Hybrid High-Order and Fractional-Order Total Variation with Nonlocal Regularization for Compressive Sensing Image Reconstruction
Total variation often yields staircase artifacts in the smooth region of the image reconstruction. This paper proposes a hybrid high-order and fractional-order total variation with nonlocal regularization algorithm. The nonlocal means regularization is introduced to describe image structural prior i...
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| Format: | Article |
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MDPI AG
2021-01-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/10/2/150 |
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| author | Lijia Hou Yali Qin Huan Zheng Zemin Pan Jicai Mei Yingtian Hu |
| author_facet | Lijia Hou Yali Qin Huan Zheng Zemin Pan Jicai Mei Yingtian Hu |
| author_sort | Lijia Hou |
| collection | DOAJ |
| description | Total variation often yields staircase artifacts in the smooth region of the image reconstruction. This paper proposes a hybrid high-order and fractional-order total variation with nonlocal regularization algorithm. The nonlocal means regularization is introduced to describe image structural prior information. By selecting appropriate weights in the fractional-order and high-order total variation coefficients, the proposed algorithm makes the fractional-order and the high-order total variation complement each other on image reconstruction. It can solve the problem of non-smooth in smooth areas when fractional-order total variation can enhance image edges and textures. In addition, it also addresses high-order total variation alleviates the staircase artifact produced by traditional total variation, still smooth the details of the image and the effect is not ideal. Meanwhile, the proposed algorithm suppresses painting-like effects caused by nonlocal means regularization. The Lagrange multiplier method and the alternating direction multipliers method are used to solve the regularization problem. By comparing with several state-of-the-art reconstruction algorithms, the proposed algorithm is more efficient. It does not only yield higher peak-signal-to-noise ratio (PSNR) and structural similarity (SSIM) but also retain abundant details and textures efficiently. When the measurement rate is 0.1, the gains of PSNR and SSIM are up to 1.896 dB and 0.048 dB respectively compared with total variation with nonlocal regularization (TV-NLR). |
| first_indexed | 2024-03-09T05:08:36Z |
| format | Article |
| id | doaj.art-f2e17c3ead024f32b1b18b75378c19a3 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-09T05:08:36Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-f2e17c3ead024f32b1b18b75378c19a32023-12-03T12:52:47ZengMDPI AGElectronics2079-92922021-01-0110215010.3390/electronics10020150Hybrid High-Order and Fractional-Order Total Variation with Nonlocal Regularization for Compressive Sensing Image ReconstructionLijia Hou0Yali Qin1Huan Zheng2Zemin Pan3Jicai Mei4Yingtian Hu5College of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, ChinaCollege of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, ChinaCollege of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, ChinaCollege of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, ChinaCollege of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, ChinaCollege of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, ChinaTotal variation often yields staircase artifacts in the smooth region of the image reconstruction. This paper proposes a hybrid high-order and fractional-order total variation with nonlocal regularization algorithm. The nonlocal means regularization is introduced to describe image structural prior information. By selecting appropriate weights in the fractional-order and high-order total variation coefficients, the proposed algorithm makes the fractional-order and the high-order total variation complement each other on image reconstruction. It can solve the problem of non-smooth in smooth areas when fractional-order total variation can enhance image edges and textures. In addition, it also addresses high-order total variation alleviates the staircase artifact produced by traditional total variation, still smooth the details of the image and the effect is not ideal. Meanwhile, the proposed algorithm suppresses painting-like effects caused by nonlocal means regularization. The Lagrange multiplier method and the alternating direction multipliers method are used to solve the regularization problem. By comparing with several state-of-the-art reconstruction algorithms, the proposed algorithm is more efficient. It does not only yield higher peak-signal-to-noise ratio (PSNR) and structural similarity (SSIM) but also retain abundant details and textures efficiently. When the measurement rate is 0.1, the gains of PSNR and SSIM are up to 1.896 dB and 0.048 dB respectively compared with total variation with nonlocal regularization (TV-NLR).https://www.mdpi.com/2079-9292/10/2/150total variationhigh-orderfractional-ordernonlocal means regularizationstaircase artifactthe alternating direction multipliers |
| spellingShingle | Lijia Hou Yali Qin Huan Zheng Zemin Pan Jicai Mei Yingtian Hu Hybrid High-Order and Fractional-Order Total Variation with Nonlocal Regularization for Compressive Sensing Image Reconstruction Electronics total variation high-order fractional-order nonlocal means regularization staircase artifact the alternating direction multipliers |
| title | Hybrid High-Order and Fractional-Order Total Variation with Nonlocal Regularization for Compressive Sensing Image Reconstruction |
| title_full | Hybrid High-Order and Fractional-Order Total Variation with Nonlocal Regularization for Compressive Sensing Image Reconstruction |
| title_fullStr | Hybrid High-Order and Fractional-Order Total Variation with Nonlocal Regularization for Compressive Sensing Image Reconstruction |
| title_full_unstemmed | Hybrid High-Order and Fractional-Order Total Variation with Nonlocal Regularization for Compressive Sensing Image Reconstruction |
| title_short | Hybrid High-Order and Fractional-Order Total Variation with Nonlocal Regularization for Compressive Sensing Image Reconstruction |
| title_sort | hybrid high order and fractional order total variation with nonlocal regularization for compressive sensing image reconstruction |
| topic | total variation high-order fractional-order nonlocal means regularization staircase artifact the alternating direction multipliers |
| url | https://www.mdpi.com/2079-9292/10/2/150 |
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