Aydin ÖztürkMurat KurtAhmet BilgiliKurt, MuratBilgili, AhmetOzturk, Aydin2025-10-06201014678659, 016770550167-70551467-865910.1111/j.1467-8659.2010.01649.x2-s2.0-77956626472https://www.scopus.com/inward/record.uri?eid=2-s2.0-77956626472&doi=10.1111%2Fj.1467-8659.2010.01649.x&partnerID=40&md5=7c0ac59cbcc8c9ac35d2a75838a93d3fhttps://gcris.yasar.edu.tr/handle/123456789/10306https://doi.org/10.1111/j.1467-8659.2010.01649.xIn 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. © 2010 The Eurographics Association and Blackwell Publishing Ltd. © 2018 Elsevier B.V. All rights reserved.Englishinfo:eu-repo/semantics/closedAccessBrdf Representation, Copula Distributions, Reflection Models, Rendering, Distribution Functions, Brdf Representation, Copula Distributions, Empirical - Comparisons, Marginal Distribution, Multivariate Distributions, Reflection Models, Rendering, Univariate Functions, Probability DistributionsDistribution functions, BRDF representation, copula distributions, Empirical - comparisons, Marginal distribution, Multivariate distributions, Reflection Models, rendering, Univariate functions, Probability distributionsRenderingReflection ModelsBRDF RepresentationCopula DistributionsArticle