Ahmet BilgiliAydin OzturkMurat KurtKurt, MuratBilgili, AhmetÖztürk, Aydin2025-10-0620110167-70551467-865910.1111/j.1467-8659.2011.02072.x2-s2.0-84872221376http://dx.doi.org/10.1111/j.1467-8659.2011.02072.xhttps://gcris.yasar.edu.tr/handle/123456789/6939https://doi.org/10.1111/j.1467-8659.2011.02072.xGenerating photo-realistic images through Monte Carlo rendering requires efficient representation of lightsurface interaction and techniques for importance sampling. Various models with good representation abilities have been developed but only a few of them have their importance sampling procedure. In this paper we propose a method which provides a good bidirectional reflectance distribution function (BRDF) representation and efficient importance sampling procedure. Our method is based on representing BRDF as a function of tensor products. Four-dimensional measured BRDF tensor data are factorized using Tucker decomposition. A large data set is used for comparing the proposed BRDF model with a number of well-known BRDF models. It is shown that the underlying model provides good approximation to BRDFs.Englishinfo:eu-repo/semantics/closedAccessBRDF representation, importance sampling, global illumination, rendering, Tucker decompositionAPPROXIMATIONRenderingTucker DecompositionGlobal IlluminationImportance SamplingBRDF RepresentationArticle