Abstract

In this paper, a simultaneous sparsity representation-based binary hypothesis (S-SRBBH) model for target detection in hyperspectral image (HSI) is proposed. The S-SRBBH exploits the interpixel correlation within neighboring pixels in HSI, and then, each test pixel is represented by only the background dictionary (A <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">b</sub> ) under null hypothesis or from the union of A <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">b</sub> and target dictionary (A <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">t</sub> ) under alternative hypothesis. Usually, an inner window region (IWR) centered within an outer window region (OWR) contribute in constructing A <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">b</sub> . Indeed, the use of IWR has a huge effect on the detection performance since it encloses the targets of interests, but its use requires the information of the size of the targets which is usually hardly available. That is why, this paper also serves to construct A <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">b</sub> without IWR by exploiting the low-rank and sparse matrix decomposition (LRaSMD) technique to decompose the HSI into low-rank background HSI and sparse target HSI. Then for each test pixel, a concentric window is located on the low-rank background HSI, and all the pixels within the window contribute to form A <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">b</sub> . Two real HSIs are used to demonstrate that S-SRBBH achieves good target detection especially when the LRaSMD technique is exploited to construct A <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">b</sub> .

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