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Bidirectional reflectance distribution function of specular surfaces with hemispherical pits.

Sylvia C Pont1, Jan J Koenderink

  • 1Helmholtz Institute, Princetonplein 5, 3584 CC Utrecht, The Netherlands. s.c.pont@phys.uu.nl

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|December 10, 2002
PubMed
Summary

This study models surfaces with macroscale roughness and microscale smoothness using spherical mirrors. Surface geometry, specifically pit depth, dictates scattering direction, with deep pits causing backscattering and shallow pits causing forward scattering.

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Area of Science:

  • Optics
  • Surface Science
  • Computer Vision

Background:

  • Understanding light-surface interactions is crucial for applications in remote sensing, computer graphics, and material science.
  • Existing models often simplify surface topography, limiting their accuracy for complex real-world surfaces.

Purpose of the Study:

  • To derive the bidirectional reflectance distribution function (BRDF) for surfaces with macroscale roughness and microscale smoothness.
  • To model such surfaces as a distribution of spherical mirrors and analyze their optical properties.

Main Methods:

  • The study employs geometrical optics, simplifying the 3D problem to a 2D one by considering reflections within spherical mirrors.
  • The model focuses on the aperture of concavities, irrespective of their absolute dimension.

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Main Results:

  • Surfaces with deep pits exhibit strong backscattering, while those with shallow pits show forward scattering.
  • Multiple reflections lead to spectral effects, and surface orientation causes polarization effects.

Conclusions:

  • The spherical mirror model accurately describes BRDF for a specific class of surfaces.
  • This model offers an exact treatment for physically realizable geometries, outperforming previous models like the locally diffuse thoroughly pitted surface model.