Monte Carlo methods. Vol. 1: basics
Monte Carlo methods. Vol. 1: basics
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
A two-pass solution to the rendering equation: A synthesis of ray tracing and radiosity methods
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
A general two-pass method integrating specular and diffuse reflection
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Particle transport and image synthesis
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
A progressive multi-pass method for global illumination
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Physically based lighting calculations for computer graphics
Physically based lighting calculations for computer graphics
An importance-driven radiosity algorithm
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
An improved illumination model for shaded display
Communications of the ACM
A progressive refinement approach to fast radiosity image generation
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
A ray tracing solution for diffuse interreflection
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Simulation and the Monte Carlo Method
Simulation and the Monte Carlo Method
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Modeling the interaction of light between diffuse surfaces
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Weighted importance sampling in shooting algorithms
SCCG '03 Proceedings of the 19th spring conference on Computer graphics
Bidirectional Ray Tracing for the Integration of Illumination by the Quasi-Monte Carlo Method
Programming and Computing Software
Speeding up the virtual light sources algorithm
Proceedings of the 20th spring conference on Computer graphics
A framework for precomputed and captured light transport
ACM Transactions on Graphics (TOG)
Advanced global illumination using photon mapping
ACM SIGGRAPH 2008 classes
Information theory tools for scene discretization
EGWR'99 Proceedings of the 10th Eurographics conference on Rendering
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In this paper we introduce the potential equation that along with the rendering equation forms an adjoint system of equations and provides a mathematical frame work for all known approaches to illumination computation based on geometric optics. The potential equation is more natural for illumination computations that simulate light propagation starting from the light sources, such as progressive radiosity and particle tracing. Using the mathematical handles provided by this framework and the random-walk solution model, we present a number of importance sampling schemes for improving the computation of flux estimation. Of particular significance is the use of approximately computed potential for directing a majority of the random walks through regions of importance in the environment, thus reducing the variance in the estimates of luminous flux in these regions. Finally, results from a simple implementation are presented to demonstrate the high-efficiency improvements made possible by the use of these techniques.