Measuring and modeling anisotropic reflection
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
A fast alternative to Phong's specular model
Graphics gems IV
A framework for the analysis of error in global illumination algorithms
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Non-linear approximation of reflectance functions
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
A Reflectance Model for Computer Graphics
ACM Transactions on Graphics (TOG)
An anisotropic phong BRDF model
Journal of Graphics Tools
Models of light reflection for computer synthesized pictures
SIGGRAPH '77 Proceedings of the 4th annual conference on Computer graphics and interactive techniques
Frequency space environment map rendering
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Illumination for computer-generated images.
Illumination for computer-generated images.
Analytic methods for simulated light transport
Analytic methods for simulated light transport
Inverse rendering for computer graphics
Inverse rendering for computer graphics
Interactive rendering with arbitrary BRDFs using separable approximations
EGWR'99 Proceedings of the 10th Eurographics conference on Rendering
The halfway vector disk for BRDF modeling
ACM Transactions on Graphics (TOG)
Technical Section: Linear approximation of Bidirectional Reflectance Distribution Functions
Computers and Graphics
A photometric approach for estimating normals and tangents
ACM SIGGRAPH Asia 2008 papers
Family of Energy Conserving Glossy Reflection Models
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part II
Principles of Appearance Acquisition and Representation
Foundations and Trends® in Computer Graphics and Vision
Joint Estimation of Shape and Reflectance using Multiple Images with Known Illumination Conditions
International Journal of Computer Vision
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I
BRDF models for accurate and efficient rendering of glossy surfaces
ACM Transactions on Graphics (TOG)
Interactive editing of lighting and materials using a bivariate BRDF representation
EGSR'10 Proceedings of the 21st Eurographics conference on Rendering
Experimental analysis of BRDF models
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
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A bidirectional reflectance distribution function (BRDF) is often expressed as a function of four real variables: two spherical coordinates in each of the the "incoming驴 and "outgoing驴 directions. However, many BRDFs reduce to functions of fewer variables. For example, isotropic reflection can be represented by a function of three variables. Some BRDF models can be reduced further. In this paper, we introduce new sets of coordinates which we use to reduce the dimensionality of several well-known analytic BRDFs as well as empirically measured BRDF data. The proposed coordinate systems are barycentric with respect to a triangular support with a direct physical interpretation. One coordinate set is based on the BRDF model proposed by Lafortune. Another set, based on a model of Ward, is associated with the "halfway驴 vector common in analytical BRDF formulas. Through these coordinate sets we establish lower bounds on the approximation error inherent in the models on which they are based. We present a third set of coordinates, not based on any analytical model, that performs well in approximating measured data. Finally, our proposed variables suggest novel ways of constructing and visualizing BRDFs.