Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
Bounds and error estimates for radiosity
SIGGRAPH '94 Proceedings of the 21st 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
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Proceedings of the eurographics workshop on Rendering techniques '96
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
An improved illumination model for shaded display
Communications of the ACM
Hierarchical Monte Carlo image synthesis
Mathematics and Computers in Simulation - IMACS sponsored Special issue on the second IMACS seminar on Monte Carlo methods
An efficient representation for irradiance environment maps
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Interactive global illumination using selective photon tracing
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Error and Complexity of Random Walk Monte Carlo Radiosity
IEEE Transactions on Visualization and Computer Graphics
An Error Metric for Monte Carlo Ray Tracing
Proceedings of the Eurographics Workshop on Rendering Techniques '97
Path Differentials and Applications
Proceedings of the 12th Eurographics Workshop on Rendering Techniques
Structured importance sampling of environment maps
ACM SIGGRAPH 2003 Papers
Refinement criteria based on f-divergences
EGRW '03 Proceedings of the 14th Eurographics workshop on Rendering
Fast hierarchical importance sampling with blue noise properties
ACM SIGGRAPH 2004 Papers
Wavelet importance sampling: efficiently evaluating products of complex functions
ACM SIGGRAPH 2005 Papers
Proceedings of the 5th international conference on Computer graphics and interactive techniques in Australia and Southeast Asia
Multidimensional adaptive sampling and reconstruction for ray tracing
ACM SIGGRAPH 2008 papers
Efficient product sampling using hierarchical thresholding
The Visual Computer: International Journal of Computer Graphics
Deterministic importance sampling with error diffusion
EGSR'09 Proceedings of the Twentieth Eurographics conference on Rendering
Importance resampling for global illumination
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
Bidirectional importance sampling for direct illumination
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
Photorealistic image rendering with population monte carlo energy redistribution
EGSR'07 Proceedings of the 18th Eurographics conference on Rendering Techniques
Two stage importance sampling for direct lighting
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
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This paper proposes an adaptive sampling algorithm for environment mapping. Unlike importance sampling, adaptive sampling does not try to mimic the integrand with analytically integrable and invertible densities, but approximates the integrand with analytically integrable functions, thus it is more appropriate for complex integrands, which correspond to difficult lighting conditions and sophisticated BRDF models. We develop an adaptation scheme that is based on ray differentials and does not require neighbor finding and complex data structures in higher dimensions. As a side result of the adaptation criterion, the algorithm also provides error estimates, which are essential in predictive rendering applications.