Atmospheric illumination and shadows
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
A new data structure for cumulative frequency tables
Software—Practice & Experience
Matrix computations (3rd ed.)
Efficient simulation of light transport in scenes with participating media using photon maps
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Interactive Rendering Method for Displaying Shafts of Light
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Physically Based Rendering: From Theory to Implementation
Physically Based Rendering: From Theory to Implementation
A practical analytic single scattering model for real time rendering
ACM SIGGRAPH 2005 Papers
I3D '06 Proceedings of the 2006 symposium on Interactive 3D graphics and games
ACM SIGGRAPH 2007 papers
Understanding the efficiency of ray traversal on GPUs
Proceedings of the Conference on High Performance Graphics 2009
Epipolar sampling for shadows and crepuscular rays in participating media with single scattering
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
Line space gathering for single scattering in large scenes
ACM SIGGRAPH 2010 papers
Real time volumetric shadows using polygonal light volumes
Proceedings of the Conference on High Performance Graphics
Warping and partitioning for low error shadow maps
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Real-time volumetric shadows using 1D min-max mipmaps
I3D '11 Symposium on Interactive 3D Graphics and Games
Proceedings of the ACM SIGGRAPH Symposium on High Performance Graphics
Real-time multiple scattering using light propagation volumes
I3D '12 Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games
Virtual ray lights for rendering scenes with participating media
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
The State of the Art in Interactive Global Illumination
Computer Graphics Forum
Interactive cloud rendering using temporally-coherent photon mapping
Proceedings of Graphics Interface 2012
ACM SIGGRAPH 2012 Courses
Camera space volumetric shadows
Proceedings of the Digital Production Symposium
Approximate Bias Compensation for Rendering Scenes with Heterogeneous Participating Media
Computer Graphics Forum
Graphics Interaction: Interactive cloud rendering using temporally coherent photon mapping
Computers and Graphics
Instant convolution shadows for volumetric detail mapping
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2013 Courses
Proceedings of the 18th meeting of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games
CUDA-accelerated simulation of multiple scattering using decoupling approximation
Journal of Visualization
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Volumetric effects such as beams of light through participating media are an important component in the appearance of the natural world. Many such effects can be faithfully modeled by a single scattering medium. In the presence of shadows, rendering these effects can be prohibitively expensive: current algorithms are based on ray marching, i.e., integrating the illumination scattered towards the camera along each view ray, modulated by visibility to the light source at each sample. Visibility must be determined for each sample using shadow rays or shadow-map lookups. We observe that in a suitably chosen coordinate system, the visibility function has a regular structure that we can exploit for significant acceleration compared to brute force sampling. We propose an efficient algorithm based on partial sum trees for computing the scattering integrals in a single-scattering homogeneous medium. On a CPU, we achieve speedups of 17--120x over ray marching.