Nonparametric Spectral-Spatial Anomaly Detection

M. Imani
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Abstract

Due to abundant spectral information contained in the hyperspectral images, they are suitable data for anomalous targets detection. The use of spatial features in addition to spectral ones can improve the anomaly detection performance. An anomaly detector, called nonparametric spectral-spatial detector (NSSD), is proposed in this work which utilizes the benefits of spatial features and local structures extracted by the morphological filters. The obtained spectral-spatial hypercube has high dimensionality. So, accurate estimates of the background statistics in small local windows may not be obtained. Applying conventional detectors such as Local Reed Xiaoli (RX) to the high dimensional data is not possible. To deal with this difficulty, a nonparametric distance, without any need to estimate the data statistics, is used instead of the Mahalanobis distance. According to the experimental results, the detection accuracy improvement of the proposed NSSD method compared to Global RX, Local RX, weighted RX, linear filtering based RX (LF-RX), background joint sparse representation detection (BJSRD), Kernel RX, subspace RX (SSRX) and RX and uniform target detector (RX-UTD) in average is 47.68%, 27.86%, 13.23%, 29.26%, 3.33%, 17.07%, 15.88%, and 44.25%, respectively.
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非参数光谱-空间异常检测
由于高光谱图像中含有丰富的光谱信息,是异常目标检测的理想数据。在光谱特征的基础上,利用空间特征可以提高异常检测的性能。本文提出了一种利用形态滤波器提取的空间特征和局部结构的优点的非参数光谱空间检测器(NSSD)。得到的光谱空间超立方体具有高维性。因此,可能无法在小的局部窗口中获得背景统计量的准确估计。应用传统的探测器如局部芦苇小力(RX)来处理高维数据是不可能的。为了解决这个问题,我们使用了一个不需要估计数据统计量的非参数距离来代替马氏距离。实验结果表明,与全局RX、局部RX、加权RX、基于线性滤波的RX (LF-RX)、背景联合稀疏表示检测(BJSRD)、核RX、子空间RX (SSRX)、RX和均匀目标检测器(RX- utd)相比,NSSD方法的检测准确率平均分别提高了47.68%、27.86%、13.23%、29.26%、3.33%、17.07%、15.88%和44.25%。
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