A new Form Factor Analogy and its Application to Stochastic Global Illumination Algorithms
A new form factor analogy, that has been derived from results of integral geometry, is introduced. The new analogy is shown to be useful for stochastic evaluation of the local form of the rendering equation used in various Monte Carlo methods for calculating global illumination. It makes it possible to improve importance sampling in these methods, thereby speeding up convergence. A new class of bidirectional reflection distribution functions that directly benefits from the analogy and permits exact evaluation and calculation of correctly distributed vectors for Monte Carlo integration is presented.
KeywordsForm Factor Grazing Angle Incoming Radiance Monte Carlo Integration Global Illumination
Unable to display preview. Download preview PDF.
- 1.James Arvo. Stratified sampling of spherical triangles. In Robert Cook, editor, SIGGRAPH 95 Conference Proceedings, Annual Conference Series, pages 437–438. ACM SIGGRAPH, Addison Wesley, August 1995. held in Los Angeles, California, 06–11 August 1995.Google Scholar
- 2.Philip Dutre and Yves D. Willems. Importance-Driven Monte Carlo Light Tracing. In G. Sakas, P. Shirley, and S. Müller, editors, Photorealistic Rendering Techniques (Proceedings of the Fifth Eurographics Workshop on Rendering), pages 185–194, Wien-New York, June 1994. Springer-Verlag.Google Scholar
- 3.Alexander Keller. Quasi-monte carlo radiosity. In X. Pueyo and P. Schröder, editors, Rendering Techniques’ 96 (Proceedings of the Seventh Eurographics Workshop on Rendering), pages 101–110. Eurographics, Springer-Verlag, June 1996.Google Scholar
- 4.Eric P. Lafortune and Yves D. Willems. A 5D Tree to Reduce the Variance of Monte Carlo Ray Tracing. In P. M. Hanrahan and W. Purgathofer, editors, Rendering Techniques’ 95 (Proceedings of the Sixth Eurographics Workshop on Rendering), pages 11–20, Wien-New York, 1995. Springer-Verlag.Google Scholar
- 5.Derek H. Maling. Coordinate systems and map projections. Pergamon Press, Oxford-New York-Seoul-Tokyo, 2nd edition, 1992.Google Scholar
- 7.Mateu Sbert. The Use of Global Random Directions to Compute Radiosity — Global Monte Carlo Techniques. PhD thesis, Universitat Politècnica de Catalunya, Barcelona, Spain, November 1996.Google Scholar
- 8.Peter Schröder and Wim Sweldens. Spherical Wavelets: Texture Processing. In P. M. Hanrahan and W. Purgathofer, editors, Rendering Techniques’ 95 (Proceedings of the Sixth Eurographics Workshop on Rendering), pages 252–263, Wien-New York, 1995. Springer-Verlag.Google Scholar
- 10.Robert Siegel and John R. Howell. Thermal Radiation Heat Transfer. Hemisphere Publishing Corporation, Washington, D.C., 3rd edition, 1992.Google Scholar