基于散射光谱加和性的金属漆颜料制品的光谱双向反射分布函数重建研究

doi:10.3964/j.issn.1000-0593(2023)07-2043-07

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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。

关键词：金属漆颜料制品；散射光谱加和性；光谱BRDF重建

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.

Key words：Metallic coatings; Additivity of scattering spectrum; Reconstruction of BRDF

收稿日期: 2022-04-05 修订日期: 2022-07-29

中图分类号:

O433.4

基金资助: 国家自然科学基金项目（61975012）资助

通讯作者: 廖宁放 E-mail: liaonf@bit.edu.cn

作者简介: 邓辰阳，1988年生，北京理工大学颜色科学与工程国家专业实验室博士研究生 e-mail: 1286803494@qq.com

引用本文:

邓辰阳，廖宁放，李亚生，李玉梅. 基于散射光谱加和性的金属漆颜料制品的光谱双向反射分布函数重建研究[J]. 光谱学与光谱分析, 2023, 43(07): 2043-2049.
DENG Chen-yang, LIAO Ning-fang, LI Ya-sheng, LI Yu-mei. Reconstruction of Spectral Bidirectional Reflectance Distribution Function for Metallic Coatings Based on Additivity of Scattering Spectrum. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2023, 43(07): 2043-2049.

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[1] Liao Fei, Li Lin，Lu Changwen. Proceedings of SPIE, 2016, 10154: UNSP101541G.
[2] Packard C D, Viola T S，Klein M D. Proceedings of SPIE, 2017, 10432: UNSP1043208.
[3] Zhou Hongmin, Wang Zhe, Ma Wu, et al. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2022，15: 849.
[4] Yan Kai, Li Hanliang, Song Wanjuan, et al. IEEE Transactions on Geoscience and Remote Sensing, 2022，60: 4401816.
[5] Cook R L，Torrance K E. ACM Transactions on Graphics, 1982，1(1): 7.
[6] Torrance K E，Sparrow E M. Journal of the Optical Society of America, 1967, 57(9): 1105.
[7] WU Zhen-sen，XIE Dong-hui, XIE Pin-hua, et al（吴振森，谢东辉，谢品华，等）. Acta Optica Sinica（光学学报），2002, 22(8): 897.
[8] Claustres L, Boucher Y, Paulin M. Conference on Wavelet and Independent Component Analysis Applications IX. 2002. Orlando, Fl.
[9] YUAN Yan, SUN Cheng-ming, ZHANG Xiu-bao(袁艳, 孙成明, 张修宝). Acta Physica Sinica(物理学报), 2010，(3): 2097.
[10] Nicodemus F E, Richmond J C, Hsia J J, et al. National Bureau of Standards(U.S.). 1977.
[11] SONG Wei，MIAO Xin-hui，SHI Jing, et al（宋薇, 苗馨卉, 石晶, 等）. Spectroscopy and Spectral Analysis(光谱学与光谱分析), 2017，37(4): 1027.
[12] Li Hongsong, Chen Meng, Deng Chenyang, et al. Optical Engineering, 2019，58(12): 124106.
[13] WANG An-xiang, LIU Han-chen, ZHAI Xue-jun, et al(王安祥，刘汉臣，翟学军，等). Basic Sciences Journal of Textile Universities(纺织高校基础科学学报), 2006，(2)：156.
[14] Qin Feng, Yang Weiping, Yang Jia, et al. Proceedings of SPIE-The International Society for Optical Engineering, 2013，9045(4): 90451D.
[15] Izumi Nishidate, Takaaki Maeda, Kyuichi Niizeki, et al. Sensors(Basel, Switzerland), 2013，13(6): 7902.
[16] Agahian F，Funt B. Journal of the Optical Society of America A, 2014，31(7): 1445.