“Efficient simulation of light transport in scenes with participating media using photon maps” by Jensen and Christensen

This paper presents a new method for computing global illumination in scenes with participating media. The method is based on bidirectional Monte Carlo ray tracing and uses photon maps to increase efficiency and reduce noise. We remove previous restrictions limiting the photon map method to surfaces by introducing a volume photon map containing photons in participating media. We also derive a new radiance estimate for photons in the volume photon map. The method is fast and simple, but also general enough to handle nonhomogeneous media and anisotropic scattering. It can efficiently simulate effects such as multiple volume scattering, color bleeding between volumes and surfaces, and volume caustics (light reflected from or transmitted through specular surfaces and then scattered by a medium). The photon map is decoupled from the geometric representation of the scene, making the method capable of simulating global illumination in scenes containing complex objects. These objects do not need to be tessellated; they can be instanced, or even represented by an implicit function. Since the method is based on a bidirectional simulation, it automatically adapts to illumination and view. Furthermore, because the use of photon maps reduces noise and aliasing, the method is suitable for rendering of animations.

1. James R. Arvo. Backward ray tracing. ACM SIGGRAPH 86 Course Notes Developments in Ray Tracing, 12, 1986.
2. Jon L. Bentley. Multidimensional binary search trees used for associative searching. Communications of the ACM, 18(9):509- 517, 1975.
3. N. Bhate and A. Tokuta. Photorealistic volume rendering of media with directional scattering. Proceedings of the 3rd Eurographics Workshop on Rendering, pages 227-245, 1992.
4. Philippe Blasi, Bertrand Le Sa~c, and Christophe Schlick. A rendering algorithm for discrete volume density objects. Computer Graphics Forum (Proceedings of Eurographics ’93), 12(3):201- 210, 1993.
5. James F. Blinn. Light reflection functions for simulation of clouds and dusty surfaces. Proceedings of A CM SIGGRAPH 82, pages 21-29, 1982.
6. Per H. Christensen. Global illumination for professional 3D animation, visualization, and special effects. Rendering Techniques ’97 (Proceedings of the 8th Eurographics Workshop on Rendering), pages 321-326, 1997.
7. David Doubilet. Light in the Sea. National Geographic, 1989.
8. David S. Ebert. Volumetric modeling with implicit functions (A cloud is born). Visual Proceedings of ACM SIGGRAPH 97, page 147, 1997. Technical Sketch.
9. David S. Ebert, F. Kenton Musgrave, Darwyn Peachey, Ken Perlin, and Steven Worley. Texturing and Modeling: A Procedural Approach. AP Professional, 1994.
10. Andrew S. Glassner. Principles of Digital Image Synthesis. Morgan Kaufmann, San Francisco, CA, 1995.
11. Pat Hanrahan, David Salzman, and Larry Aupperle. A rapid hierarchical radiosity algorithm. Proceedings of A CM SIG- GRAPH 91, pages 197-206, 1991.
12. Paul Heckbert. Adaptive radiosity textures for bidirectional ray tracing. Proceedings of ACM SIGGRAPH 90, pages 145-154, 1990.
13. Henrik Wann Jensen. Global illumination using photon maps. Rendering Techniques ’96 (Proceedings of the 7th Eurographics Workshop on Rendering), pages 21-30, 1996.
14. Henrik Wann Jensen. The Photon Map in Global Illumination. PhD thesis, Technical University of Denmark, Lyngby, Denmark, 1996.
15. Henrik Wann Jensen. Rendering caustics on non-Lambertian surfaces. Proceedings of Graphics Interface ’96, pages 116-121, 1996.
16. James T. Kajiya and Brian P. von Herzen. Ray tracing volume densities. Proceedings of ACM SIGGRAPH 84, pages 165-174, 1984.
17. R. Victor Klassen. Modeling the effect of the atmosphere on light. ACM Transactions on Graphics, 6(3):215-237, 1987.
18. Eric P. Lafortune and Yves D. Willems. Bi-directional path tracing. Proceedings of Compugraphics ’93, pages 145-153, 1993.
19. Eric P. Lafortune and Yves D. Willems. Rendering participating media with bidirectional path tracing. Rendering Techniques ’96 (Proceedings of the 7th Eurographics Workshop on Rendering), pages 92-101, 1996.
20. Eric Langu6nou, Kadi Bouatouch, and Michelle Chelle. Global illumination in presence of participating media with general properties. Proceedings of the 5th Eurographics Workshop on Rendering, pages 69-85, 1994.
21. Nelson L. Max. Light diffusion through clouds and haze. Compurer Vision, Graphics, and Image Processing, 33(3):280-292, March 1986.
22. Nelson L. Max. Efficient light propagation for multiple anisotropic volume scattering. Proceedings of the 5th Eurographics Workshop on Rendering, pages 87-104, 1994.
23. Gustav Mie. Beitrgge zur optik trfiber medien, speziell kolloidaler metallSsungen. Annalen der Physik, 25(3):377-445, 1908.
24. Harald Niederreiter. Random Number Generation and Quasi- Monte Carlo Methods, volume 63 of Regional Conference Seties in Applied Mathematics. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, Pennsylvania, 1992.
25. Tomoyuki Nishita, Yoshinori Dobashi, and Eihachiro Nakamae. Display of clouds taking into account multiple anisotropic scattering and sky light. Proceedings of A CM SIGGRAPH 96, pages 379-386, 1996.
26. S. N. Pattanaik and S. P. Mudur. Computation of global illumination in a participating medium by Monte Carlo simulation. Journal on Visualization and Computer Animation, 4(3):133- 152, 1993.
27. Frederic P6rez, Xavier Pueyo, and Francois X. Sillion. Global illumination techniques for the simulation of participating media. Rendering Techniques ’97 (Proceedings of the 8th Eurographics Workshop on Rendering), pages 309-320, 1997.
28. Ken Perlin. An image synthesizer. Proceedings of A CM SIG- GRAPH 85, pages 287-296, 1985.
29. Holly E. Rushmeier. Realistic Image Synthesis for Scenes with Radiatively Participating Media. PhD thesis, Cornell University, Ithaca, New York, 1988.
30. Holly E. Rushmeier. Rendering participating media: Problems and solutions from application areas. Proceedings of the 5th Eurographics Workshop on Rendering, pages 35-56, 1994.
31. Holly E. Rushmeier and Kenneth E. Torrance. The zonal method for calculating light intensities in the presence of a participating medium. Proceedings of ACM SIGGRAPH 87, pages 293-302, 1987.
32. Robert Siegel and John R. Howell. Thermal Radiation Heat Transfer, 3rd Edition. Hemisphere Publishing Corporation, New York, 1992.
33. Jos Stam. Multiple scattering as a diffusion process. Rendering Techniques ’95 (Proceedings of the 6th Eurographics Workshop on Rendering), pages 41-50, 1995.
34. Eric Veach and Leonidas Guibas. Bidirectional estimators for light transport. Proceedings of the 5th Eurographics Workshop on Rendering, pages 147-162, 1994.
35. Eric Veach and Leonidas J. Guibas. Metropolis light transport. Proceedings of ACM SIGGRAPH 97, pages 65-76, 1997.
36. Bruce Walter, Philip M. Hubbard, Peter Shirley, and Donald P. Greenberg. Global illumination using local linear density estimation. ACM Transactions on Graphics, 16(3):217-259, 1997.
37. Gregory J. Ward. The RADIANCE lighting simulation and rendering system. Proceedings of A CM SIGGRAPH 94, pages 459- 472, 1994.
38. Mark Watt. Light-water interaction using backward beam tracing. Proceedings of ACM SIGGRAPH 90, pages 377-385, 1990.