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

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

Ko Nishino and Stephen Lombardi
Journal of the Optical Society of America. A, Optics, image science, and vision, v 28(1)
01 Jan 2011
DOI: https://doi.org/10.1364/JOSAA.28.000008
PMID: 21200406

Abstract

Optics Physical Sciences Science & Technology
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. (C) 2010 Optical Society of America

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