Low-rank decomposition on transformed feature maps domain for image denoising

Author(s):  
Qiong Luo ◽  
Baichen Liu ◽  
Yang Zhang ◽  
Zhi Han ◽  
Yandong Tang
2020 ◽  
Vol 12 (23) ◽  
pp. 3966
Author(s):  
Shangzhen Song ◽  
Yixin Yang ◽  
Huixin Zhou ◽  
Jonathan Cheung-Wai Chan

The accuracy of anomaly detection in hyperspectral images (HSIs) faces great challenges due to the high dimensionality, redundancy of data, and correlation of spectral bands. In this paper, to further improve the detection accuracy, we propose a novel anomaly detection method based on texture feature extraction and a graph dictionary-based low rank decomposition (LRD). First, instead of using traditional clustering methods for the dictionary, the proposed method employs the graph theory and designs a graph Laplacian matrix-based dictionary for LRD. The robust information of the background matrix in the LRD model is retained, and both the low rank matrix and the sparse matrix are well separated while preserving the correlation of background pixels. To further improve the detection performance, we explore and extract texture features from HSIs and integrate with the low-rank model to obtain the sparse components by decomposition. The detection results from feature maps are generated in order to suppress background components similar to anomalies in the sparse matrix and increase the strength of real anomalies. Experiments were run on one synthetic dataset and three real datasets to evaluate the performance. The results show that the performance of the proposed method yields competitive results in terms of average area under the curve (AUC) for receiver operating characteristic (ROC), i.e., 0.9845, 0.9962, 0.9699, and 0.9900 for different datasets, respectively. Compared with seven other state-of-the-art algorithms, our method yielded the highest average AUC for ROC in all datasets.


2018 ◽  
Vol 20 (10) ◽  
pp. 2659-2669 ◽  
Author(s):  
Jiandong Tian ◽  
Zhi Han ◽  
Weihong Ren ◽  
Xiai Chen ◽  
Yandong Tang

2017 ◽  
Vol 19 (5) ◽  
pp. 969-983 ◽  
Author(s):  
Hengyou Wang ◽  
Yigang Cen ◽  
Zhihai He ◽  
Ruizhen Zhao ◽  
Yi Cen ◽  
...  

Author(s):  
Chen Chen ◽  
Baochang Zhang ◽  
Alessio Del Bue ◽  
Vittorio Murino

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