The zonal method for calculating light intensities in the presence of a participating medium
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Acquiring the reflectance field of a human face
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
A signal-processing framework for inverse rendering
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A practical model for subsurface light transport
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A practical model for subsurface light transport
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Realistic image synthesis using photon mapping
Realistic image synthesis using photon mapping
DISCO: acquisition of translucent objects
ACM SIGGRAPH 2004 Papers
Acquisition of time-varying participating media
ACM SIGGRAPH 2005 Papers
Light diffusion in multi-layered translucent materials
ACM SIGGRAPH 2005 Papers
Modeling and rendering of quasi-homogeneous materials
ACM SIGGRAPH 2005 Papers
Low-Level Image Cues in the Perception of Translucent Materials
ACM Transactions on Applied Perception (TAP)
Inverse shade trees for non-parametric material representation and editing
ACM SIGGRAPH 2006 Papers
A compact factored representation of heterogeneous subsurface scattering
ACM SIGGRAPH 2006 Papers
Fast separation of direct and global components of a scene using high frequency illumination
ACM SIGGRAPH 2006 Papers
Acquiring scattering properties of participating media by dilution
ACM SIGGRAPH 2006 Papers
Advanced Global Illumination
Density estimation for dynamic volumes
Computers and Graphics
Computing the scattering properties of participating media using Lorenz-Mie theory
ACM SIGGRAPH 2007 papers
Modeling and rendering of heterogeneous translucent materials using the diffusion equation
ACM Transactions on Graphics (TOG)
Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems (Classics in Applied Mathematics Classics in Applied Mathemat)
A precomputed polynomial representation for interactive BRDF editing with global illumination
ACM Transactions on Graphics (TOG)
Efficient projections onto the l1-ball for learning in high dimensions
Proceedings of the 25th international conference on Machine learning
A layered, heterogeneous reflectance model for acquiring and rendering human skin
ACM SIGGRAPH Asia 2008 papers
Compressive Structured Light for Recovering Inhomogeneous Participating Media
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part IV
Optical computing for fast light transport analysis
ACM SIGGRAPH Asia 2010 papers
CVPR '11 Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition
Structured light 3D scanning in the presence of global illumination
CVPR '11 Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition
Decomposing global light transport using time of flight imaging
CVPR '12 Proceedings of the 2012 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
Understanding the role of phase function in translucent appearance
ACM Transactions on Graphics (TOG)
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Translucent materials are ubiquitous, and simulating their appearance requires accurate physical parameters. However, physically-accurate parameters for scattering materials are difficult to acquire. We introduce an optimization framework for measuring bulk scattering properties of homogeneous materials (phase function, scattering coefficient, and absorption coefficient) that is more accurate, and more applicable to a broad range of materials. The optimization combines stochastic gradient descent with Monte Carlo rendering and a material dictionary to invert the radiative transfer equation. It offers several advantages: (1) it does not require isolating single-scattering events; (2) it allows measuring solids and liquids that are hard to dilute; (3) it returns parameters in physically-meaningful units; and (4) it does not restrict the shape of the phase function using Henyey-Greenstein or any other low-parameter model. We evaluate our approach by creating an acquisition setup that collects images of a material slab under narrow-beam RGB illumination. We validate results by measuring prescribed nano-dispersions and showing that recovered parameters match those predicted by Lorenz-Mie theory. We also provide a table of RGB scattering parameters for some common liquids and solids, which are validated by simulating color images in novel geometric configurations that match the corresponding photographs with less than 5% error.