Volume 29, Issue 6 pp. 1795-1806

A Copula-Based BRDF Model

Aydın Öztürk

Aydın Öztürk

Department of Computer Engineering, Yasar University, Turkey
[email protected]

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Murat Kurt

Murat Kurt

International Computer Institute, Ege University, Turkey
[email protected] , [email protected]

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Ahmet Bilgili

Ahmet Bilgili

International Computer Institute, Ege University, Turkey
[email protected] , [email protected]

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First published: 14 September 2010
Citations: 5

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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