NEW SURFACE REFLECTANCE MODEL WITH THE COMBINATION OF TWO CUBIC FUNCTIONS USAGE
Oleksandr Romanyuk
rom8591@gmail.comVinnytsia National Technical University (Ukraine)
http://orcid.org/0000-0002-2245-3364
Yevhen Zavalniuk
Vinnytsia National Technical University (Ukraine)
http://orcid.org/0009-0005-1202-4653
Sergii Pavlov
Vinnytsia National Technical University (Ukraine)
http://orcid.org/0000-0002-0051-5560
Roman Chekhmestruk
3D GENERATION UA (Ukraine)
http://orcid.org/0000-0002-5362-8796
Zlata Bondarenko
Vinnytsia National Technical University (Ukraine)
http://orcid.org/0000-0003-3339-0570
Tetiana Koval
Mykhailo Kotsiubynskyi State Pedagogical University (Ukraine)
http://orcid.org/0000-0002-3190-1181
Aliya Kalizhanova
University of Power Engineering and Telecommunications; Institute of Information and Computational Technologies MES CS RK (Kazakhstan)
http://orcid.org/0000-0002-5979-9756
Aigul Iskakova
Kazakh National Research Technical University named after K. I. Satpayev (Kazakhstan)
http://orcid.org/0000-0001-8043-819X
Abstract
In the article the model of light reflection based on the combination of two cubic bidirectional reflectance distribution functions is developed. The main components of color and the main requirements for reproducing the object`s glares are analyzed. The usage characteristics of Cook-Torrance, Bagher, Oren-Nayar, coupled Shirley reflection models are described. The advantages and disadvantages of the highly productive Blinn-Phong model are considered. The necessity of approximating the Blinn-Phong model by a function of low degree is justified. The characteristics of the cubic polynomial approximation of the Blinn-Phong model are determined. It was established that the main drawback of this approximation is a significant deviation of the function from the reference function in the glare’s attenuation zone. The combined function that combines two cubic functions is proposed. The first cubic function reproduces the glare’s epicenter, and the second replaces the specified function in the attenuation zone. A system of equations for calculating the coefficients of the second function was created. The formula for the connection point of two cubic functions is obtained. A graph of the developed combined model based on cubic functions is obtained. For the combined and original cubic functions a comparison of the maximum relative errors in the glare’s epicenter zone, the maximum absolute errors, and the relative errors at the inflection point was made. A three-dimensional plot of the absolute error of the combined cubic model from the Blinn-Phong model depending on the shininess and the angle value is built. Visualization results based on the combined and the original cubic functions are compared. It is confirmed that the proposed reflection model increases the realism of glare formation in the attenuation zone. The resulting combined reflection model provides a highly accurate approximation of the Blinn-Phong model and is highly efficient because the third power function is used.
Keywords:
bidirectional reflectance distribution function, cubic function, reflectance model, shading, combined functionReferences
Avrunin O. G., Tymkovych M. Y., Abdelhamid I. Y., Shushliapina N. O., Nosova Y. V., Semenets V. V.: Features of image segmentation of the upper respiratory tract for planning of rhinosurgical surgery. IEEE 39th International Conference on Electronics and Nanotechnology, ELNANO 2019, 485–488.
DOI: https://doi.org/10.1109/ELNANO.2019.8783739
Google Scholar
Bagher M.: Accurate fitting of measured reflectances using a Shifted Gamma micro-facet distribution. Computer Graphics Forum 31(4), 2012, 1509–1518.
DOI: https://doi.org/10.1111/j.1467-8659.2012.03147.x
Google Scholar
Han Yu. et al.: Learning a 3D Morphable Face Reflectance Model from Low-cost Data. arXiv: 2303.11686, 2023.
DOI: https://doi.org/10.1109/CVPR52729.2023.00831
Google Scholar
Jakob W. et al.: A Comprehansive Framework for Rendering Layered Materials. ACM Transactions on Graphics 33(4), 2014, 1–14.
DOI: https://doi.org/10.1145/2601097.2601139
Google Scholar
Kurt M.: Real-Time Shading with Phong BRDF Model. DEUFMD 21(63), 2019, 859–867.
Google Scholar
Liu H. et al.: Development of a Face Recognition System and Its Intelligent Lighting Compensation Method for Dark-Field Application. IEEE Transactions on Instrumentation and Measurement 70, 2021, 1–16.
DOI: https://doi.org/10.1109/TIM.2021.3111076
Google Scholar
Montes R., Urena C.: An Overview of BRDF Models. University of Granada, 2012.
Google Scholar
Romanyuk A. The Bidirectional Reflectance Distributive Function Classification Scientific Papers of Donetsk National Technical University 9, 2008,145–151.
Google Scholar
Romanyuk O., Chornyy A.: Vysokoproduktyvni metody ta zasoby zafarbovuvannya tryvymirnykh hrafichnykh ob”yektiv. UNIVERSUM-Vinnytsya, Vinnytsya, 2006.
Google Scholar
Romanyuk O.: Komp'yuterna hrafika: Navchal’nyy posibnyk. VDTU, Vinnytsya 1999.
Google Scholar
Romanyuk O. et al.: The Concept and Means of Adaptive Shading. 12th International Conference on Advanced Computer Information Technologies (ACIT), Ruzomberok, 2022, 33 –38.
DOI: https://doi.org/10.1109/ACIT54803.2022.9913105
Google Scholar
Romanyuk S., Pavlov S., Wójcik W. et al.: Using lights in a volume-oriented rendering. Proc. SPIE 10445, 2017, 104450U.
Google Scholar
Schill S. et al.: Temporal Modeling of Bidirectional Reflection Distribution Function (BRDF) in Coastal Vegetation. GIScience & Remote Sensing 41(2), 2004, 116–134.
DOI: https://doi.org/10.2747/1548-1603.41.2.116
Google Scholar
Tan P.: Phong Reflectance Model. Computer Vision, 2020, 1–3.
DOI: https://doi.org/10.1007/978-3-030-03243-2_536-1
Google Scholar
Thiele S. et al.: A Novel and Open-Source Illumination Correction for Hyperspectral Digital Outcrop Models. IEEE Transactions on Geoscience and Remote Sensing 60, 2022, 1–12.
DOI: https://doi.org/10.1109/TGRS.2021.3098725
Google Scholar
Wójcik W., Pavlov S., Kalimoldayev M.: Information Technology in Medical Diagnostics II. Taylor & Francis Group, CRC Press, Balkema book, London 2019.
DOI: https://doi.org/10.1201/9780429057618
Google Scholar
Wójcik W., Smolarz A.: Information Technology in Medical Diagnostics. CRC Press, 2017.
DOI: https://doi.org/10.1201/9781315098050
Google Scholar
Zavalniuk Ye. K. et al.: The development of the modified schlick model for the specular color component calculation. Information technology and computer engineering 55(3), 2022, 4–12.
DOI: https://doi.org/10.31649/1999-9941-2022-55-3-4-12
Google Scholar
Zou Ya. et al.: Developmental Trends in the Application and Measurement of the Bidirectional Reflection Distribution Function. Sensors 22 (5), 2022, 1739–1763.
DOI: https://doi.org/10.3390/s22051739
Google Scholar
Authors
Oleksandr Romanyukrom8591@gmail.com
Vinnytsia National Technical University Ukraine
http://orcid.org/0000-0002-2245-3364
Authors
Yevhen ZavalniukVinnytsia National Technical University Ukraine
http://orcid.org/0009-0005-1202-4653
Authors
Sergii PavlovVinnytsia National Technical University Ukraine
http://orcid.org/0000-0002-0051-5560
Authors
Zlata BondarenkoVinnytsia National Technical University Ukraine
http://orcid.org/0000-0003-3339-0570
Authors
Tetiana KovalMykhailo Kotsiubynskyi State Pedagogical University Ukraine
http://orcid.org/0000-0002-3190-1181
Authors
Aliya KalizhanovaUniversity of Power Engineering and Telecommunications; Institute of Information and Computational Technologies MES CS RK Kazakhstan
http://orcid.org/0000-0002-5979-9756
Authors
Aigul IskakovaKazakh National Research Technical University named after K. I. Satpayev Kazakhstan
http://orcid.org/0000-0001-8043-819X
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