A Copula‐Based BRDF Model

Articles > Article · 2010

Authors: Aydın Öztürk, Murat KURT, Ahmet Bilgili

Computer Graphics Forum, Journal Indexed in SCI Expanded, International, WoS, 2010, vol 29, pp 1795-1806

DOI: 10.1111/j.1467-8659.2010.01649.x

Summary

Abstract 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.

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