Semi-Supervised Hyperspectral Image Classification Using Spatio-Spectral Laplacian Support Vector Machine

In this letter, we propose a new spatio-spectral Laplacian support vector machine (SS-LapSVM) for semi-supervised hyperspectral image classification. The clustering assumption on spectral vectors is used to formulate a manifold regularizer, and neighborhood spatial constraints of hyperspectral images are designed to construct a spatial regularizer. Moreover, a non-iterative optimization procedure is presented to solve this dual-regularized SVM, which makes rapid classification possible. By combining spatial and spectral information together, SS-LapSVM can avoid the speckle-like misclassification of hyperspectral images in the original Lap-SVM. The performance of SS-LapSVM is evaluated on AVIRIS image data taken over Indiana´s Indian Pine, and the results show that it can achieve accurate and rapid classification with a small number of labeled data, and outperform state-of-the-art semi-supervised approaches.