SIGGRAPH '86 Proceedings of the 13th 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
Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization
ACM Transactions on Mathematical Software (TOMS)
SIGGRAPH '85 Proceedings of the 12th 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
An efficient representation for irradiance environment maps
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
All-frequency shadows using non-linear wavelet lighting approximation
ACM SIGGRAPH 2003 Papers
View-dependent precomputed light transport using nonlinear Gaussian function approximations
I3D '06 Proceedings of the 2006 symposium on Interactive 3D graphics and games
The halfway vector disk for BRDF modeling
ACM Transactions on Graphics (TOG)
Inverse shade trees for non-parametric material representation and editing
ACM SIGGRAPH 2006 Papers
Frequency domain normal map filtering
ACM SIGGRAPH 2007 papers
Spherical Piecewise Constant Basis Functions for All-Frequency Precomputed Radiance Transfer
IEEE Transactions on Visualization and Computer Graphics
Modeling anisotropic surface reflectance with example-based microfacet synthesis
ACM SIGGRAPH 2008 papers
All-frequency rendering of dynamic, spatially-varying reflectance
ACM SIGGRAPH Asia 2009 papers
An anisotropic BRDF model for fitting and Monte Carlo rendering
ACM SIGGRAPH Computer Graphics - Visual Research, Evaluation and Assessment in the Age of Computer Graphics
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
A radiative transfer framework for rendering materials with anisotropic structure
ACM SIGGRAPH 2010 papers
Manifold bootstrapping for SVBRDF capture
ACM SIGGRAPH 2010 papers
Radiance Transfer Biclustering for Real-Time All-Frequency Biscale Rendering
IEEE Transactions on Visualization and Computer Graphics
Physically-based interactive bi-scale material design
Proceedings of the 2011 SIGGRAPH Asia Conference
Interactive hair rendering and appearance editing under environment lighting
Proceedings of the 2011 SIGGRAPH Asia Conference
Specular reflection from woven cloth
ACM Transactions on Graphics (TOG)
Structure-aware synthesis for predictive woven fabric appearance
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Real-Time Rendering of Rough Refraction
IEEE Transactions on Visualization and Computer Graphics
Interactive bi-scale editing of highly glossy materials
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
IEEE Transactions on Visualization and Computer Graphics
Fast estimation and rendering of indirect highlights
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
Accurate Translucent Material Rendering under Spherical Gaussian Lights
Computer Graphics Forum
A practical microcylinder appearance model for cloth rendering
ACM Transactions on Graphics (TOG)
A practical algorithm for rendering interreflections with all-frequency BRDFs
ACM Transactions on Graphics (TOG)
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We present a novel anisotropic Spherical Gaussian (ASG) function, built upon the Bingham distribution [Bingham 1974], which is much more effective and efficient in representing anisotropic spherical functions than Spherical Gaussians (SGs). In addition to retaining many desired properties of SGs, ASGs are also rotationally invariant and capable of representing all-frequency signals. To further strengthen the properties of ASGs, we have derived approximate closed-form solutions for their integral, product and convolution operators, whose errors are nearly negligible, as validated by quantitative analysis. Supported by all these operators, ASGs can be adapted in existing SG-based applications to enhance their scalability in handling anisotropic effects. To demonstrate the accuracy and efficiency of ASGs in practice, we have applied ASGs in two important SG-based rendering applications and the experimental results clearly reveal the merits of ASGs.