Optical system visualization of combined reflectance model based on cubic and quadratic functions

Oleksandr Romanyuk; Yevhen Zavalniuk; Nataliia V. Titova; Oleksandr Kaduk; Waldemar Wójcik; Maksat Kalimoldayev; Zhazira Shermantayeva

doi:10.1117/12.3023138

20 December 2023 Optical system visualization of combined reflectance model based on cubic and quadratic functions

Oleksandr Romanyuk, Yevhen Zavalniuk, Nataliia V. Titova, Oleksandr Kaduk, Waldemar Wójcik, Maksat Kalimoldayev, Zhazira Shermantayeva

Author Affiliations +

Proceedings Volume 12985, Optical Fibers and Their Applications 2023; 129850C (2023) https://doi.org/10.1117/12.3023138
Event: Optical Fibers and Their Applications 2023, 2023, Lublin, Poland

Abstract

In the article the combined reflectance model based on quadratic and cubic polynomials is discussed. The main characteristics of physically accurate Torrance-Sparrow, Löw models and empirical Blinn, Phong, Schlick models are analyzed. The advantages and disadvantages of the cubic and quadratic Blinn-Phong model approximations are explored. The need in the development of new Blinn-Phong model approximation through combining the quadratic and cubic functions is justified. The cubic model is improved in order to improve the accuracy of Blinn-Phong model approximation in the attenuation zone. The formulas of the improved cubic model coefficients are simplified. The precise and approximated formulas for the calculation of connection point between quadratic and cubic functions are obtained. The productivity gain from the replacing the cubic function by the quadratic function in the glare’s epicenter zone is calculated. The absolute and relative errors of Blinn-Phong model approximation by the quadratic, cubic and the proposed model are compared. Through the visualization of the test figures “Teapot” and “Robot” the advantages of the proposed function usage for increasing the realism of glares formation are shown.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

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Oleksandr Romanyuk, Yevhen Zavalniuk, Nataliia V. Titova, Oleksandr Kaduk, Waldemar Wójcik, Maksat Kalimoldayev, and Zhazira Shermantayeva "Optical system visualization of combined reflectance model based on cubic and quadratic functions", Proc. SPIE 12985, Optical Fibers and Their Applications 2023, 129850C (20 December 2023); https://doi.org/10.1117/12.3023138

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KEYWORDS

Bidirectional reflectance transmission function

Reflectivity

Attenuation

Lawrencium

Visualization

Visual process modeling

3D modeling

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