research-article

The SGGX microflake distribution

Authors:

Jonathan Dupuy,

Carsten DachsbacherAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 34, Issue 4

Article No.: 48, Pages 1 - 11

https://doi.org/10.1145/2766988

Published: 27 July 2015 Publication History

Abstract

We introduce the Symmetric GGX (SGGX) distribution to represent spatially-varying properties of anisotropic microflake participating media. Our key theoretical insight is to represent a microflake distribution by the projected area of the microflakes. We use the projected area to parameterize the shape of an ellipsoid, from which we recover a distribution of normals. The representation based on the projected area allows for robust linear interpolation and prefiltering, and thanks to its geometric interpretation, we derive closed form expressions for all operations used in the microflake framework. We also incorporate microflakes with diffuse reflectance in our theoretical framework.

This allows us to model the appearance of rough diffuse materials in addition to rough specular materials. Finally, we use the idea of sampling the distribution of visible normals to design a perfect importance sampling technique for our SGGX microflake phase functions. It is analytic, deterministic, simple to implement, and one order of magnitude faster than previous work.

Supplementary Material

ZIP File (a48-heitz.zip)

Supplemental files

Download
16.67 MB

MP4 File (a48.mp4)

Download
13.90 MB

References

[1]

Bala, K. 2014. Modeling cloth at micron resolution. In Proc. SPIE, vol. 9018, 90180J--90180J--6.

[2]

Crassin, C., Neyret, F., Lefebvre, S., and Eisemann, E. 2009. Gigavoxels : Ray-guided streaming for efficient and detailed voxel rendering. In Proc. ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games, 15--22.

Digital Library

[3]

Dupuy, J., Heitz, E., Iehl, J.-C., Poulin, P., Neyret, F., and Ostromoukhov, V. 2013. Linear efficient antialiased displacement and reflectance mapping. ACM Transactions on Graphics (Proc. SIGGRAPH Asia) 32, 6, 211:1--211:11.

Digital Library

[4]

Heitz, E., and D'Eon, E. 2014. Importance sampling microfacet-based BSDFs using the distribution of visible normals. In Proc. Eurographics Symposium on Rendering, 103--112.

Digital Library

[5]

Heitz, E. 2014. Understanding the masking-shadowing function in microfacet-based BRDFs. Journal of Computer Graphics Techniques 3, 2, 32--91.

[6]

Hill, S., Mcauley, S., Dupuy, J., Gotanda, Y., Heitz, E., Hoffman, N., Lagarde, S., Langlands, A., Megibben, I., Rayani, F., and De Rousiers, C. 2014. Physically based shading in theory and practice. In ACM SIGGRAPH Courses.

Digital Library

[7]

Jakob, W., Arbree, A., Moon, J. T., Bala, K., and Marschner, S. 2010. A radiative transfer framework for rendering materials with anisotropic structure. ACM Transactions on Graphics (Proc. SIGGRAPH) 29, 4, 53:1--53:13.

Digital Library

[8]

Jakob, W., 2010. Mitsuba renderer. http://www.mitsuba-renderer.org.

[9]

Kraus, M., and Bürger, K. 2008. Interpolating and downsampling rgba volume data. In Proceedings of the Vision, Modeling, and Visualization Conference, 323--332.

[10]

Marschner, S. R., Jensen, H. W., Cammarano, M., Worley, S., and Hanrahan, P. 2003. Light scattering from human hair fibers. ACM Transactions on Graphics (Proc. SIGGRAPH) 22, 3, 780--791.

Digital Library

[11]

Neyret, F. 1995. A general and multiscale model for volumetric textures. In Graphics Interface, 83--91.

[12]

Neyret, F. 1998. Modeling animating and rendering complex scenes using volumetric textures. IEEE Transactions on Visualization and Computer Graphics 4, 1, 55--70.

Digital Library

[13]

Olano, M., and Baker, D. 2010. Lean mapping. In Proc. ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games, 181--188.

Digital Library

[14]

Pharr, M., and Humphreys, G. 2010. Physically Based Rendering: From Theory to Implementation. Morgan Kaufmann Publishers.

Digital Library

[15]

Schröder, K., Klein, R., and Zinke, A. 2011. A volumetric approach to predictive rendering of fabrics. Computer Graphics Forum (Proc. Eurographics Symposium on Rendering) 30, 4, 1277--1286.

Digital Library

[16]

Schröder, K., Zhao, S., and Zinke, A. 2012. Recent advances in physically-based appearance modeling of cloth. ACM SIGGRAPH Asia 2012: Course Notes.

Digital Library

[17]

Trowbridge, T. S., and Reitz, K. P. 1975. Average irregularity representation of a rough surface for ray reflection. Journal of the Optical Society of America 65, 5, 531--536.

[18]

Walter, B., Marschner, S. R., Li, H., and Torrance, K. E. 2007. Microfacet models for refraction through rough surfaces. In Proc. Eurographics Symposium on Rendering, 195--206.

Digital Library

[19]

Xu, K., Sun, W.-L., Dong, Z., Zhao, D.-Y., Wu, R.-D., and Hu, S.-M. 2013. Anisotropic spherical gaussians. ACM Transactions on Graphics (Proc. SIGGRAPH Asia) 32, 6, 209:1--209:11.

Digital Library

[20]

Zhao, S., Jakob, W., Marschner, S., and Bala, K. 2011. Building volumetric appearance models of fabric using micro CT imaging. ACM Transactions on Graphics (Proc. SIGGRAPH) 30, 4, 44:1--44:10.

Digital Library

[21]

Zhao, S., Jakob, W., Marschner, S., and Bala, K. 2012. Structure-aware synthesis for predictive woven fabric appearance. ACM Transactions on Graphics (Proc. SIGGRAPH) 31, 4, 75:1--75:10.

Digital Library

[22]

Zhao, S., Hašan, M., Ramamoorthi, R., and Bala, K. 2013. Modular flux transfer: Efficient rendering of high-resolution volumes with repeated structures. ACM Transactions on Graphics (Proc. SIGGRAPH) 32, 4, 131:1--131:12.

Digital Library

Cited By

Tokuyoshi YIkeda SKulkarni PHarada T(2024)Hierarchical Light Sampling with Accurate Spherical Gaussian LightingSIGGRAPH Asia 2024 Conference Papers10.1145/3680528.3687647(1-11)Online publication date: 3-Dec-2024
https://dl.acm.org/doi/10.1145/3680528.3687647
Cai YQiu JLi ZRen B(2024)NeuralTO: Neural Reconstruction and View Synthesis of Translucent ObjectsACM Transactions on Graphics10.1145/365818643:4(1-14)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658186
Seyb Dd'Eon EBitterli BJarosz W(2024)From microfacets to participating media: A unified theory of light transport with stochastic geometryACM Transactions on Graphics10.1145/365812143:4(1-17)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658121
Show More Cited By

Index Terms

The SGGX microflake distribution
1. Computing methodologies
  1. Computer graphics
    1. Rendering
      1. Ray tracing

Recommendations

The beam radiance estimate for volumetric photon mapping
SIGGRAPH '08: ACM SIGGRAPH 2008 classes

We present a new method for efficiently simulating the scattering of light within participating media. Using a theoretical reformulation of volumetric photon mapping, we develop a novel photon gathering technique for participating media. Traditional ...
A rapid hierarchical rendering technique for translucent materials

This paper introduces an efficient two-pass rendering technique for translucent materials. We decouple the computation of irradianceat the surface from the evaluation of scattering inside the material.This is done by splitting the evaluation into two ...
A rapid hierarchical rendering technique for translucent materials
SIGGRAPH '02: Proceedings of the 29th annual conference on Computer graphics and interactive techniques

This paper introduces an efficient two-pass rendering technique for translucent materials. We decouple the computation of irradianceat the surface from the evaluation of scattering inside the material.This is done by splitting the evaluation into two ...

Comments

Information & Contributors

Information

Published In

cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 34, Issue 4

August 2015

1307 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/2809654

Issue’s Table of Contents

Copyright © 2015 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 27 July 2015

Published in TOG Volume 34, Issue 4

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Author Tags

Qualifiers

Research-article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

69
Total Citations
View Citations
1,224
Total Downloads

Downloads (Last 12 months)116
Downloads (Last 6 weeks)13

Reflects downloads up to 23 Dec 2024

Other Metrics

View Author Metrics

Citations

Cited By

Tokuyoshi YIkeda SKulkarni PHarada T(2024)Hierarchical Light Sampling with Accurate Spherical Gaussian LightingSIGGRAPH Asia 2024 Conference Papers10.1145/3680528.3687647(1-11)Online publication date: 3-Dec-2024
https://dl.acm.org/doi/10.1145/3680528.3687647
Cai YQiu JLi ZRen B(2024)NeuralTO: Neural Reconstruction and View Synthesis of Translucent ObjectsACM Transactions on Graphics10.1145/365818643:4(1-14)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658186
Seyb Dd'Eon EBitterli BJarosz W(2024)From microfacets to participating media: A unified theory of light transport with stochastic geometryACM Transactions on Graphics10.1145/365812143:4(1-17)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658121
Chen XWang LWang B(2024)Real-time Neural Woven Fabric RenderingACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657496(1-10)Online publication date: 13-Jul-2024
https://dl.acm.org/doi/10.1145/3641519.3657496
Tang YLi ZHasan MYang JWang B(2024)Woven Fabric Capture with a Reflection-Transmission Photo PairACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657410(1-10)Online publication date: 13-Jul-2024
https://dl.acm.org/doi/10.1145/3641519.3657410
Li SLiu ZXiong XLiu Y(2024)Reflection modeling of rough metal surfaces using statistical theoryOptical Engineering10.1117/1.OE.63.11.11410263:11Online publication date: 1-Nov-2024
https://doi.org/10.1117/1.OE.63.11.114102
d'Eon EWeidlich A(2024)VMF Diffuse: A unified rough diffuse BRDFComputer Graphics Forum10.1111/cgf.1514943:4Online publication date: 24-Jul-2024
https://doi.org/10.1111/cgf.15149
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
Wang SAntić BGeiger ATang S(2024)IntrinsicAvatar: Physically Based Inverse Rendering of Dynamic Humans from Monocular Videos via Explicit Ray Tracing2024 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)10.1109/CVPR52733.2024.00184(1877-1888)Online publication date: 16-Jun-2024
https://doi.org/10.1109/CVPR52733.2024.00184
Nakath DWeng XShe MKöser K(2024)Visual Tomography: Physically Faithful Volumetric Models of Partially Translucent Objects2024 International Conference on 3D Vision (3DV)10.1109/3DV62453.2024.00159(1605-1615)Online publication date: 18-Mar-2024
https://doi.org/10.1109/3DV62453.2024.00159
Show More Cited By

View Options

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Full Access

Get this Article

View options

PDF

View or Download as a PDF file.

eReader

View online with eReader.

Media

Figures

Other

Tables

View Issue’s Table of Contents