Surface Reflection: Physical and Geometrical Perspectives
IEEE Transactions on Pattern Analysis and Machine Intelligence
A comprehensive physical model for light reflection
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Measuring and modeling anisotropic reflection
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Generalization of Lambert's reflectance model
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
Reflectance and texture of real-world surfaces
ACM Transactions on Graphics (TOG)
A microfacet-based BRDF generator
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
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
Lambertian Reflectance and Linear Subspaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
A reflectance model for computer graphics
SIGGRAPH '81 Proceedings of the 8th annual conference on Computer graphics and interactive techniques
A data-driven reflectance model
ACM SIGGRAPH 2003 Papers
Appearance Sampling for Obtaining A Set of Basis Images for Variable Illumination
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Efficient BRDF importance sampling using a factored representation
ACM SIGGRAPH 2004 Papers
Multiple View Geometry and the L_"-norm
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Quasiconvex Optimization for Robust Geometric Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Practical Global Optimization for Multiview Geometry
International Journal of Computer Vision
Global Optimization through Rotation Space Search
International Journal of Computer Vision
Physically Based Rendering, Second Edition: From Theory To Implementation
Physically Based Rendering, Second Edition: From Theory To Implementation
Experimental analysis of BRDF models
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
Accurate fitting of measured reflectances using a Shifted Gamma micro-facet distribution
Computer Graphics Forum
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We present a global minimization framework for estimating the parameters of multiple-lobe analytical BRDF model using the techniques of convex programming and branch and bound. When an analytical BRDF is used to model a natural or artificial surface, reflections can often be represented accurately with multiple non-Lambertian lobes. A BRDF model with multiple lobes can be highly nonlinear and poses a challenge in data fitting for parameter estimation. Traditional local minimization suffers from local minima and requires a large number of initial conditions and supervision for successful results especially when a model is highly complex. We consider the Cook-Torrance model with multiple specular lobes, a parametric model with the Gaussian-like Beckmann distributions for specular reflectances. Instead of optimizing the multiple parameters simultaneously, we search over all possible surface roughness values based on a branch-and-bound algorithm, and reduce the estimation problem to convex minimization with known fixed surface roughness. Our algorithm guarantees globally optimal solutions. Experiments have been carried out for isotropic surfaces to validate the presented method using the extensive high-precision measurements from the MERL BRDF database.