Efficient piecewise-linear function approximation using the uniform metric: (preliminary version)
SCG '94 Proceedings of the tenth annual symposium on Computational geometry
Optimally combining sampling techniques for Monte Carlo rendering
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Stratified sampling of spherical triangles
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Techniques for Assessing Polygonal Approximations of Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Structured importance sampling of environment maps
ACM SIGGRAPH 2003 Papers
A data-driven reflectance model
ACM SIGGRAPH 2003 Papers
Efficient illumination by high dynamic range images
EGRW '03 Proceedings of the 14th Eurographics workshop on Rendering
Robust monte carlo methods for light transport simulation
Robust monte carlo methods for light transport simulation
Physically Based Rendering: From Theory to Implementation
Physically Based Rendering: From Theory to Implementation
A data-driven reflectance model
A data-driven reflectance model
Fast hierarchical importance sampling with blue noise properties
ACM SIGGRAPH 2004 Papers
Efficient BRDF importance sampling using a factored representation
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2006 Papers
Parallel Poisson disk sampling
ACM SIGGRAPH 2008 papers
Precomputed importance sampling
ACM SIGGRAPH 2008 posters
Real-time shading with filtered importance sampling
EGSR'08 Proceedings of the Nineteenth Eurographics conference on Rendering
Rendering discrete random media using precomputed scattering solutions
EGSR'07 Proceedings of the 18th Eurographics conference on Rendering Techniques
Sequential sampling for dynamic environment map illumination
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Accelerated light propagation through participating media
VG'07 Proceedings of the Sixth Eurographics / Ieee VGTC conference on Volume Graphics
Real-time kd-tree based importance sampling of environment maps
Proceedings of the 28th Spring Conference on Computer Graphics
A parallel algorithm for improving the maximal property of Poisson disk sampling
Computer-Aided Design
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As image-based surface reflectance and illumination gain wider use in physically-based rendering systems, it is becoming more critical to provide representations that allow sampling light paths according to the distribution of energy in these high-dimensional measured functions. In this paper, we apply algorithms traditionally used for curve approximation to reduce the size of a multidimensional tabulated Cumulative Distribution Function (CDF) by one to three orders of magnitude without compromising its fidelity. These adaptive representations enable new algorithms for sampling environment maps according to the local orientation of the surface and for multiple importance sampling of image-based lighting and measured BRDFs.