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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 30, Iss. 5 — May. 1, 2013
  • pp: 854–858

Analytic expressions for the black-sky and white-sky albedos of the cosine lobe model

Christopher Goodin  »View Author Affiliations


JOSA A, Vol. 30, Issue 5, pp. 854-858 (2013)
http://dx.doi.org/10.1364/JOSAA.30.000854


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Abstract

The cosine lobe model is a bidirectional reflectance distribution function (BRDF) that is commonly used in computer graphics to model specular reflections. The model is both simple and physically plausible, but physical quantities such as albedo have not been related to the parameterization of the model. In this paper, analytic expressions for calculating the black-sky and white-sky albedos from the cosine lobe BRDF model with integer exponents will be derived, to the author’s knowledge for the first time. These expressions for albedo can be used to place constraints on physics-based simulations of radiative transfer such as high-fidelity ray-tracing simulations.

OCIS Codes
(160.4760) Materials : Optical properties
(290.1483) Scattering : BSDF, BRDF, and BTDF
(280.1350) Remote sensing and sensors : Backscattering

ToC Category:
Materials

History
Original Manuscript: September 7, 2012
Revised Manuscript: March 12, 2013
Manuscript Accepted: March 15, 2013
Published: April 10, 2013

Citation
Christopher Goodin, "Analytic expressions for the black-sky and white-sky albedos of the cosine lobe model," J. Opt. Soc. Am. A 30, 854-858 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-5-854

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