Hyperspectral Image Denoising With Group Sparse and Low-Rank Tensor Decomposition

Autor: Huali Li, Shutao Li, Jon Atli Benediktsson, Leyuan Fang, Zhihong Huang
Přispěvatelé: Rafmagns- og tölvuverkfræðideild (HÍ), Faculty of Electrical and Computer Engineering (UI), Verkfræði- og náttúruvísindasvið (HÍ), School of Engineering and Natural Sciences (UI), Háskóli Íslands, University of Iceland
Jazyk: angličtina
Rok vydání: 2018
Předmět:
General Computer Science
Rank (linear algebra)
Computer science
Noise reduction
0211 other engineering and technologies
02 engineering and technology
Iterative reconstruction
Myndvinnsla
Impulse noise
Matrix decomposition
Matrix (mathematics)
symbols.namesake
Hyperspectral image
denoising
0202 electrical engineering
electronic engineering
information engineering

General Materials Science
sparse and low-rank tensor decomposition
Tensor
021101 geological & geomatics engineering
Sparse matrix
Nonlocal similarity
Denoising
business.industry
General Engineering
Hyperspectral imaging
Pattern recognition
nonlocal similarity
Gaussian noise
Sparse and low-rank tensor decomposition
symbols
Physics::Accelerator Physics
020201 artificial intelligence & image processing
lcsh:Electrical engineering. Electronics. Nuclear engineering
Artificial intelligence
business
lcsh:TK1-9971
Zdroj: IEEE Access, Vol 6, Pp 1380-1390 (2018)
Popis: Hyperspectral image (HSI) is usually corrupted by various types of noise, including Gaussian noise, impulse noise, stripes, deadlines, and so on. Recently, sparse and low-rank matrix decomposition (SLRMD) has demonstrated to be an effective tool in HSI denoising. However, the matrix-based SLRMD technique cannot fully take the advantage of spatial and spectral information in a 3-D HSI data. In this paper, a novel group sparse and low-rank tensor decomposition (GSLRTD) method is proposed to remove different kinds of noise in HSI, while still well preserving spectral and spatial characteristics. Since a clean 3-D HSI data can be regarded as a 3-D tensor, the proposed GSLRTD method formulates a HSI recovery problem into a sparse and low-rank tensor decomposition framework. Specifically, the HSI is first divided into a set of overlapping 3-D tensor cubes, which are then clustered into groups by K-means algorithm. Then, each group contains similar tensor cubes, which can be constructed as a new tensor by unfolding these similar tensors into a set of matrices and stacking them. Finally, the SLRTD model is introduced to generate noisefree estimation for each group tensor. By aggregating all reconstructed group tensors, we can reconstruct a denoised HSI. Experiments on both simulated and real HSI data sets demonstrate the effectiveness of the proposed method.
This paper was supported in part by the National Natural Science Foundation of China under Grant 61301255, Grant 61771192, and Grant 61471167, in part by the National Natural Science Fund of China for Distinguished Young Scholars under Grant 61325007, in part by the National Natural Science Fund of China for International Cooperation and Exchanges under Grant 61520106001, and in part by the Science and Technology Plan Project Fund of Hunan Province under Grant 2015WK3001 and Grant 2017RS3024.
Databáze: OpenAIRE