Directional TGV-Based Image Restoration under Poisson Noise
We are interested in the restoration of noisy and blurry images where the texture mainly follows a single direction (i.e., directional images). Problems of this type arise, for example, in microscopy or computed tomography for carbon or glass fibres. In order to deal with these problems, the Directi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Journal of Imaging |
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| Online Access: | https://www.mdpi.com/2313-433X/7/6/99 |
| _version_ | 1797529930236428288 |
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| author | Daniela di Serafino Germana Landi Marco Viola |
| author_facet | Daniela di Serafino Germana Landi Marco Viola |
| author_sort | Daniela di Serafino |
| collection | DOAJ |
| description | We are interested in the restoration of noisy and blurry images where the texture mainly follows a single direction (i.e., directional images). Problems of this type arise, for example, in microscopy or computed tomography for carbon or glass fibres. In order to deal with these problems, the Directional Total Generalized Variation (DTGV) was developed by Kongskov et al. in 2017 and 2019, in the case of impulse and Gaussian noise. In this article we focus on images corrupted by Poisson noise, extending the DTGV regularization to image restoration models where the data fitting term is the generalized Kullback–Leibler divergence. We also propose a technique for the identification of the main texture direction, which improves upon the techniques used in the aforementioned work about DTGV. We solve the problem by an ADMM algorithm with proven convergence and subproblems that can be solved exactly at a low computational cost. Numerical results on both phantom and real images demonstrate the effectiveness of our approach. |
| first_indexed | 2024-03-10T10:20:54Z |
| format | Article |
| id | doaj.art-d925ccda6d6f4c7bb650a767dfdf7399 |
| institution | Directory Open Access Journal |
| issn | 2313-433X |
| language | English |
| last_indexed | 2024-03-10T10:20:54Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Imaging |
| spelling | doaj.art-d925ccda6d6f4c7bb650a767dfdf73992023-11-22T00:25:56ZengMDPI AGJournal of Imaging2313-433X2021-06-01769910.3390/jimaging7060099Directional TGV-Based Image Restoration under Poisson NoiseDaniela di Serafino0Germana Landi1Marco Viola2Department of Mathematics and Applications “R. Caccioppoli”, University of Naples Federico II, 80126 Naples, ItalyDepartment of Mathematics, University of Bologna, 40126 Bologna, ItalyDepartment of Mathematics and Physics, University of Campania “L. Vanvitelli”, 81100 Caserta, ItalyWe are interested in the restoration of noisy and blurry images where the texture mainly follows a single direction (i.e., directional images). Problems of this type arise, for example, in microscopy or computed tomography for carbon or glass fibres. In order to deal with these problems, the Directional Total Generalized Variation (DTGV) was developed by Kongskov et al. in 2017 and 2019, in the case of impulse and Gaussian noise. In this article we focus on images corrupted by Poisson noise, extending the DTGV regularization to image restoration models where the data fitting term is the generalized Kullback–Leibler divergence. We also propose a technique for the identification of the main texture direction, which improves upon the techniques used in the aforementioned work about DTGV. We solve the problem by an ADMM algorithm with proven convergence and subproblems that can be solved exactly at a low computational cost. Numerical results on both phantom and real images demonstrate the effectiveness of our approach.https://www.mdpi.com/2313-433X/7/6/99directional image restorationPoisson noiseDTGV regularizationADMM method |
| spellingShingle | Daniela di Serafino Germana Landi Marco Viola Directional TGV-Based Image Restoration under Poisson Noise Journal of Imaging directional image restoration Poisson noise DTGV regularization ADMM method |
| title | Directional TGV-Based Image Restoration under Poisson Noise |
| title_full | Directional TGV-Based Image Restoration under Poisson Noise |
| title_fullStr | Directional TGV-Based Image Restoration under Poisson Noise |
| title_full_unstemmed | Directional TGV-Based Image Restoration under Poisson Noise |
| title_short | Directional TGV-Based Image Restoration under Poisson Noise |
| title_sort | directional tgv based image restoration under poisson noise |
| topic | directional image restoration Poisson noise DTGV regularization ADMM method |
| url | https://www.mdpi.com/2313-433X/7/6/99 |
| work_keys_str_mv | AT danieladiserafino directionaltgvbasedimagerestorationunderpoissonnoise AT germanalandi directionaltgvbasedimagerestorationunderpoissonnoise AT marcoviola directionaltgvbasedimagerestorationunderpoissonnoise |