Spectrally optimal sampling for distribution ray tracing
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
A rapid hierarchical radiosity algorithm
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
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
Global illumination of glossy environments using wavelets and importance
ACM Transactions on Graphics (TOG)
Multistep scattered data interpolation using compactly supported radial basis functions
Journal of Computational and Applied Mathematics - Special issue on scattered data
Smoothed particles: a new paradigm for animating highly deformable bodies
Proceedings of the Eurographics workshop on Computer animation and simulation '96
Global illumination using photon maps
Proceedings of the eurographics workshop on Rendering techniques '96
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
A ray tracing solution for diffuse interreflection
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Photographic tone reproduction for digital images
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
R-trees: a dynamic index structure for spatial searching
SIGMOD '84 Proceedings of the 1984 ACM SIGMOD international conference on Management of data
A Unified Hierarchical Algorithm for Global Illumination with Scattering Volumes and Object Clusters
IEEE Transactions on Visualization and Computer Graphics
Wavelet Radiosity on Arbitrary Planar Surfaces
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
Particle-based fluid simulation for interactive applications
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
All-frequency shadows using non-linear wavelet lighting approximation
ACM SIGGRAPH 2003 Papers
Clustered principal components for precomputed radiance transfer
ACM SIGGRAPH 2003 Papers
Combining edges and points for interactive high-quality rendering
ACM SIGGRAPH 2003 Papers
Physically Based Rendering: From Theory to Implementation
Physically Based Rendering: From Theory to Implementation
Radiosity for Point-Sampled Geometry
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Point based animation of elastic, plastic and melting objects
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Meshless animation of fracturing solids
ACM SIGGRAPH 2005 Papers
Lightcuts: a scalable approach to illumination
ACM SIGGRAPH 2005 Papers
Fast and detailed approximate global illumination by irradiance decomposition
ACM SIGGRAPH 2005 Papers
Precomputed local radiance transfer for real-time lighting design
ACM SIGGRAPH 2005 Papers
Local, deformable precomputed radiance transfer
ACM SIGGRAPH 2005 Papers
3D scattered data interpolation and approximation with multilevel compactly supported RBFs
Graphical Models - Special issue on SMI 2003
Radiance Caching for Efficient Global Illumination Computation
IEEE Transactions on Visualization and Computer Graphics
Master-element vector irradiance for large tessellated models
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
View-dependent precomputed light transport using nonlinear Gaussian function approximations
I3D '06 Proceedings of the 2006 symposium on Interactive 3D graphics and games
ACM SIGGRAPH 2006 Papers
Direct-to-indirect transfer for cinematic relighting
ACM SIGGRAPH 2006 Papers
A framework for precomputed and captured light transport
ACM Transactions on Graphics (TOG)
Radiance cache splatting: a GPU-friendly global illumination algorithm
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
EGWR'99 Proceedings of the 10th Eurographics conference on Rendering
Wavelet radiance transport for interactive indirect lighting
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
Precomputation-Based Rendering
Foundations and Trends® in Computer Graphics and Vision
Micro-rendering for scalable, parallel final gathering
ACM SIGGRAPH Asia 2009 papers
Consolidation of unorganized point clouds for surface reconstruction
ACM SIGGRAPH Asia 2009 papers
Accurate multidimensional Poisson-disk sampling
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2009 Courses
ACM SIGGRAPH ASIA 2009 Courses
Edge-avoiding À-Trous wavelet transform for fast global illumination filtering
Proceedings of the Conference on High Performance Graphics
Volumetric vector-based representation for indirect illumination caching
Journal of Computer Science and Technology
Proceedings of the 2011 SIGGRAPH Asia Conference
Runtime implementation of modular radiance transfer
ACM SIGGRAPH 2011 Talks
Interactive sound propagation using compact acoustic transfer operators
ACM Transactions on Graphics (TOG)
State of the art in photon density estimation
ACM SIGGRAPH 2012 Courses
KinÊtre: animating the world with the human body
Proceedings of the 25th annual ACM symposium on User interface software and technology
Progressive expectation-maximization for hierarchical volumetric photon mapping
EGSR'11 Proceedings of the Twenty-second Eurographics conference on Rendering
Coherent out-of-core point-based global illumination
EGSR'11 Proceedings of the Twenty-second Eurographics conference on Rendering
Hierarchical image-space radiosity for interactive global illumination
EGSR'09 Proceedings of the Twentieth Eurographics conference on Rendering
Multi-image based photon tracing for interactive global illumination of dynamic scenes
EGSR'10 Proceedings of the 21st Eurographics conference on Rendering
Sparsely precomputing the light transport matrix for real-time rendering
EGSR'10 Proceedings of the 21st Eurographics conference on Rendering
A PCA decomposition for real-time brdf editing and relighting with global illumination
EGSR'10 Proceedings of the 21st Eurographics conference on Rendering
Global illumination with radiance regression functions
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Approximating functions on a mesh with restricted Voronoï diagrams
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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We introduce a meshless hierarchical representation for solving light transport problems. Precomputed radiance transfer (PRT) and finite elements require a discrete representation of illumination over the scene. Non-hierarchical approaches such as per-vertex values are simple to implement, but lead to long precomputation. Hierarchical bases like wavelets lead to dramatic acceleration, but in their basic form they work well only on flat or smooth surfaces. We introduce a hierarchical function basis induced by scattered data approximation. It is decoupled from the geometric representation, allowing the hierarchical representation of illumination on complex objects. We present simple data structures and algorithms for constructing and evaluating the basis functions. Due to its hierarchical nature, our representation adapts to the complexity of the illumination, and can be queried at different scales. We demonstrate the power of the new basis in a novel precomputed direct-to-indirect light transport algorithm that greatly increases the complexity of scenes that can be handled by PRT approaches.