Atmospheric illumination and shadows
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Visual simulation of atmospheric haze
Computer Graphics Forum
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Interactive rendering of atmospheric scattering effects using graphics hardware
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Light reflection functions for simulation of clouds and dusty surfaces
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
Mathematical Approximation for Real-Time Lighting Rendering Through Participating Media
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Interactive Rendering Method for Displaying Shafts of Light
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Real-time light-atmosphere interactions for outdoor scenes
Graphics programming methods
Graphics programming methods
A practical analytic single scattering model for real time rendering
ACM SIGGRAPH 2005 Papers
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Anti-aliased and real-time rendering of scenes with light scattering effects
The Visual Computer: International Journal of Computer Graphics
Fogshop: Real-Time Design and Rendering of Inhomogeneous, Single-Scattering Media
PG '07 Proceedings of the 15th Pacific Conference on Computer Graphics and Applications
An analytical approach to single scattering for anisotropic media and light distributions
Proceedings of Graphics Interface 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
Real time volumetric shadows using polygonal light volumes
Proceedings of the Conference on High Performance Graphics
Efficient rendering of atmospheric phenomena
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
A closed-form solution to single scattering for general phase functions and light distributions
EGSR'10 Proceedings of the 21st Eurographics conference on Rendering
Real-time multiple scattering using light propagation volumes
I3D '12 Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games
The State of the Art in Interactive Global Illumination
Computer Graphics Forum
Importance Sampling Techniques for Path Tracing in Participating Media
Computer Graphics Forum
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Analytic approaches to efficiently simulate accurate light transport in homogeneous participating media have recently received attention in the graphics community, and although a closed-form solution to the single-scattering air-light integral has been derived for a generic representation of 1-D angular distributions, its high order of computational complexity alas limits its practical applicability. In this paper, we introduce alternative algebraic formulations of the solution that entirely preserve its closed-form nature while effectively reducing its order of complexity. The analytic derivations yield a significant decrease in the computational cost of the evaluation scheme, and the substantial gains in performance achieved by the method make high-quality light transport simulation considerably more applicable to both real-time and off-line rendering.