A Convex Constraint Variational Method for Restoring Blurred Images in the Presence of Alpha-Stable Noises
Blurred image restoration poses a great challenge under the non-Gaussian noise environments in various communication systems. In order to restore images from blur and alpha-stable noise while also preserving their edges, this paper proposes a variational method to restore the blurred images with alp...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-04-01
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| Series: | Sensors |
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| Online Access: | http://www.mdpi.com/1424-8220/18/4/1175 |
| _version_ | 1811186357144387584 |
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| author | Zhenzhen Yang Zhen Yang Guan Gui |
| author_facet | Zhenzhen Yang Zhen Yang Guan Gui |
| author_sort | Zhenzhen Yang |
| collection | DOAJ |
| description | Blurred image restoration poses a great challenge under the non-Gaussian noise environments in various communication systems. In order to restore images from blur and alpha-stable noise while also preserving their edges, this paper proposes a variational method to restore the blurred images with alpha-stable noises based on the property of the meridian distribution and the total variation (TV). Since the variational model is non-convex, it cannot guarantee a global optimal solution. To overcome this drawback, we also incorporate an additional penalty term into the deblurring and denoising model and propose a strictly convex variational method. Due to the convexity of our model, the primal-dual algorithm is adopted to solve this convex variational problem. Our simulation results validate the proposed method. |
| first_indexed | 2024-04-11T13:44:13Z |
| format | Article |
| id | doaj.art-8837fc9311a8471d87d8f0ad606f31fa |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-11T13:44:13Z |
| publishDate | 2018-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-8837fc9311a8471d87d8f0ad606f31fa2022-12-22T04:21:08ZengMDPI AGSensors1424-82202018-04-01184117510.3390/s18041175s18041175A Convex Constraint Variational Method for Restoring Blurred Images in the Presence of Alpha-Stable NoisesZhenzhen Yang0Zhen Yang1Guan Gui2National Engineering Research Center of Communication and Network Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, ChinaNational Engineering Research Center of Communication and Network Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, ChinaNational Engineering Research Center of Communication and Network Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, ChinaBlurred image restoration poses a great challenge under the non-Gaussian noise environments in various communication systems. In order to restore images from blur and alpha-stable noise while also preserving their edges, this paper proposes a variational method to restore the blurred images with alpha-stable noises based on the property of the meridian distribution and the total variation (TV). Since the variational model is non-convex, it cannot guarantee a global optimal solution. To overcome this drawback, we also incorporate an additional penalty term into the deblurring and denoising model and propose a strictly convex variational method. Due to the convexity of our model, the primal-dual algorithm is adopted to solve this convex variational problem. Our simulation results validate the proposed method.http://www.mdpi.com/1424-8220/18/4/1175image deblurringvariational methodalpha-stable noiseprimal-dual algorithmtotal variational |
| spellingShingle | Zhenzhen Yang Zhen Yang Guan Gui A Convex Constraint Variational Method for Restoring Blurred Images in the Presence of Alpha-Stable Noises Sensors image deblurring variational method alpha-stable noise primal-dual algorithm total variational |
| title | A Convex Constraint Variational Method for Restoring Blurred Images in the Presence of Alpha-Stable Noises |
| title_full | A Convex Constraint Variational Method for Restoring Blurred Images in the Presence of Alpha-Stable Noises |
| title_fullStr | A Convex Constraint Variational Method for Restoring Blurred Images in the Presence of Alpha-Stable Noises |
| title_full_unstemmed | A Convex Constraint Variational Method for Restoring Blurred Images in the Presence of Alpha-Stable Noises |
| title_short | A Convex Constraint Variational Method for Restoring Blurred Images in the Presence of Alpha-Stable Noises |
| title_sort | convex constraint variational method for restoring blurred images in the presence of alpha stable noises |
| topic | image deblurring variational method alpha-stable noise primal-dual algorithm total variational |
| url | http://www.mdpi.com/1424-8220/18/4/1175 |
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