Abstract
In this paper we illustrate the use of the Beckmann model for surface analysis problem in computer vision. The Beckmann model is a physical model that describes the reflectance of light from rough surfaces. The parameter of the model is the surface slope, or ratio of the surface roughness to the correlation length. We show how this parameter may be estimated using pairs of surface images, subject to different illumination directions. With the parameter to hand, the Beckmann model may be used to perform photometric correction, and hence shape-from-shading may be applied to the rough surfaces. This model may also be used to re-illuminate the recovered surface. We present experiments to illustrate the utility of the method for each of these tasks.
This is a preview of subscription content, log in via an institution to check access.
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
Beckmann, P., Spizzochino, A.: The Scattering of Electromagnetic Waves from Rough Surfaces. Pergamon, New York (1963)
Bennett, J.M., Mattsson, L.: Introduction to Surface Roughness and Scattering, Optical Society of America, Washington, D.C., pp. 38–56 (1989)
Caron, J., Lafait, J., Andraud, C.: Scalar Kirchhoff’s Model for Light Scattering from Dielectric Random Rough Surfaces. Optics Communications 207, 17–28 (2002)
Ginneken, B.V., Stavridi, M., Koenderink, J.J.: Diffuse and Specular Reflectance from Rough Surfaces. Applied Optics 37(1), 130–139 (1998)
Nayar, S.K., Ikeuchi, K., Kanade, T.: Surface Reflection: Physical and Geometrical Perspectives. TPAMI 13(7), 611–634 (1991)
Ogilvy, J.A.: Theory of Wave Scattering from Random Rough Surfaces. Adam Hilger, Bristol (1991)
Ragheb, H., Hancock, E.R.: Lambertian Correction for Rough and Shiny Surfaces. In: Int’l Con. on Image Processing, vol. 2, pp. 553–556 (2002)
Torrance, K.E., Sparrow, E.M.: Theory for Off-Specular Reflection from Roughened Surfaces. J. Opt. Soc. Am. A 57, 1105–1114 (1967)
Vernold, C.L., Harvey, J.E.: A Modified Beckmann-Kirchoff Scattering Theory for Non-paraxial Angles. In: Scattering and Surface Roughness, Proc. SPIE, vol. 3426, pp. 51–56 (1998)
Wolff, L.B., Nayar, S.K., Oren, M.: Improved Diffuse Reflection Models for Computer Vision. Int’l J. Computer Vision 30(1), 55–71 (1998)
Worthington, P.L., Hancock, E.R.: New Constraints on Data-closeness and Needle-map consistency for SFS. TPAMI 21(11), 1250–1267 (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ragheb, H., Hancock, E.R. (2003). Rough Surface Correction and Re-illumination Using the Modified Beckmann Model. In: Petkov, N., Westenberg, M.A. (eds) Computer Analysis of Images and Patterns. CAIP 2003. Lecture Notes in Computer Science, vol 2756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45179-2_13
Download citation
DOI: https://doi.org/10.1007/978-3-540-45179-2_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40730-0
Online ISBN: 978-3-540-45179-2
eBook Packages: Springer Book Archive