结合两个三次函数的新表面反射率模型的应用

Q4 Engineering
Oleksandr Romanyuk, Yevhen Zavalniuk, Sergii Pavlov, Roman Chekhmestruk, Bondarenko Bondarenko, Tetiana Koval, Aliya Kalizhanova, Aigul Iskakova
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引用次数: 0

摘要

本文建立了基于两个三次双向反射分布函数组合的光反射模型。分析了颜色的主要成分和再现物体眩光的主要要求。介绍了Cook-Torrance、Bagher、Oren-Nayar、耦合Shirley反射模型的使用特点。考虑了高效率的Blinn-Phong模型的优点和缺点。证明了用低次函数逼近Blinn-Phong模型的必要性。确定了Blinn-Phong模型的三次多项式近似的特性。可以确定的是,这种近似的主要缺点是在眩光的衰减区,函数与参考函数的显著偏差。提出了两个三次函数的组合函数。第一个三次函数再现了眩光的震中,第二个三次函数取代了衰减区内的指定函数。建立了计算第二个函数系数的方程组。得到了两个三次函数连接点的计算公式。给出了基于三次函数的组合模型图。对合并后的三次函数和原始三次函数比较了强光震源区的最大相对误差、最大绝对误差和拐点处的相对误差。建立了与Blinn-Phong模型相结合的三次模型的绝对误差随亮度和角度值变化的三维图。比较了基于组合三次函数和原始三次函数的可视化结果。验证了所提出的反射模型提高了衰减区眩光形成的真实感。由此产生的组合反射模型提供了Blinn-Phong模型的高精度近似,并且由于使用了三次方函数,因此效率很高。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
NEW SURFACE REFLECTANCE MODEL WITH THE COMBINATION OF TWO CUBIC FUNCTIONS USAGE
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.
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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
40
审稿时长
10 weeks
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