Modified cosine-quadratic reflectance model

Oleksandr Romanyuk; Volodymyr Lytvynenko; Yevhen Zavalniuk

doi:10.35784/iapgos.7384

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Published: Mar 31, 2025

DOI: https://doi.org/10.35784/iapgos.7384

Issue Vol. 15 No. 1 (2025)

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DOI

https://doi.org/10.35784/iapgos.7384

Authors

Oleksandr Romanyuk

rom8591@gmail.com

Vinnytsia National Technical University, Ukraine

https://orcid.org/0000-0002-2245-3364

Volodymyr Lytvynenko

immun56@gmail.com

Kherson National Technical University, Ukraine

https://orcid.org/0000-0002-1536-5542

Yevhen Zavalniuk

qq9272627@gmail.com

Vinnytsia National Technical University, Ukraine

https://orcid.org/0009-0005-1202-4653

Abstract

In the article, a new light reflectance model is proposed. The model is based on the modified cosine-quadratic bidirectional reflectance distribution function. The concept of bidirectional reflectance distribution function is analyzed. The disadvantages of existing physically accurate and empirical bidirectional reflectance distribution functions, including classical cosine-quadratic function, are discussed. The necessity of new empirical distributive functions development is justified. The comparison of double integrals of hemispherical reflectivity of reference Blinn function and classical cosine-quadratic function is provided. Based on the comparison, the new expression of cosine-quadratic distributive function calculation is obtained. The proposed expression makes it possible to significantly increase the accuracy of glare epicentre reproduction and is intended for use in highly productive three-dimensional rendering systems

Keywords:

bidirectional reflectance distribution function, rendering, shading, visualization

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Romanyuk, O., Lytvynenko, V., & Zavalniuk, Y. (2025). Modified cosine-quadratic reflectance model. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 15(1), 45–48. https://doi.org/10.35784/iapgos.7384

Modified cosine-quadratic reflectance model

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