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The Ambient Term as a Variance Reducing Technique for Monte Carlo Ray Tracing

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Photorealistic Rendering Techniques

Part of the book series: Focus on Computer Graphics ((FOCUS COMPUTER))

Abstract

Ray tracing algorithms often approximate indirect diffuse lighting by means of an ambient lighting term. In this paper we show how a similar term can be used as a variance reducing technique for stochastic ray tracing. In a theoretical derivation we prove that the technique is mathematically correct. Test results demonstrate its usefulness and effectiveness in practice.

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References

  1. T. Whitted, “An improved illumination model for shaded display,” Communications of the ACM, vol. 23, no. 6, 1980.

    Article  Google Scholar 

  2. R. Cook, T. Porter, and L. Carpenter, “Distributed ray tracing,” Computer Graphics, vol. 18, no. 3, pp. 137–145, 1984.

    Article  Google Scholar 

  3. J. Kajiya, “The rendering equation,” Computer Graphics, vol. 20, no. 4, pp. 143–150, 1986.

    Article  Google Scholar 

  4. G. Ward, F. Rubinstein, and R. Clear, “A ray tracing solution for diffuse interre- flection,” Computer Graphics, vol. 22, no. 4, pp. 85–92, 1988.

    Article  Google Scholar 

  5. P. Shirley and C. Wang, “Distribution ray tracing: Theory and practice,” in Pro-ceedings of the Third Eurographics Workshop on Rendering, (Bristol, UK), pp. 33–43, May 1992.

    Google Scholar 

  6. M. Lee, R. Redner, and S. Uselton, “Statistically optimized sampling for distributed ray tracing,” Computer Graphics, vol. 19, no. 3, pp. 61–67, 1985.

    Article  Google Scholar 

  7. P. Shirley, Physically Based Lighting Calculations for Computer Graphics. PhD thesis, University of Illinois, Nov. 1990.

    Google Scholar 

  8. P. Shirley and C. Wang, “Direct lighting by monte carlo integration,” in Proceedings of the Second Eurographics Workshop on Rendering, ( Barcelona, Spain ), May 1991.

    Google Scholar 

  9. B. Lange, “The simulation of radiant light transfer with stochastic ray-tracing,” in Proceedings of the Second Eurographics Workshop on Rendering, ( Barcelona, Spain ), May 1931.

    Google Scholar 

  10. M. Kalos and P. Whitlock, Monte Carlo Methods. Wiley and Sons, 1986.

    Google Scholar 

  11. J. Hammersly and D. Handscomb, Monte Carlo Methods. Chapman and Hall, 1964.

    Google Scholar 

  12. Y. Shreider, The Monte Carlo Method. Pergamon Press, 1966.

    Google Scholar 

  13. E. Lafortune and Y. Willems, “Bi-directional path tracing,” in Proceedings of CompuGraphics, (Alvor, Portugal), pp. 145–153, Dec. 1993.

    Google Scholar 

  14. E. Lafortune and Y. Willems, “A theoretical framework for physically based rendering,” Computer Graphics Forum, vol. 13, pp. 97–107, June 1994.

    Article  Google Scholar 

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© 1995 EUROGRAPHICS The European Association for Computer Graphics

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Lafortune, E.P., Willems, Y.D. (1995). The Ambient Term as a Variance Reducing Technique for Monte Carlo Ray Tracing. In: Sakas, G., Müller, S., Shirley, P. (eds) Photorealistic Rendering Techniques. Focus on Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87825-1_12

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  • DOI: https://doi.org/10.1007/978-3-642-87825-1_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-87827-5

  • Online ISBN: 978-3-642-87825-1

  • eBook Packages: Springer Book Archive

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