Skip to main content
SpringerLink
Log in

A Light Scattering Model for Layered Rough Surfaces

  • Conference paper
Image Analysis and Recognition (ICIAR 2006)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4142))

Included in the following conference series:

  • 1479 Accesses

Abstract

We develop a new model for the scattering of light from layered rough surfaces. The model contains a surface scattering component together with a subsurface scattering component. The former component corresponds to the roughness on the upper surface boundary and is modeled using the modified Beckmann model. The latter component accounts for both refraction due to Fresnel transmission through the layer and rough (Beckmann) scattering at the lower layer boundary. Depending on the type of surface, the contributions of the two scattering components to the total outgoing radiance can vary dramatically for different materials. This behavior is conveniently captured by allowing a balance parameter in the model. Our experiments with BRDF data from several types of surface and with different scales of roughness confirm that the new model outperforms alternative variants of the Beckmann model together with several alternative reflectance models.

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

Access this chapter

Log in via an institution
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. Beckmann, P., Spizzichino, A.: The Scattering of Electromagnetic Waves from Rough Surfaces. Pergamon, New York (1963)

    MATH  Google Scholar 

  2. Beckmann, P.: Scattering of Light by Rough Surfaces. In: Wolf, E. (ed.) Progress in Optics, vol. VI, pp. 55–69 (1967)

    Google Scholar 

  3. Caron, J., Lafait, J., Andraud, C.: Scalar Kirchhoff’s Model for Light Scattering from Dielectric Random Rough Surfaces. Optics Com. 207, 17–28 (2002)

    Article  Google Scholar 

  4. Chandrasekhar, S.: Radiative Transfer. Dover, New York (1960)

    Google Scholar 

  5. CUReT Database, http://www.cs.columbia.edu/CAVE/curet

  6. Dana, K.J., Nayar, S.K., van Ginneken, B., Koenderink, J.J.: Reflectance and Texture of Real-World Surfaces. In: Proc. IEEE CVPR, pp. 151–157 (1997)

    Google Scholar 

  7. Hanrahan, P., Krueger, W.: Reflectance from Layered Surfaces due to Subsurface Scattering. In: Computer Graphics, SIGGRAPH 1993 Proceedings, pp. 165–174 (1993)

    Google Scholar 

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

    Article  Google Scholar 

  9. Jensen, H.W., Marschner, S., Levoy, M., Hanrahan, P.: A Practical Model for Subsurface Light Transport. In: Proceedings of SIGGRAPH, pp. 511–518 (2001)

    Google Scholar 

  10. Lu, R., Koenderink, J., Kappers, A.: Optical properties of shot fabric. Applied Optics 39, 5785–5795 (2000)

    Article  Google Scholar 

  11. Kubelka, P.: New Contribution to the Optics of Intensely Light-Scattering Materials: Part I. J. Opt. Soc. Am. 38(5), 448–457 (1948)

    Article  MathSciNet  Google Scholar 

  12. Lafortune, E.P.F., Foo, S., Torrance, K.E., Greenberg, D.P.: Non-linear Approximation of Reflectance Functions. In: Proceedings of SIGGRAPH, pp. 117–126 (1997)

    Google Scholar 

  13. Matusik, W., Pfister, H., Brand, M., McMillan, L.: A Data-Driven Reflectance Model. ACM Transactions on Graphics 22(3), 759–769 (2003)

    Article  Google Scholar 

  14. Oren, M., Nayar, S.K.: Generalization of the Lambertian Model and Implications for Machine Vision. Int’l J. Computer Vision 14(3), 227–251 (1995)

    Article  Google Scholar 

  15. Ragheb, H., Hancock, E.: Testing New Variants of the Beckmann-Kirchhoff Model against Radiance Data. Computer Vision and Image Understanding 102(2), 145–168 (2006)

    Article  Google Scholar 

  16. Stam, J.: An Illumination Model for a Skin Layer Bounded by Rough Surfaces. In: Proc. Eurographics Workshop on Rendering, pp. 39–52 (2001)

    Google Scholar 

  17. Torrance, K.E., Sparrow, E.M.: Theory for Off-Specular Reflection from Roughened Surfaces. J. Opt. Soc. Am. 57(9), 1105–1114 (1967)

    Article  Google Scholar 

  18. Vernold, C.L., Harvey, J.E.: A Modified Beckmann-Kirchoff Scattering Theory for Non-paraxial Angles. In: Proceedings of the SPIE, vol. 3426, pp. 51–56 (1998)

    Google Scholar 

  19. Wolff, L.B.: Diffuse Reflectance Model for Smooth Dielectric Surfaces. J. Opt. Soc. Am. A 11(11), 2956–2968 (1994)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computer Engineering, Bu-Ali Sina University, Hamedan, Iran

    Hossein Ragheb

  2. Department of Computer Science, University of York, York, YO10 5DD, UK

    Edwin R. Hancock

Authors
  1. Hossein Ragheb
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Edwin R. Hancock
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Faculty of Engineering, Institute of Biomedical Engineering, Rua Dr. Roberto Frias, University of Porto, 4200-465, Porto, Portugal

    Aurélio Campilho

  2. Electrical and Computer Engineering Department, University of Waterloo,  

    Mohamed Kamel

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ragheb, H., Hancock, E.R. (2006). A Light Scattering Model for Layered Rough Surfaces. In: Campilho, A., Kamel, M. (eds) Image Analysis and Recognition. ICIAR 2006. Lecture Notes in Computer Science, vol 4142. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11867661_16

Download citation

  • DOI: https://doi.org/10.1007/11867661_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44894-5

  • Online ISBN: 978-3-540-44896-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation