Super-resolution Strategy for Direct Numerical Simulation Based on Physics-informed Convolutional Neural NetworksJournal of Physics: Conference Series10.1088/1742-6596/2694/1/0120092694:1(012009)Online publication date: 1-Jan-2024
https://doi.org/10.1088/1742-6596/2694/1/012009
Pang ZLiu KXiao HJin TLuo KFan J(2024)A deep-learning super-resolution reconstruction model of turbulent reacting flowComputers & Fluids10.1016/j.compfluid.2024.106249275(106249)Online publication date: May-2024
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Kuehn JAbadie SDelpey MRoeber V(2024)Super-resolution on unstructured coastal wave computations with graph neural networks and polynomial regressionsCoastal Engineering10.1016/j.coastaleng.2024.104619194(104619)Online publication date: Dec-2024
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Zhong QZhang ZYao XHou SFu SCao YJing L(2024)Improved forecasting via physics-guided machine learning as exemplified using “21·7” extreme rainfall event in HenanScience China Earth Sciences10.1007/s11430-022-1302-167:5(1652-1674)Online publication date: 29-Mar-2024
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Yuan YSun RXu CMa Sliu yWang YSong W(2023)Design of an image-based BRDF measurement method using a catadioptric multispectral capture and a real-time Lambert calibrationOptics Express10.1364/OE.510627Online publication date: 13-Dec-2023
https://doi.org/10.1364/OE.510627
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