A 5D Tree to Reduce the Variance of Monte Carlo Ray Tracing

In this paper we present a 5D tree structure to cache illumination information gained during Monte Carlo ray tracing. The structure is elegant and simple to use. It is adaptive and makes abstraction of the complexity of the input scene automatically.

[1]  J. Hammersley,et al.  Monte Carlo Methods , 1965 .

[2]  J. Halton On the relative merits of correlated and importance sampling for Monte Carlo integration , 1965 .

[3]  Anne Lohrli Chapman and Hall , 1985 .

[4]  Samuel P. Uselton,et al.  Statistically optimized sampling for distributed ray tracing , 1985, SIGGRAPH.

[5]  Donald P. Greenberg,et al.  A radiosity method for non-diffuse environments , 1986, SIGGRAPH.

[6]  Stephen H. Westin,et al.  A global illumination solution for general reflectance distributions , 1991, SIGGRAPH.

[7]  Peter Shirley,et al.  Physically based lighting calculations for computer graphics , 1991 .

[8]  Sumanta N. Pattanaik,et al.  Computational Methods for Global Illumination and Visual-isation of Complex 3D Environments , 1993 .

[9]  Yves D. Willems,et al.  Bi-directional path tracing , 1993 .

[10]  Yves D. Willems,et al.  A Theoretical Framework for Physically Based Rendering , 1994, Comput. Graph. Forum.

[11]  B. Lange The Simulation of Radiant Light Transfer with Stochastic Ray-Tracing , 1994 .

[12]  Gregory J. Ward,et al.  Adaptive Shadow Testing for Ray Tracing , 1994 .

[13]  Leonidas J. Guibas,et al.  Bidirectional Estimators for Light Transport , 1995 .

[14]  Yves D. Willems,et al.  Reducing the number of shadow rays in bidirectional path tracing , 1995 .

[15]  Kadi Bouatouch,et al.  Global Illumination in Presence of Participating Media with General Properties , 1995 .

[16]  Yves D. Willems,et al.  Potential-driven Monte Carlo Particle Tracing for Diffuse Environments with Adaptive Probability Functions , 1995, Rendering Techniques.

[17]  Henrik Wann Jensen,et al.  Importance Driven Path Tracing using the Photon Map , 1995, Rendering Techniques.

[18]  François X. Sillion Clustering and Volume Scattering for Hierarchical Radiosity Calculations , 1995 .

[19]  Yves D. Willems,et al.  The Ambient Term as a Variance Reducing Technique for Monte Carlo Ray Tracing , 1995 .

[20]  N. Max Efficient light propagation for multiple anisotropic volume scattering , 1995 .

[21]  Peter Shirley,et al.  Monte Carlo techniques for direct lighting calculations , 1996, TOGS.