Preliminary Study in Spectral Mixing Model of Mineral Pigments on Chinese Ancient Paintings-Take Azurite and Malachite for Example
LI Da-peng1, ZHAO Heng-qian1,2*, ZHANG Li-fu2*, ZHAO Xue-sheng1
1. College of Geoscience and Surveying Engineering, China University of Mining and Technology, Beijing 100083, China
2. State Key Laboratory of Remote Sensing Science, Institute of Remote Sensing and Digital Earth, Chinese Academy of Sciences, Beijing 100101, China
Abstract：Hyperspectral remote sensing technology is completely non-invasive for cultural relics, and suitable for identification and analysis of pigments of Chinese ancient paintings and other cultural relics, but the quantitative analysis of the mixed pigments composition in the ancient paintings is still a difficulty. For the mixed pigments phenomenon which often appears in Chinese ancient paintings, taking an example of azurite and malachite, two typical mineral pigments, we choose the two kinds of mineral pigment powder with the same size, precisely compound these two kinds of pigments to obtain pigment samples, and then obtain their spectra understrict control of experimental conditions . For mixed spectra, we use fully constrained least square method for spectral unmixing with full bands and use derivative of ratio spectroscopy for spectral unmixing with single band, then evaluate the unmixing accuracy, compare and analyze the unmixing results, and finally discuss the spectral mixing model of these two kinds of mineral pigments. Experimental results show that the spectral mixtures of azurite and malachite display strong nonlinear mixing characteristics overall, but are in accordance with linear mixing model in some strong linear bands. Using derivative of ratio method for spectral unmixing at these bands, we can achieve much higher unmixing accuracy than spectral unmixing with full bands.
Key words：Chinese ancient paintings; Mineral pigments; Spectral mixing model; Quantitative analysis
李大朋，赵恒谦，张立福，赵学胜. 中国古画矿物颜料光谱混合模型初探—以石青和石绿为例[J]. 光谱学与光谱分析, 2018, 38(08): 2612-2616.
LI Da-peng, ZHAO Heng-qian, ZHANG Li-fu, ZHAO Xue-sheng. Preliminary Study in Spectral Mixing Model of Mineral Pigments on Chinese Ancient Paintings-Take Azurite and Malachite for Example. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2018, 38(08): 2612-2616.
[1] ZHOU Ping-ping, HOU Miao-le, ZHAO Xue-sheng, et al(周平平，侯妙乐，赵学胜，等). Geomatics World(地理信息世界), 2017, 24(3): 113.
[2] WANG Hong-mei(王红梅). China Cultural Heritage Scientific Research(中国文物科学研究), 2011, 2: 85.
[3] XU Wen-juan(徐文娟). Sciences of Conservation and Archaeology(文物保护与考古科学), 2012, 24(S1): 41.
[4] ZHANG Liang-pei, ZHANG Li-fu(张良培，张立福). Hyperspectral Remote Sensing(高光谱遥感). Beijing: Surveying and Mapping Press(北京：测绘出版社), 2011.
[5] Yin Qinli, Lv Shuqiang. IEEE International Workshop on Earth Observation and Remote Sensing Applications, 2016: 174.
[6] CHEN Jin, MA Lei, CHEN Xue-hong, et al(陈 晋，马 磊，陈学泓，等). Journal of Remote Sensing(遥感学报), 2016, 20(5): 1102.
[7] Heylen R, Parente M, Gader P. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2014, 7(6): 1844.
[8] Heylen R, Gader P. IEEE Geoscience and Remote Sensing Letters, 2014, 11(7): 1195.
[9] WANG Run-sheng, GAN Fu-ping, YAN Bo-kun, et al(王润生，甘甫平，阎柏琨，等). Remote Sensing for Land and Resources(国土资源遥感), 2010, (1): 1.
[10] ZHAO Chun-hui, WANG Li-guo, QI Bin(赵春晖，王立国，齐 滨). Hyperspectral Remote Sensing Images Processing: Methods and Applications(高光谱遥感图像处理方法及应用). Beijing: Publishing House of Electronics Industry(北京：电子工业出版社), 2016.
[11] LIU Juan-juan, WANG Mao-zhi, GE Shi-guo, et al(刘娟娟，王茂芝，葛世国，等). Journal of Sichuan University of Science and Engineering·Natural Science Edition(四川理工学院学报·自然科学版), 2013, 26(3): 76.
[12] ZHAO Heng-qian, ZHANG Li-fu, CEN Yi, et al(赵恒谦，张立福，岑 奕，等). The Journal of Infrared and Millimeter Waves(红外与毫米波学报), 2013, 32(6): 563.
[13] HUANG Wen-xiang(黄文祥). Art Journal(美术学报), 2016, (4): 14.
