NMF在古书画混合颜料光谱分析中的应用
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摘要
颜料分析是古书画保护修复的重要环节。高光谱技术由于其快速、无损等特点广泛应用在颜料分析中,但混合颜料分析仍然是难点。文章提出了一种基于非负矩阵分解(non-negative matrix factorization,NMF)的混合颜料光谱分析算法。该算法将混合颜料光谱视为多源信号的线性混合,首先利用NMF将混合光谱分离为若干个端元光谱,然后将端元光谱与颜料光谱库进行对比,确定端元光谱的颜料种类。模拟仿真数据以及实测混合颜料样本数据的实验结果表明,该算法能够准确地分离出混合颜料光谱的组成成分,为古书画混合颜料种类的鉴定提供依据。
Pigment analysis plays an important role in the protection and restoration of ancient calligraphy and painting. Hyperspectral technology is widely used in pigments analysis because of its fast and non-destructive characteristics, but the mixed pigment analysis is still difficult. A new spectral analysis algorithm for mixed pigments based on Non-negative Matrix Factorization(NMF)is proposed in this paper. In this algorithm, the mixed pigments spectrum is regarded as a linear mixing of multi-source signals. First, the mixed spectrum is separated into several end-element spectra by NMF, and then the end-element spectra are compared with the pigments spectral library to determine the types of pigments in the end-element spectra. The experimental results of simulated data and measured sample data of mixed pigments show that the algorithm can accurately separate the spectral components of mixed pigments, which can provide a basis for the identification of mixed pigments in ancient calligraphy and painting.
Pigment analysis plays an important role in the protection and restoration of ancient calligraphy and painting. Hyperspectral technology is widely used in pigments analysis because of its fast and non-destructive characteristics, but the mixed pigment analysis is still difficult. A new spectral analysis algorithm for mixed pigments based on Non-negative Matrix Factorization(NMF)is proposed in this paper. In this algorithm, the mixed pigments spectrum is regarded as a linear mixing of multi-source signals. First, the mixed spectrum is separated into several end-element spectra by NMF, and then the end-element spectra are compared with the pigments spectral library to determine the types of pigments in the end-element spectra. The experimental results of simulated data and measured sample data of mixed pigments show that the algorithm can accurately separate the spectral components of mixed pigments, which can provide a basis for the identification of mixed pigments in ancient calligraphy and painting.
引文
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[2]KOCK L D,DE W D.Raman analysis of ancient pigments on a tile from the citadel of algiers[J].Spectrochimica Acta Part A Molecular&Biomolecular Spectroscopy,2009,71(4):1348-1354.
[3]李志敏,王乐乐,张晓彤,等.便携式X射线荧光现场分析壁画颜料适用性研究:以西藏拉萨大昭寺壁画为例[J].中国文物科学研究,2013(4):64-67.
[4]王丽琴,党高潮,赵静.光导纤维反射光谱技术在彩绘文物颜料无损分析鉴定中的应用[J].光谱学与光谱分析,2008,28(8):1722-1725.
[5]补雅晶,万晓霞,李俊锋,等.基于可见光谱特征提取的敦煌壁画颜料识别方法研究[J].文物保护与考古科学,2017,29(3):45-51.
[6]武望婷,谭丽,侯妙乐,等.高光谱技术在书画检测中的应用研究:以王震《三秋图》为例[J].地理信息世界,2017(3):101-106.
[7]武锋强,杨武年,李丹.基于高光谱成像与拉曼技术的艺术画颜料成分对比检测研究[J].矿物学报,2014(2):166-170.
[8]ATREI A,BENETTI F,BRACCI S,et al.An integrated approach to the study of a reworked painting“Madonna with child”attributed to Pietro Lorenzetti[J].Journal of Cultural Heritage,2014,15(1):80-84.
[9]KESHAVAN,MUSTAR D J F.Spectralun mixing[J].IEEESignal Processing Magazine,2002,19(1):44-57.
[10]王润生,杨苏明,阎柏琨.成像光谱矿物识别方法与识别模型评述[J].国土资源遥感,2007,19(1):1-9.