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Hyperspectral image (HSI) inpainting is a fundamental task in remote sensing image processing, which is helpful for subsequent applications such as classification and unmixing. Recently, tensor-train decomposition (TTD)-based low-rank methods have achieved great success in image inpainting because of the balanced tensor unfolding and the use of tensor augmentation (TA). However, the TTD algorithm only performs TA on the third mode, and cannot effectively mine the spectral domain information of HSIs. Aiming at this problem, this article extends TA to each mode of the tensor and proposes a full-mode-augmentation TT decomposition (FTTD). More precisely, the HSI is cast along each mode to get a 3-D $N$ th-order tensor sequence, and all the tensors in the sequence are performed TTD to get $3N$ factor tensors that model the correlation on various modes. Then, the full-mode-augmentation tensor unfolding method is given by performing TT unfolding on each $N$ th-order tensor. We implement FTTD by minimizing the rank of the unfolding matrix and thus provide the tensor completion framework based on full-mode-augmentation tensor-train rank minimization. Finally, using the framework, we optimize the current two classical iterative algorithms nuclear norm minimization and parallel matrix decomposition. These two algorithms utilize the unfolding matrices in the framework to effectively mine spatial and spectral information, thereby making the restored tensor more approximate to the original HSI. Experiments on various HSIs have shown that the proposed method outperforms compared methods in terms of visual and quantitative measures.

In this paper, hierarchical, freestanding bowl-like NiCo2O4growing directly on carbon fiber paper (NiCo2O4@CFPs) are designed and synthesized through a controllable and facile electro-deposition combined with hard template method, and then applied as air electrode for long-life Lithium-O2batteries. This novel air electrode could deliver a high discharge capacity of 9624.2 mAh g−1, low discharge/charge over-potentials (over-potential gap < 1.0 V), excellent cycleability (∼100 cycles). Moreover, it exhibits extraordinarily rate capability and reversibility. Specifically, amorphous nanosheet-like Li2O2have been observed as the main discharge products, which might be tailored by the special bowl-like catalyst. The excellent cell performances could be ascribed to the special open structure of the synthesized bowl-like catalyst, which could provide large specific surface area, enough space for accommodating the discharge products and facilitate the transport of oxygen and electrolyte in the Lithium-O2batteries. This facile, low-cost synthesis approach further sheds light on fabrication of various hierarchical bowl-like air electrodes including metal oxides, metals or their hybrids, and possesses promising applications on metal-air batteries and fuel cells.

With development of time grating technology in the past 10 years, the theory of using time to measure spatial displacement has been completed greatly. In the study of time grating, one novel linear displacement sensor is proposed based on the measurement principles of time grating. The measurement principles of linear displacement are similar to that of angular displacement. Both of them need one endless coordinate with uniform velocity. The theory of linear AC motor is used, and the three-phase winding with equal division space of 120° and three-phase exciting signal with uniform time are utilized to generate the endless moving coordinate with uniform velocity. The magnetic traveling wave arises from the left endpoint and disappears in the right endpoint, and it travels pole pitch distance of W during the periodic time of T with the uniform velocity. When magnetic traveling wave passes by the static probe and the moving probe, the electric signals will be induced on the winding, respectively. Therefore, the linear displacement can be achieved by comparing the phase between the two output induced signals from he static probe and the moving probe. Furthermore, in order to improve the machining technique, four kinds of winding framework are designed to employ. The experimental results show that advantages and disadvantages both exist in the design methods and the precision of experiment results reaches ±2µm. The next study plan is to choose the most excellent design method through further experiments and improve the precision of displacement sensor greatly.