Nanocrystalline SEM image restoration based on fractional-order TV and nuclear norm
To obtain high-quality nanocrystalline scanning electron microscopy (SEM) images, this paper proposed a Poisson denoising model that combined the fractional-order total variation (TV) and nuclear norm regularizers. The developed novel model integrated the superiorities of fractional-order TV and nuc...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-08-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024228 |
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| _version_ | 1832590797134888960 |
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| author | Ruini Zhao |
| author_facet | Ruini Zhao |
| author_sort | Ruini Zhao |
| collection | DOAJ |
| description | To obtain high-quality nanocrystalline scanning electron microscopy (SEM) images, this paper proposed a Poisson denoising model that combined the fractional-order total variation (TV) and nuclear norm regularizers. The developed novel model integrated the superiorities of fractional-order TV and nuclear norm constraints, which contributed to significantly improving the accuracy of image restoration while preventing the staircase effect and preserving edge details. By combining the variable separation method and singular value thresholding method, an improved alternating direction method of multipliers was developed for numerical computation. Compared with some existing popular solvers, numerical experiments demonstrated the superiority of the new method in visual effects and quality evaluation. |
| format | Article |
| id | doaj-art-2000b8cb0fa24f72a2ee6f19c89d361b |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-2000b8cb0fa24f72a2ee6f19c89d361b2025-01-23T07:51:27ZengAIMS PressElectronic Research Archive2688-15942024-08-013284954496810.3934/era.2024228Nanocrystalline SEM image restoration based on fractional-order TV and nuclear normRuini Zhao0College of ASEAN Studies, Guangxi Minzu University, Nanning 530006, ChinaTo obtain high-quality nanocrystalline scanning electron microscopy (SEM) images, this paper proposed a Poisson denoising model that combined the fractional-order total variation (TV) and nuclear norm regularizers. The developed novel model integrated the superiorities of fractional-order TV and nuclear norm constraints, which contributed to significantly improving the accuracy of image restoration while preventing the staircase effect and preserving edge details. By combining the variable separation method and singular value thresholding method, an improved alternating direction method of multipliers was developed for numerical computation. Compared with some existing popular solvers, numerical experiments demonstrated the superiority of the new method in visual effects and quality evaluation.https://www.aimspress.com/article/doi/10.3934/era.2024228image restorationpoisson noisefractional-order tvnuclear normalternating direction method of multipliers |
| spellingShingle | Ruini Zhao Nanocrystalline SEM image restoration based on fractional-order TV and nuclear norm Electronic Research Archive image restoration poisson noise fractional-order tv nuclear norm alternating direction method of multipliers |
| title | Nanocrystalline SEM image restoration based on fractional-order TV and nuclear norm |
| title_full | Nanocrystalline SEM image restoration based on fractional-order TV and nuclear norm |
| title_fullStr | Nanocrystalline SEM image restoration based on fractional-order TV and nuclear norm |
| title_full_unstemmed | Nanocrystalline SEM image restoration based on fractional-order TV and nuclear norm |
| title_short | Nanocrystalline SEM image restoration based on fractional-order TV and nuclear norm |
| title_sort | nanocrystalline sem image restoration based on fractional order tv and nuclear norm |
| topic | image restoration poisson noise fractional-order tv nuclear norm alternating direction method of multipliers |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024228 |
| work_keys_str_mv | AT ruinizhao nanocrystallinesemimagerestorationbasedonfractionalordertvandnuclearnorm |