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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. 28, Iss. 1 — Jan. 1, 2011
  • pp: 8–18

Directional statistics-based reflectance model for isotropic bidirectional reflectance distribution functions

Ko Nishino and Stephen Lombardi  »View Author Affiliations


JOSA A, Vol. 28, Issue 1, pp. 8-18 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000008


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Abstract

We introduce a novel parametric bidirectional reflectance distribution function (BRDF) model that can accurately encode a wide variety of real-world isotropic BRDFs with a small number of parameters. The key observation we make is that a BRDF may be viewed as a statistical distribution on a unit hemisphere. We derive a novel directional statistics distribution, which we refer to as the hemispherical exponential power distribution, and model real-world isotropic BRDFs as mixtures of it. We derive a canonical probabilistic method for estimating the parameters, including the number of components, of this novel directional statistics BRDF model. We show that the model captures the full spectrum of real-world isotropic BRDFs with high accuracy, but a small footprint. We also demonstrate the advantages of the novel BRDF model by showing its use for reflection component separation and for exploring the space of isotropic BRDFs.

© 2011 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(290.1483) Scattering : BSDF, BRDF, and BTDF

ToC Category:
Scattering

History
Original Manuscript: September 14, 2010
Revised Manuscript: November 11, 2010
Manuscript Accepted: November 11, 2010
Published: December 16, 2010

Citation
Ko Nishino and Stephen Lombardi, "Directional statistics-based reflectance model for isotropic bidirectional reflectance distribution functions," J. Opt. Soc. Am. A 28, 8-18 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-1-8

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