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Total-Variation-Regularized Low-Rank Matrix Factorization for Hyperspectral Image Restoration

发布日期:2016-12-01 18:27:39 阅读次数:[2053]次 作者:

核心提示:来源出版物: IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING

作者: He, W (He, Wei); Zhang, HY (Zhang, Hongyan); Zhang, LP (Zhang, Liangpei); Shen, HF (Shen, Huanfeng)
来源出版物: IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING  卷: 54  期: 1  页: 176-188  DOI: 10.1109/TGRS.2015.2452812  出版年: JAN 2016
摘要: In this paper, we present a spatial spectral hyperspectral image (HSI) mixed-noise removal method named total variation (TV)-regularized low-rank matrix factorization (LRTV). In general, HSIs are not only assumed to lie in a low-rank subspace from the spectral perspective but also assumed to be piecewise smooth in the spatial dimension. The proposed method integrates the nuclear norm, TV regularization, and L-1-norm together in a unified framework. The nuclear norm is used to exploit the spectral low-rank property, and the TV regularization is adopted to explore the spatial piecewise smooth structure of the HSI. At the same time, the sparse noise, which includes stripes, impulse noise, and dead pixels, is detected by the L-1-norm regularization. To tradeoff the nuclear norm and TV regularization and to further remove the Gaussian noise of the HSI, we also restrict the rank of the clean image to be no larger than the number of endmembers. A number of experiments were conducted in both simulated and real data conditions to illustrate the performance of the proposed LRTV method for HSI restoration.


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