Abstract
Multiple scattering in participating media is generally a complex phenomenon. In the limit of an optically thick medium, i.e., when the mean free path of each photon is much smaller than the medium size, the effects of multiple scattering can be approximated by a diffusion process. We introduce this approximation from the radiative transfer literature to the computer graphics community and propose several numerical methods for its solution. We implemented both a multi-grid finite differences scheme and a finite-element blob method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
P. Blasi, B. Le Saec, and C. Schlick. “A Rendering Algorithm for Discrete Volume Density Objects”. Computer Graphics Forum, 12 (3): 201–210, 1993.
J. J. Duderstadt and W. R. Martin. Transport Theory. John Wiley and Sons, New York, 1979.
D. S. Ebert and R. E. Parent. “Rendering and Animation of Gaseous Phenomena by Combining Fast Volume and Scanline A-buffer Techniques”. ACM Computer Graphics (SIGGRAPH ’90), 24 (4): 357–366, August 1990.
W. Hackbusch. Multi-grid Methods and Applications. Springer Verlag, Berlin, 1985.
P. Hanrahan and W. Krueger. “Reflection from Layered Surfaces due to Subsurface Scattering”. In Proceedings of SIGGRAPH ’93, pages 165–174. Addison-Wesley Publishing Company, August 1993.
A. Ishimaru. VOLUME 1. Wave Propagation and Scattering in Random Media. Single Scattering and Transport Theory. Academic Press, New York, 1978.
J. T. Kajiya and B. P. von Herzen. “Ray Tracing Volume Densities”. ACM Computer Graphics (SIGGRAPH ’84), 18 (3): 165–174, July 1984.
E. Langu6nou, K.Bouatouch, and M.Chelle. Global illumination in presence of participating media with general properties. In Proceedings of the 5 th Eurographics Workshop on Rendering, pages 69–85, Darmstadt, Germany, June 1994.
N. Max. Efficient light propagation for multiple anisotropic volume scattering. In Proceedings of the 5th Eurographics Workshop on Rendering, pages 87–104, Darmstadt, Germany, June 1994.
D. H. Norrie and G. de Vries. The Finite Element Method. Fundamentals and Applications. Academic Press, New York, 1973.
S. N. Pattanaik and S. P. Mudur. Computation of global illumination in a participating medium by monte carlo simulation. The Journal of Visualization and Computer Animation, 4 (3): 133–152, July–September 1993.
W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling. Numerical Recipes in C. The Art of Scientific Computing. Cambridge University Press, Cambridge, 1988.
H. E. Rushmeier and K. E. Torrance. “The Zonal Method for Calculating Light Intensities in the Presence of a Participating Medium”. ACM Computer Graphics (S1GGRAPH’87) 21 (4): 293–302, July 1987.
G. Sakas. “Fast Rendering of Arbitrary Distributed Volume Densities”. In F. H. Post and W. Barth, editors, Proceedings of EUROGRAPHICS ’90, pages 519–530. Elsevier Science Publishers B.V. ( North-Holland ), September 1990.
R. Siegel and J. R. Howell. Thermal Radiation Heat Transfer. Hemisphere Publishing Corp., Washington DC, 1981.
F. X. Sillion, J. R. Arvo, S. H. Westin, and D. P. Greenberg. “A Global Illumination Solution for General Reflectance Distributions”. ACM Computer Graphics (SIGGRAPH ’91), 25 (4): 187–196, July 1991.
J. Stam and E. Fiume. “Turbulent Wind Fields for Gaseous Phenomena”. In Proceedings of SIGGRAPH ’95, pages 369–376. Addison-Wesley Publishing Company, August 1993.
J. Stam and E. Fiume. “Depicting Fire and Other Gaseous Phenomena Using Diffusion Processes”. To appear in SIGGRAPH ’95,1995.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer-Verlag/Wien
About this paper
Cite this paper
Stam, J. (1995). Multiple scattering as a diffusion process. In: Hanrahan, P.M., Purgathofer, W. (eds) Rendering Techniques ’95. EGSR 1995. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-9430-0_5
Download citation
DOI: https://doi.org/10.1007/978-3-7091-9430-0_5
Published:
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82733-8
Online ISBN: 978-3-7091-9430-0
eBook Packages: Springer Book Archive