Dimensionality reduction and classification for hyperspectral image based on robust supervised ISOMAP

ABSTRACT This study contributes to classification and recognition of hyperspectral image in industrial sorting, mineral identification, geological exploration, environmental survey, and other industrial production fields. The finding eliminates the redundancy of hyperspectral data and improves the classification accuracy of hyperspectral image. Hyperspectral remote sensing data are inherently nonlinear, and traditional linear dimensionality reduction methods cannot effectively reveal the nonlinear structure contained in the data. Manifold learning is a nonlinear dimensionality reduction method which has been developed rapidly in recent years. The intrinsic structure of the data is preserved by Isometric Feature Mapping (ISOMAP), but it is sensitive to noise and is not conducive to final classification. Prior studies neglected a higher dimensional manifold real structure in hyperspectral data dimensionality reduction due to lack of consideration credibility information and class information of samples in calculating manifold distance. This study proposes a Robust Supervised ISOMAP method. Data sample credibility mode is constructed, and a data similarity measure named triple geodesic distance is defined by introducing samples’ credibility information, class information, and neighborhood information. Triple geodesic distance fitting is proven. Multidimensional scaling analysis (MDS) and generalized regression neural network are used to construct the embedded coordinates of training samples and test samples. The results show that the proposed method has higher anti-noise performance than the traditional one. Also, the runtime is feasible, and can effectively improve the classification precision of the hyperspectral images, in comparison to traditional ISOMAP methods. The conclusion is that Robust Supervised ISOMAP is an effective nonlinear dimensionality reduction method for hyperspectral remote sensing image.