Bidirectional reflection functions from surface bump maps
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Illumination and color in computer generated imagery
Illumination and color in computer generated imagery
A model for anisotropic reflection
SIGGRAPH '90 Proceedings of the 17th 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
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Wavelength dependent reflectance functions
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Spherical wavelets: efficiently representing functions on the sphere
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Pipeline rendering: interaction and realism through hardware-based multi-pass rendering
Pipeline rendering: interaction and realism through hardware-based multi-pass rendering
Fitting virtual lights for non-diffuse walkthroughs
Proceedings of the 24th 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
View-independent environment maps
HWWS '98 Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Reflection space image based rendering
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Realistic, hardware-accelerated shading and lighting
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Interactive rendering with arbitrary BRDFs using separable approximations
ACM SIGGRAPH 99 Conference abstracts and applications
A microfacet-based BRDF generator
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Monte Carlo evaluation of non-linear scattering equations for subsurface reflection
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Interactive multi-pass programmable shading
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Illuminating micro geometry based on precomputed visibility
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
An anisotropic phong BRDF model
Journal of Graphics Tools
Illumination for computer generated pictures
Communications of the ACM
A user-programmable vertex engine
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A real-time procedural shading system for programmable graphics hardware
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Bidirectional Reflection Distribution Function Expressed in Terms of Surface Scattering Modes
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
Interactive Rendering of Globally Illuminated Glossy Scenes
Proceedings of the Eurographics Workshop on Rendering Techniques '97
General Calculations using Graphics Hardware with Applications to Interactive Caustics
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
Unified Approach to Prefiltered Environment Maps
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
IEEE Computer Graphics and Applications
Light field mapping: efficient representation and hardware rendering of surface light fields
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Homomorphic factorization of BRDF-based lighting computation
Proceedings of the 29th 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
Interactive global illumination in dynamic scenes
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Efficient rendering of spatial bi-directional reflectance distribution functions
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Fast, arbitrary BRDF shading for low-frequency lighting using spherical harmonics
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Interactive spectral volume rendering
Proceedings of the conference on Visualization '02
Automatic shader level of detail
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
A data-driven reflectance model
ACM SIGGRAPH 2003 Papers
Nonlinear optimization framework for image-based modeling on programmable graphics hardware
ACM SIGGRAPH 2003 Papers
Efficient and realistic visualization of cloth
EGRW '03 Proceedings of the 14th Eurographics workshop on Rendering
Efficient isotropic BRDF measurement
EGRW '03 Proceedings of the 14th Eurographics workshop on Rendering
Factorization of the Ashikhmin BRDF for real-time rendering
Journal of Graphics Tools - Special on hardware-accelerated rendering techniques
Synthesis and Rendering of Bidirectional Texture Functions on Arbitrary Surfaces
IEEE Transactions on Visualization and Computer Graphics
Decoupling BRDFs from surface mesostructures
GI '04 Proceedings of the 2004 Graphics Interface Conference
Efficient BRDF importance sampling using a factored representation
ACM SIGGRAPH 2004 Papers
Rendering Deformable Surface Reflectance Fields
IEEE Transactions on Visualization and Computer Graphics
All-frequency relighting of glossy objects
ACM Transactions on Graphics (TOG)
Inverse shade trees for non-parametric material representation and editing
ACM SIGGRAPH 2006 Papers
Real-time BRDF editing in complex lighting
ACM SIGGRAPH 2006 Papers
Real-time soft shadows in dynamic scenes using spherical harmonic exponentiation
ACM SIGGRAPH 2006 Papers
BRDF estimation system for structural colors
Proceedings of the 2005 international conference on Augmented tele-existence
Reflectance Sharing: Predicting Appearance from a Sparse Set of Images of a Known Shape
IEEE Transactions on Pattern Analysis and Machine Intelligence
Realistic materials in computer graphics
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Nonlinear optimization framework for image-based modeling on programmable graphics hardware
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
The spatial bi-directional reflectance distribution function
ACM SIGGRAPH 2002 conference abstracts and applications
Wavelet encoding of BRDFs for real-time rendering
GI '07 Proceedings of Graphics Interface 2007
Interactive relighting with dynamic BRDFs
ACM SIGGRAPH 2007 papers
A gaze-based study for investigating the perception of visual realism in simulated scenes
ACM Transactions on Applied Perception (TAP)
A precomputed polynomial representation for interactive BRDF editing with global illumination
ACM Transactions on Graphics (TOG)
Representing BRDFs using SOMs and MANs
ACM SIGGRAPH Computer Graphics
Digital Modeling of Material Appearance
Digital Modeling of Material Appearance
Printing spatially-varying reflectance
ACM SIGGRAPH Asia 2009 papers
Principles of Appearance Acquisition and Representation
Foundations and Trends® in Computer Graphics and Vision
A generic real-time rendering approach for structural colors
Proceedings of the 16th ACM Symposium on Virtual Reality Software and Technology
Advanced designer-oriented system in VR environment
ICACT'09 Proceedings of the 11th international conference on Advanced Communication Technology - Volume 1
Computer-aided appearance design based on BRDF measurements
Computer-Aided Design
Advanced textural representation of materials appearance
SIGGRAPH Asia 2011 Courses
All-frequency precomputed radiance transfer for glossy objects
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
All-frequency relighting of non-diffuse objects using separable BRDF approximation
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
Online construction of surface light fields
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
Reflectance sharing: image-based rendering from a sparse set of images
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
Efficient basis decomposition for scattered reflectance data
EGSR'07 Proceedings of the 18th Eurographics conference on Rendering Techniques
Symmetric photography: exploiting data-sparseness in reflectance fields
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Simulated bidirectional texture functions with silhouette details
Proceedings of Graphics Interface 2013
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A bidirectional reflectance distribution function (BRDF) describes how a material reflects light from its surface. To use arbitrary BRDFs in real-time rendering, a compression technique must be used to represent BRDFs using the available texture-mapping and computational capabilities of an accelerated graphics pipeline. We present a numerical technique, homomorphic factorization, that can decompose arbitrary BRDFs into products of two or more factors of lower dimensionality, each factor dependent on a different interpolated geometric parameter. Compared to an earlier factorization technique based on the singular value decomposition, this new technique generates a factorization with only positive factors (which makes it more suitable for current graphics hardware accelerators), provides control over the smoothness of the result, minimizes relative rather than absolute error, and can deal with scattered, sparse data without a separate resampling and interpolation algorithm.