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
Ray tracing complex models containing surface tessellations
SIGGRAPH '87 Proceedings of the 14th 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
An improved illumination model for shaded display
Communications of the ACM
A ray tracing solution for diffuse interreflection
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
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
Unbiased sampling techniques for image synthesis
Proceedings of the 18th 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
An updated cross-indexed guide to the ray-tracing literature
ACM SIGGRAPH Computer Graphics
Fast algorithms for volume ray tracing
VVS '92 Proceedings of the 1992 workshop on Volume visualization
Energy preserving non-linear filters
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Adjoint equations and random walks for illumination computation
ACM Transactions on Graphics (TOG)
Optimally combining sampling techniques for Monte Carlo rendering
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Rendering equation revisited: how to avoid explicit visibility computations
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
Anisotropic diffusion for Monte Carlo noise reduction
ACM Transactions on Graphics (TOG)
Monte Carlo evaluation of non-linear scattering equations for subsurface reflection
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Accelerating path tracing by re-using paths
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Visual simulation of weathering by γ-ton tracing
ACM SIGGRAPH 2005 Papers
Image synthesis using adjoint photons
GI '06 Proceedings of Graphics Interface 2006
High quality rendering using ray tracing and photon mapping
ACM SIGGRAPH 2007 courses
Advanced global illumination using photon mapping
ACM SIGGRAPH 2008 classes
Proceedings of the Conference on High Performance Graphics 2009
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
A comprehensive theory of volumetric radiance estimation using photon points and beams
ACM Transactions on Graphics (TOG)
Farthest-point optimized point sets with maximized minimum distance
Proceedings of the ACM SIGGRAPH Symposium on High Performance Graphics
Interactive weathering of depth-inferred videos
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
On filtering the noise from the random parameters in Monte Carlo rendering
ACM Transactions on Graphics (TOG)
Theory, analysis and applications of 2D global illumination
ACM Transactions on Graphics (TOG)
State of the art in photon density estimation
ACM SIGGRAPH 2012 Courses
Efficient and accurate rendering of complex light sources
EGSR'09 Proceedings of the Twentieth Eurographics conference on Rendering
Hardware challenges for ray tracing and radiosity algorithms
EGGH'92 Proceedings of the Seventh Eurographics conference on Graphics Hardware
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The rendering equation is similar to the linear Boltzmann equation which has been widely studied in physics and nuclear engineering. Consequently, many of the powerful techniques which have been developed in these fields can be applied to problems in image synthesis. In this paper we adapt several statistical techniques commonly used in neutron transport to stochastic ray tracing and, more generally, to Monte Carlo solution of the rendering equation. First, we describe a technique known as Russian roulette which can be used to terminate the recursive tracing of rays without introducing statistical bias. We also examine the practice of creating ray trees in classical ray tracing in the light of a well-known technique in particle transport known as splitting. We show that neither ray trees nor paths as described in [10] constitute an optimal sampling plan in themselves and that a hybrid may be more efficient.