【摘要】 金属漆颜料制品的光谱双向反射分布函数(BRDF)与其组成成分有关，快速准确重建出成分相近的金属漆颜料制品的光谱BRDF数据，对指导金属漆颜料制品的光谱BRDF建模，减少其光谱BRDF数据采集的人力物力成本具有重要意义。基于散射光谱加和性原理，提出了一种使用少数金属漆颜料制品的光谱BRDF数据重建出具有不同成分比例金属漆颜料制品的光谱BRDF数据的方法。该方法将金属漆颜料制品的光谱BRDF视为其各组成部分光谱BRDF的线性组合，通过求解线性方程组得出各组成部分的光谱BRDF,然后通过赋予各组成部分光谱BRDF不同的权重，采用加权求和方法重构出成分比例不同的金属漆颜料制品的光谱BRDF数据。实验中，以潘通金属色系列色卡中亮黄色系列的6个不同组成比例色卡为研究对象，使用比较测量方法测量得到了其在45°入射角度下，380～760 nm波长范围的半球反射空间的光谱双向反射分布函数(BRDF)值。然后选择其中两个色卡求解出该系色卡的基础成分的光谱BRDF数据，再通过赋予其基础成分的光谱BRDF数据不同的权重，重建出其他四个成分比例不同的色卡的光谱BRDF数据。实验结果表明，在45°入射角度和半球反射空间范围的几何条件下，重建出的四个色卡的光谱BRDF数据与实际测量的四个色卡的光谱BRDF数据具有较好的一致性，最小均方根误差可达0.057%,最大适应度系数可达99.998%。实验结果表明，所提出的方法具有精度较高，计算简单易实现的特点，可用于金属漆类颜料制品的光谱BRDF数据重建。更多还原

【Abstract】 The spectral bidirectional reflectance distribution function(BRDF) of metallic coatings is related to its composition. It is of great significance to reconstruct the BRDF data of metallic coatings with similar composition quickly and accurately, which can guide the modeling of BRDF and reduce the workforce and material cost of BRDF data acquisition for metallic coatings. In order to solve this problem, this paper innovatively proposes a method to reconstruct the BRDF data of metallic coatings with similar composition by using that of a few metallic coatings based on the additivity of the scattering spectrum. In this method, the BRDF of metallic coatings is regarded as the linear combination of the BRDF of each component, which can be obtained by solving the linear equations. Then, the weighted summation method is used to reconstruct the BRDF data of the metallic coatings with similar components by giving different weights to the BRDF of each component. In the experiment, we selected six different proportions of bright yellow color cards from Pantone metallic color as samples, and the BRDF values of each sample were measured at an incident angle of 45° and a hemispherical reflection space with the wavelength range of 380～760 nm by the comparative measurement method. Then two color cards were selected to obtain the BRDF data of the basic components, and the BRDF data of the other four color cards with similar components were reconstructed by giving different weights to the BRDF data of the basic components. The experimental results show that the BRDF data of the reconstructed four color cards agree with the measured BRDF data under the geometric conditions of 45° incident angle and hemispherical reflection space. The RMSE of prediction results of BRDF were all less than 0.057%, and the GFC were up to 99.998%. The experimental results show that the proposed method has the characteristics of high accuracy and simple calculation, and can be used for BRDF data reconstruction of metallic coatings.更多还原