比值导数法矿物组分光谱解混模型研究

Research on the Model of Spectral Unmixing for Minerals Based on Derivative of Ratio Spectroscopy

矿物丰度含量的精确分析是高光谱遥感技术定量分析中的难点。将化学领域的比值导数光谱算法进行总结,将其引入遥感反射率光谱分析,提出了基于线性光谱混合模型的比值导数光谱解混模型,并利用石膏和绿帘石粉末混合物进行了模型的精度分析。实验结果表明,矿物粉末混合物在不同波段其光谱混合特性有所不同,其中部分波段有较强的线性混合特征。采用部分强线性混合波段进行光谱解混,可以取得比全波段解混算法更好的结果。比值导数法光谱解混模型简洁,可以得到高精度的矿物成分反演结果,对于固定端元组成的混合光谱定量分析有较大潜力。

The precise analysis of mineral abundance is a key difficulty in hyperspectral remote sensing research.In the present paper,based on linear spectral mixture model,the derivative of ratio spectroscopy（DRS） was introduced for spectral unmixing of visible to short-wave infrared（Vis-SWIR;0.4~2.5 μm） reflectance data.The mixtures of different proportions of plaster and allochite were analyzed to estimate the accuracy of the spectral unmixing model based on DRS.For the best 5 strong linear bands,the Pearson correlation coefficient（PCC） of the abundances and the actual abundances were higher than 99.9%,while the root mean square error（RMSE） is less than 2.2%.The result shows that the new spectral unmixing model based on DRS is simple,of rigorous mathematical proof,and highly precise.It has a great potential in high-precision quantitative analysis of spectral mixture with fixed endmembers.