Development of a physically correct model of reflection of the second degree

Authors

  • E.K. Zavalnyuk Vinnytsia National Technical University
  • O.N. Romanyuk Vinnytsia National Technical University
  • S.V. Pavlov Vinnytsia National Technical University
  • R.P. Shevchuk Western Ukrainian National University
  • T.I. Korobeinikova Lviv Polytechnic National University

DOI:

https://doi.org/10.31649/1681-7893-2022-44-2-19-25

Keywords:

bidirectional reflectance distribution function, physically correct light reflectance models, energy conservation law

Abstract

In this article the development of physically correct light reflectance model which is based on the modified Schlick model is discussed. The advantages and disadvantages of main empirical reflectance models are discussed. The necessity of development of the new physically correct bidirectional reflectance distribution functions is shown. The main steps of normalizing coefficient calculation for the modified Schlick model are discussed. The ideal normalizing coefficient values depending on the surface specularity coefficient  were calculated. The formula of dependence between coefficient value and  was discovered. The absolute error value between  and hemispherical integral reflectivity value was calculated for the interval
 n ∈ [2,1000].

Author Biographies

E.K. Zavalnyuk, Vinnytsia National Technical University

student

O.N. Romanyuk, Vinnytsia National Technical University

Ph.D., professor, head of the software department

S.V. Pavlov, Vinnytsia National Technical University

Ph.D., professor of the Department of Biomedical Engineering and Optical-Electronic Systems

R.P. Shevchuk, Western Ukrainian National University

Ph.D., associate professor of the Department of Computer Sciences

T.I. Korobeinikova, Lviv Polytechnic National University

Ph.D., associate professor of the Department of Information Technology Security

References

O. N. Romanyuk, and A. V. Chornyi, High-performance methods and tools for painting three-dimensional graphic objects, Vinnytsia, Ukraine: UNIVESUM-Vinnytsia, 2006.

O. N. Romaniuk, Computer graphics. Tutorial. Vinnytsia: UNIVESUM-Vinnytsia, 2001.

O. N. Romaniuk, "Classification of distribution functions of surface reflectivity", Scientific works of Donetsk National Technical University. Ser.: Informatics, cybernetics and computer technology. Vol. 9. p. 145-151, 2008.

O. Romanuyk, and A. Chernij, “Methods for Specular Color Component Accelerated Calculation”, IEEE Workshop on Intelligent Data Acquisition and Advanced Computing systems: Technology and Applications. Sofia, pp. 615—619, 2005.

S.O. Romanyuk, S.V. Pavlov and I.V. Abramchuk. "A model for reproducing the specular component of color in the formation of highly realistic biomedical images", Measurement and computing technology in technological processes No. 3, 2016. P. 161-167,

Olexander N. Romanyuk, Sergii V. Pavlov, and etc. "A function-based approach to real-time visualization using graphics processing units", Proc. SPIE 11581, Photonics Applications in Astronomy, Communications, Industry, and High Energy Physics Experiments 2020, 115810E (14 October 2020); https://doi.org/10.1117/12.2580212.

Leonid I. Timchenko, Natalia I. Kokriatskaia, Sergii V. Pavlov, and etc. "Q-processors for real-time image processing", Proc. SPIE 11581, Photonics Applications in Astronomy, Communications, Industry, and High Energy Physics Experiments 2020, 115810F (14 October 2020); https://doi.org/10.1117/12.2580230.

E. K. Zavalnyuk., O. N. Romanyuk., V. V. Voitko, O. V. Romanyuk, A. V. Snigur. Development of a modified Schlick model for determining the specular component of color, Information technologies and computer engineering, 2022, no. 3, P. 4-12.

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Published

2023-01-20

How to Cite

[1]
E. Zavalnyuk, O. Romanyuk, S. Pavlov, R. Shevchuk, and T. Korobeinikova, “Development of a physically correct model of reflection of the second degree”, Опт-ел. інф-енерг. техн., vol. 44, no. 2, pp. 19–25, Jan. 2023.

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Section

OptoElectronic/Digital Methods and Systems for Image/Signal Processing

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