基于Cayley-Menger行列式的高光谱遥感图像端元提取方法
提出了一种基于Cayley-Menger行列式的快速端元提取算法.该算法的目标是寻找包含高光谱数据集的最小体积的单形体.与其它基于单形体几何的算法相比,该方法具有诸多优点.首先,Cayley-Manger行列式的引入使得算法可以便捷地利用Hermite矩阵的特点大大加速搜索过程,进而得到一个稳定的最终解.其次,该算法无须对数据进行降维处理,从而可以避免因数据降维而造成的有用信息的丢失.仿真和实际高光谱数据的实验结果表明,所提出的算法在获得准确解的同时,具有非常快的收敛速度....
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| Published in | 红外与毫米波学报 Vol. 31; no. 3; pp. 265 - 270 |
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| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
复旦大学波散射与遥感信息教育部重点实验室,上海200433
2012
复旦大学,上海,200433%复旦大学,上海200433 |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1001-9014 |
| DOI | 10.3724/SP.J.1010.2012.00265 |
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| Summary: | 提出了一种基于Cayley-Menger行列式的快速端元提取算法.该算法的目标是寻找包含高光谱数据集的最小体积的单形体.与其它基于单形体几何的算法相比,该方法具有诸多优点.首先,Cayley-Manger行列式的引入使得算法可以便捷地利用Hermite矩阵的特点大大加速搜索过程,进而得到一个稳定的最终解.其次,该算法无须对数据进行降维处理,从而可以避免因数据降维而造成的有用信息的丢失.仿真和实际高光谱数据的实验结果表明,所提出的算法在获得准确解的同时,具有非常快的收敛速度. |
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| Bibliography: | hyperspectral unmixing ; Cayley-Menger determinant; auxiliary height; minimum volume ; simplex 31-1577/TN PU Han-Ye, WANG Bin , ZHANG Li-Ming （ 1. Department of Electronic Engineering, Fudan University, Shanghai 200433, China; 2. The Key Laboratory of Wave Scattering and Remote Sensing Information （ Ministry of Education）, Fudan University, Shanghai 200433, China） A fast Cayley-Menger determinant-based endmember extraction algorithm for hyperspectral unmixing was proposed. The algorithm is to find the simplex enclosing the hyperspectral data with minimum volume. It improves current simplex-based algorithms in several aspects. The introduction of Cayley-Menger determinant makes it easy to use features of Hermite matrix to accelerate the searching process and gives a stable result finally. Moreover, a dimensionality reduction transform is not necessary in this algorithm, which will avoid the loss of useful information during the dimensionality reduction. The experimental results on synthetic and real hyperspectral |
| ISSN: | 1001-9014 |
| DOI: | 10.3724/SP.J.1010.2012.00265 |