Skip to main content

A Monte Carlo Approach for the Cook-Torrance Model

  • Conference paper
Numerical Analysis and Its Applications (NAA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3401))

Included in the following conference series:

Abstract

In this work we consider the rendering equation derived from the illumination model called Cook-Torrance model. A Monte Carlo (MC) estimator for numerical treatment of the this equation, which is the Fredholm integral equation of second kind, is constructed and studied.

Supported by the EC through SEE-GRID project grant # RI-2002-002356 and by the NSF of Bulgaria through grant # I-1201/02.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Blinn, J.F.: Models of Light Reflection for Computer Synthesized Pictures. Computer Graphics 11(2), 192–198 (1977)

    Article  Google Scholar 

  2. Cook, R.L., Torrance, K.E.: A Reflectance Model for Computer Graphics. ACM Transactions on Graphics 1(1), 7–24 (1982)

    Article  Google Scholar 

  3. Hall, R.A., Greenberg, D.P.: A Testbed for Realistic Image Synthesis. IEEE Computer Graphics and Applications 3(8), 10–20 (1983)

    Article  Google Scholar 

  4. He, X.D., Torrance, K.E., Sillion, F., Greenberg, D.P.: A Comprehensive Physical Model for Light Reflection. Computer Graphics 25(4), 175–186 (1991)

    Article  Google Scholar 

  5. Kajiya, J.T.: The Rendering Equation, Computer Graphics. In: Proceedings of SIGGRAPH 1986, vol. 20(4), pp. 143–150 (1986)

    Google Scholar 

  6. Keller, A.: Quasi-Monte Carlo Methods in Computer Graphics: The Global Illumination Problem. Lectures in Applied Mathematics, vol. 32, pp. 455–469 (1996)

    Google Scholar 

  7. Phong, B.T.: Illumination for Computer Generated Pictures. Communication of the ACM 18(6), 311–317 (1975)

    Article  Google Scholar 

  8. Szirmay-Kalos, L.: Monte-Carlo Methods in Global Illumination, Script in WS of 1999/2000, http://www.fsz.bme.hu/~szirmay/script.pdf

  9. Ward, G.: Measuring and modeling anisotropic reflection Computer Graphics 26(2), 265–272 (1992)

    Google Scholar 

  10. Gurov, T.V., Whitlock, P.A.: An efficient backward Monte Carlo estimator for solving of a quantum kinetic equation with memory kernel. Math. & Comp. in Simul. 60, 85–105 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  11. Mikhailov, G.A.: New Monte Carlo Methods with Estimating Derivatives. Utrecht, The Netherlands (1995)

    Google Scholar 

  12. Dimov, I.: Minimization of the probable error for some Monte Carlo methods. In: Proc. of the Summer School on Math. Modeling and Sci. Computations, September 23-28, Albena, Bulgaria, pp. 159–170 (1990) (Publ. House of the Bulg. Acad. Sci.), Sofia (1991)

    Google Scholar 

  13. Penzov, A.A.: A Data Base Containing Spectral Data of Materials for Creating Realistic Images, Part 1: Theoretical Background, MTA SZTAKI, Report CG-1, Budapest (1992)

    Google Scholar 

  14. Penzov, A.A.: Shading and Illumination Models in Computer Graphics - a literature survey, MTA SZTAKI, Research Report CG-4, Budapest (1992)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dimov, I.T., Gurov, T.V., Penzov, A.A. (2005). A Monte Carlo Approach for the Cook-Torrance Model. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-31852-1_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24937-5

  • Online ISBN: 978-3-540-31852-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics