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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 30 — Oct. 20, 2009
  • pp: 5793–5801

Photometric model of diffuse surfaces described as a distribution of interfaced Lambertian facets

Lionel Simonot  »View Author Affiliations

Applied Optics, Vol. 48, Issue 30, pp. 5793-5801 (2009)

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The Lambertian model for diffuse reflection is widely used for the sake of its simplicity. Nevertheless, this model is known to be inaccurate in describing a lot of real-world objects, including those that present a matte surface. To overcome this difficulty, we propose a photometric model where the surfaces are described as a distribution of facets where each facet consists of a flat interface on a Lambertian background. Compared to the Lambertian model, it includes two additional physical parameters: an interface roughness parameter and the ratio between the refractive indices of the background binder and of the upper medium. The Torrance–Sparrow model—distribution of strictly specular facets—and the Oren–Nayar model—distribution of strictly Lambertian facets—appear as special cases.

© 2009 Optical Society of America

OCIS Codes
(120.5240) Instrumentation, measurement, and metrology : Photometry
(240.5770) Optics at surfaces : Roughness
(290.1990) Scattering : Diffusion
(330.1690) Vision, color, and visual optics : Color
(290.1483) Scattering : BSDF, BRDF, and BTDF

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: July 24, 2009
Revised Manuscript: September 15, 2009
Manuscript Accepted: September 21, 2009
Published: October 15, 2009

Lionel Simonot, "Photometric model of diffuse surfaces described as a distribution of interfaced Lambertian facets," Appl. Opt. 48, 5793-5801 (2009)

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