Spectral Correlation-Based Diverse Band Selection for Hyperspectral Image Classification

Abstract

Band selection which can reduce the spectral dimensionality effectively, has become one of the most popular topics in hyperspectral image (HSI) analysis. Recently, sparse representation based band selection (BS) has emerged as a popular tool. The existing sparse models mainly focus on minimizing reconstruction error and sparsity, while do not fully exploit the unique correlations among hundreds of continuous bands, which may cause representative bands missed and highly-correlated bands selected. Therefore, this paper proposes the spectral correlation based diverse band selection (SCDBS) for HSIs to improve representativeness and diversity of the selected bands. Specifically, a correlation derived weight is used to perform weighted sparse reconstruction to select the bands that are more correlated to the whole HSI, and a correlation minimization term is designed to remove the highly-correlated bands simultaneously. In addition, the proposed method imposes an adjustable sparse constraint by using an ℓ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2,0&lt;p≤1</sub> norm, which extends and unifies the commonly used ℓ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2,1</sub> norm to provide more flexible sparsity level. To optimize the proposed BS model, an iteration algorithm with relatively low computational cost is designed, of which the convergence is theoretically presented. Experimental results on three benchmark datasets have demonstrated that the proposed SCDBS outperforms state-of-the-art methods in HSI classification.