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Unmixing hyperspectral image pixels using Excel SOLVER

机译:使用Excel SOLVER取消混合高光谱图像像素

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Abstract: A variety of hyperspectral image pixel unmixing methods have been developed and are reported in the literature. This paper addresses the use of SOLVER, a constrained optimization technique, implemented as a feature in the Microsoft Excel software package. The method is illustrated on example data from the NEFDS spectral library. Hyperspectral imagery, i.e., imagery with more than a hundred spectral bands, has been shown to be particularly useful for identifying the material constituents of the are imaged. Since each pixel is a spectral signature, comparing that signature with a library of signatures for known materials allows each pixel's material to be identified as the one with the closest match. Since many measures of matching are used in the community, it is attractive that SOLVER allows the specification of any chosen objective function, including nonlinear expressions. This material identification process becomes an unmixing process when the pixel on the ground includes multiple materials; then the pixel is 'mixed' and no one library signature will match. Rather, a sum of library signatures, with appropriate coefficients of proportionality, that matches the pixel's signature must be determined. In this paper hypothetical pixel signatures are constructed from signatures selected from the NEFDS spectral signature library. These hypothetical signatures are then shown to respond well to SOLVER unmixing for diverse cases. !8
机译:摘要:已经开发了多种高光谱图像像素分解方法,并在文献中进行了报道。本文介绍了使用SOLVER(一种受限的优化技术)作为Microsoft Excel软件包中的一项功能实现的情况。在来自NEFDS光谱库的示例数据中说明了该方法。高光谱图像,即具有一百多个光谱带的图像,已被证明对于识别被成像的物质成分特别有用。由于每个像素都是光谱特征,因此可以将该特征与已知材料的特征库进行比较,从而可以将每个像素的材料标识为最匹配的材料。由于在社区中使用了许多匹配度量,因此SOLVER允许指定任何选定的目标函数(包括非线性表达式)的规范是很有吸引力的。当地面上的像素包含多种材料时,此材料标识过程将变为分解过程。那么像素将被“混合”,并且没有一个库签名会匹配。相反,必须确定与像素签名匹配的具有适当比例系数的库签名的总和。在本文中,假设的像素签名是根据从NEFDS光谱签名库中选择的签名构建的。然后,这些假设签名对各种情况下的SOLVER分解显示出良好的响应。 !8

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