Directional statistics BRDF model

  • Ko Nishino
  • Published 2009 in
    2009 IEEE 12th International Conference on…


We introduce a novel parametric 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 an isotropic BRDF with a mixture of it. The novel directional statistics BRDF model allows us to derive a canonical probabilistic method for estimating its parameters including the number of components. We show that the model captures the full spectrum of real-world isotropic BRDFs with accuracy comparable to non-parametric models but with a much more compact representation. We also experimentally show that the model achieves better accuracy with less measurements compared with such non-parametric models. We further demonstrate the advantages of the novel BRDF model by showing its use for reflection component separation and for exploring the space of isotropic BRDFs.

DOI: 10.1109/ICCV.2009.5459255

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@article{Nishino2009DirectionalSB, title={Directional statistics BRDF model}, author={Ko Nishino}, journal={2009 IEEE 12th International Conference on Computer Vision}, year={2009}, pages={476-483} }