A Non-Local Tensor Completion Algorithm Based on Weighted Tensor Nuclear Norm
In this paper, we proposed an image inpainting algorithm, including an interpolation step and a non-local tensor completion step based on a weighted tensor nuclear norm. Specifically, the proposed algorithm adopts the triangular based linear interpolation algorithm firstly to preform the observation...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/11/19/3250 |
| _version_ | 1797479704710610944 |
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| author | Wenzhe Wang Jingjing Zheng Li Zhao Huiling Chen Xiaoqin Zhang |
| author_facet | Wenzhe Wang Jingjing Zheng Li Zhao Huiling Chen Xiaoqin Zhang |
| author_sort | Wenzhe Wang |
| collection | DOAJ |
| description | In this paper, we proposed an image inpainting algorithm, including an interpolation step and a non-local tensor completion step based on a weighted tensor nuclear norm. Specifically, the proposed algorithm adopts the triangular based linear interpolation algorithm firstly to preform the observation image. Second, we extract the non-local similar patches in the image using the patch match algorithm and rearrange them to a similar tensor. Then, we use the tensor completion algorithm based on the weighted tensor nuclear norm to recover the similar tensors. Finally, we regroup all these recovered tensors to obtain the final recovered image. From the image inpainting experiments on color RGB images, we can see that the performance of the proposed algorithm on the peak signal-to-noise ratio (PSNR) and the relative standard error (RSE) are significantly better than other image inpainting methods. |
| first_indexed | 2024-03-09T21:49:38Z |
| format | Article |
| id | doaj.art-2313c096038f415e91959de877eba845 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-09T21:49:38Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-2313c096038f415e91959de877eba8452023-11-23T20:08:54ZengMDPI AGElectronics2079-92922022-10-011119325010.3390/electronics11193250A Non-Local Tensor Completion Algorithm Based on Weighted Tensor Nuclear NormWenzhe Wang0Jingjing Zheng1Li Zhao2Huiling Chen3Xiaoqin Zhang4College of Computer Science and Artificial Intelligence, Wenzhou University, Wenzhou 325000, ChinaCollege of Computer Science and Artificial Intelligence, Wenzhou University, Wenzhou 325000, ChinaCollege of Computer Science and Artificial Intelligence, Wenzhou University, Wenzhou 325000, ChinaCollege of Computer Science and Artificial Intelligence, Wenzhou University, Wenzhou 325000, ChinaCollege of Computer Science and Artificial Intelligence, Wenzhou University, Wenzhou 325000, ChinaIn this paper, we proposed an image inpainting algorithm, including an interpolation step and a non-local tensor completion step based on a weighted tensor nuclear norm. Specifically, the proposed algorithm adopts the triangular based linear interpolation algorithm firstly to preform the observation image. Second, we extract the non-local similar patches in the image using the patch match algorithm and rearrange them to a similar tensor. Then, we use the tensor completion algorithm based on the weighted tensor nuclear norm to recover the similar tensors. Finally, we regroup all these recovered tensors to obtain the final recovered image. From the image inpainting experiments on color RGB images, we can see that the performance of the proposed algorithm on the peak signal-to-noise ratio (PSNR) and the relative standard error (RSE) are significantly better than other image inpainting methods.https://www.mdpi.com/2079-9292/11/19/3250computer visionimage restorationlow-rank recoverynon-local denoisingtensor completion |
| spellingShingle | Wenzhe Wang Jingjing Zheng Li Zhao Huiling Chen Xiaoqin Zhang A Non-Local Tensor Completion Algorithm Based on Weighted Tensor Nuclear Norm Electronics computer vision image restoration low-rank recovery non-local denoising tensor completion |
| title | A Non-Local Tensor Completion Algorithm Based on Weighted Tensor Nuclear Norm |
| title_full | A Non-Local Tensor Completion Algorithm Based on Weighted Tensor Nuclear Norm |
| title_fullStr | A Non-Local Tensor Completion Algorithm Based on Weighted Tensor Nuclear Norm |
| title_full_unstemmed | A Non-Local Tensor Completion Algorithm Based on Weighted Tensor Nuclear Norm |
| title_short | A Non-Local Tensor Completion Algorithm Based on Weighted Tensor Nuclear Norm |
| title_sort | non local tensor completion algorithm based on weighted tensor nuclear norm |
| topic | computer vision image restoration low-rank recovery non-local denoising tensor completion |
| url | https://www.mdpi.com/2079-9292/11/19/3250 |
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