2019
DOI: 10.1109/access.2019.2923255
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Local Low-Rank and Sparse Representation for Hyperspectral Image Denoising

Abstract: Hyperspectral image (HSI) denoising is a fundamental task in a plethora of HSI applications. Global low-rank property is widely adopted to exploit the spectral-spatial information of HSIs, providing satisfactory denoising results. In this paper, instead of adopting the global low-rank property, we propose to adopt a local low rankness for HSI denoising. We develop an HSI denoising method via local low-rank and sparse representation, under an alternative minimization framework. In addition, the weighted nuclear… Show more

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Cited by 15 publications
(5 citation statements)
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“…The low-rank data are projected back into the original space after denoising. In [81], a local low-rank and sparse representation (Local LRSR) was suggested based on a weighted nuclear norm for HSI denoising in the presence of Gaussian noise. Spectral linear unmixing techniques are also considered as a low-rank HSI denoiser [82].…”
Section: A Conventional Techniquesmentioning
confidence: 99%
“…The low-rank data are projected back into the original space after denoising. In [81], a local low-rank and sparse representation (Local LRSR) was suggested based on a weighted nuclear norm for HSI denoising in the presence of Gaussian noise. Spectral linear unmixing techniques are also considered as a low-rank HSI denoiser [82].…”
Section: A Conventional Techniquesmentioning
confidence: 99%
“…In recent years, new signal processing algorithms represented by compressed sensing and machine learning algorithms represented by deep learning have also been widely used in the field of image denoising. e works in [17][18][19][20] are based on the theory of compressed sensing and realize image reconstruction and denoising through the method of sparse representation. e works in [21][22][23][24] employ a variety of deep learning models for noise image processing and achieve a good denoising effect.…”
Section: Introductionmentioning
confidence: 99%
“…According to the sparse representation principle of human visual system, an image or a signal can be linearly represented by representation bases that are atoms of the dictionary. In the recent years, many research results have been achieved by applying the sparse representation method to the various applications which include image classification [1]- [3], image denoising [4], [5] and face recognition [6], [7]. The sparse representation based classification (SRC) [6] method has already been used to make robust face recognition successful and has achieved the amazing performance in face recognition.…”
Section: Introductionmentioning
confidence: 99%