A Copula-Based BRDF Model

Öztürk A., Kurt M. , Bilgili A.

COMPUTER GRAPHICS FORUM, vol.29, pp.1795-1806, 2010 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29
  • Publication Date: 2010
  • Doi Number: 10.1111/j.1467-8659.2010.01649.x
  • Title of Journal : COMPUTER GRAPHICS FORUM
  • Page Numbers: pp.1795-1806


In this paper, we introduce a novel approach for modeling surface reflection. We focus on using a family of probability distributions called Archimedean copulas as BRDF models. The Archimedean representation has an attractive property in that the multivariate distributions are characterized by their marginal distributions through a single univariate function only. It is shown that the proposed model meets the reciprocity property of reflection. Based on measured BRDF data, we demonstrate that the proposed approach provides a good approximation to BRDF. Empirical comparisons are made with some classically used BRDF models.