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Hyperspectral imagery is always composed of mixed pixels because of the limited spatial resolution of a sensor and the macroscopic/microscopic mixture of distinct substances. The linear mixing model (LMM) is proven to be simple and effective in extensive literature when the macroscopic mixture dominates the mixing process. But when the photons undergo multiple reflections before reaching the sensor, the LMM becomes invalid. In this circumstance, the bilinear mixture model (Bi-LMM), which considers secondary reflections with a bilinear term, is a viable alternative. However, the bilinear term in most existing Bi-LMMs is constructed based on the pre-estimated endmembers, and thus, most Bi-LMMs focus mainly on the abundance estimation. This may lead to inaccurate estimation of endmembers and abundances for a given hyperspectral image. In this article, we propose a multiobjective endmember extraction (Bi-MoEE) method within the bilinear mixture paradigm, which considers each secondary reflection as a virtual endmember. Then, Bi-MoEE selects real and virtual endmembers from an extended spectral library consisting of a standard spectral library and their virtual products. By imposing some intuitive constraints, the solution space is greatly reduced, and the multipoint crossover and restricted bit-flip mutation operators are specially designed. Finally, Bi-MoEE can efficiently obtain a set of tradeoff solutions by minimizing the unmixing residuals and the number of selected endmembers, and automatically determine the optimal solution with multiobjective decision-making techniques. Compared with some advanced endmember extraction methods, the proposed Bi-MoEE does not need to know the number of real endmembers. In addition, the time efficiency of Bi-MoEE is mainly related to the image size and the algorithmic parameters, and has little to do with the size of spectral library, thus facilitating the practical implementation of Bi-MoEE with regard to the oversized spectral library. The experiments on synthetic and real data sets demonstrated the excellent performance of Bi-MoEE.

The rapid development of remote sensing technology has enabled the acquisition of very high spatial resolution (VHR) multitemporal images in Earth observation. However, how to effectively exploit these existing data to accurately monitor land surface changes is still a challenging task. In this article, we propose an unsupervised scale-driven change detection (CD) framework for VHR images by jointly analyzing the spatial–spectral change information, which combines the advantages of deep feature learning and multiscale decision fusion. First, a well pretrained deep fully convolutional network (FCN) is used to automatically extract the deep spatial context information from the acquired images. Then, the uncertainty analysis incorporating the deep spatial feature and the image spectral feature is implemented to generate a pseudobinary change map. On this basis, it is easy to choose suitable samples to train an excellent support vector machine (SVM) classifier, thus detecting changes occurred on the ground. In addition, the multiscale superpixel segmentation technique is introduced to make full use of the spatial structural information, which takes an image-object as the basic analysis unit. Finally, a robust binary change map with high detection precision can be achieved by merging the CD results obtained at different scales. The impressive experimental results on four real data sets demonstrate the effectiveness and flexibility of the proposed framework.

Feature extraction (FE) is a crucial research area in hyperspectral image (HSI) processing. Recently, due to the powerful ability of deep learning (DL) to extract spatial and spectral features, DL-based FE methods have shown great potentials for HSI processing. However, most of the DL-based FE methods are supervised, and the training of them suffers from the absence of labeled samples in HSIs severely. The training issue of supervised DL-based FE methods limits their application on HSI processing. To address this issue, in this paper, a novel modified generative adversarial network (GAN) is proposed to train a DL-based feature extractor without supervision. The designed GAN consists of two components, which are a generator and a discriminator. The generator can focus on the learning of real probability distributions of data sets and the discriminator can extract spatial–spectral features with superior invariance effectively. In order to learn upsampling and downsampling strategies adaptively during FE, the proposed generator and discriminator are designed based on a fully deconvolutional subnetwork and a fully convolutional subnetwork, respectively. Moreover, a novel min–max cost function is designed for training the proposed GAN in an end-to-end fashion without supervision, by utilizing the zero-sum game relationship between the generator and discriminator. Besides, the proposed modified GAN replaces the original Jensen–Shannon divergence with the Wasserstein distance, aiming to mitigate the unstability and difficulty of the training of GAN frameworks. Experimental results on three real data sets validate the effectiveness of the proposed method.

With the sparse unmixing becoming increasingly popular recently, some advanced regularization algorithms have been proposed for settling this problem. However, they are limited by their “decision ahead of solution” attribute, i.e., the regularization parameters must be preset before the solution is obtained. In this paper, the sparse unmixing problem is first formulated as a two-phase multiobjective problem. The first phase simultaneously minimizes the unmixing residuals and the number of estimated endmembers for automatically finding the real active endmembers from the spectral library. A decomposition-based endmember selection algorithm considering the gene exchange in the population is specially designed for better and quicker search of the decision space. This algorithm can obtain a set of nondominated solutions for better decision of the active endmembers, which are important for the subsequent calculation of the abundance matrix. The second phase concurrently minimizes the unmixing residuals and the total variation term for estimating a preferable abundance matrix. A local search strategy based on the multiplicative update rule is designed in the evolution process for better approximation of the Pareto front. The experimental results on the synthetic as well as the real data reveal that the proposed framework has a better performance in finding the real active endmembers and estimating their corresponding abundances than some advanced regularization algorithms.

Band selection is an important preprocessing step for hyperspectral image processing. Many valid criteria have been proposed for band selection, and these criteria model band selection as a single-objective optimization problem. In this paper, a novel multiobjective model is first built for band selection. In this model, two objective functions with a conflicting relationship are designed. One objective function is set as information entropy to represent the information contained in the selected band subsets, and the other one is set as the number of selected bands. Then, based on this model, a new unsupervised band selection method called multiobjective optimization band selection (MOBS) is proposed. In the MOBS method, these two objective functions are optimized simultaneously by a multiobjective evolutionary algorithm to find the best tradeoff solutions. The proposed method shows two unique characters. It can obtain a series of band subsets with different numbers of bands in a single run to offer more options for decision makers. Moreover, these band subsets with different numbers of bands can communicate with each other and have a coevolutionary relationship, which means that they can be optimized in a cooperative way. Since it is unsupervised, the proposed algorithm is compared with some related and recent unsupervised methods for hyperspectral image band selection to evaluate the quality of the obtained band subsets. Experimental results show that the proposed method can generate a set of band subsets with different numbers of bands in a single run and that these band subsets have a stable good performance on classification for different data sets.