Diffusion-Driven X-Ray Two-Dimensional Patterns Denoising
The use of a mathematical model is proposed in order to denoise X-ray two-dimensional patterns. The method relies on a generalized diffusion equation whose diffusion constant depends on the image gradients. The numerical solution of the diffusion equation provides an efficient reduction of pattern n...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/13/12/2773 |
| _version_ | 1797564817336172544 |
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| author | Massimo Ladisa Antonio Lamura |
| author_facet | Massimo Ladisa Antonio Lamura |
| author_sort | Massimo Ladisa |
| collection | DOAJ |
| description | The use of a mathematical model is proposed in order to denoise X-ray two-dimensional patterns. The method relies on a generalized diffusion equation whose diffusion constant depends on the image gradients. The numerical solution of the diffusion equation provides an efficient reduction of pattern noise as witnessed by the computed peak of signal-to-noise ratio. The use of experimental data with different inherent levels of noise allows us to show the success of the method even in the case, experimentally relevant, when patterns are blurred by Poissonian noise. The corresponding MatLab code for the numerical method is made available. |
| first_indexed | 2024-03-10T19:03:19Z |
| format | Article |
| id | doaj.art-8adb6ee37d3643f7842bd6a3d93fa776 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T19:03:19Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-8adb6ee37d3643f7842bd6a3d93fa7762023-11-20T04:17:12ZengMDPI AGMaterials1996-19442020-06-011312277310.3390/ma13122773Diffusion-Driven X-Ray Two-Dimensional Patterns DenoisingMassimo Ladisa0Antonio Lamura1Istituto Applicazioni Calcolo—CNR, Via Amendola 122/D, 70126 Bari, ItalyIstituto Applicazioni Calcolo—CNR, Via Amendola 122/D, 70126 Bari, ItalyThe use of a mathematical model is proposed in order to denoise X-ray two-dimensional patterns. The method relies on a generalized diffusion equation whose diffusion constant depends on the image gradients. The numerical solution of the diffusion equation provides an efficient reduction of pattern noise as witnessed by the computed peak of signal-to-noise ratio. The use of experimental data with different inherent levels of noise allows us to show the success of the method even in the case, experimentally relevant, when patterns are blurred by Poissonian noise. The corresponding MatLab code for the numerical method is made available.https://www.mdpi.com/1996-1944/13/12/2773X-ray patternsdenoisingdiffusion equation |
| spellingShingle | Massimo Ladisa Antonio Lamura Diffusion-Driven X-Ray Two-Dimensional Patterns Denoising Materials X-ray patterns denoising diffusion equation |
| title | Diffusion-Driven X-Ray Two-Dimensional Patterns Denoising |
| title_full | Diffusion-Driven X-Ray Two-Dimensional Patterns Denoising |
| title_fullStr | Diffusion-Driven X-Ray Two-Dimensional Patterns Denoising |
| title_full_unstemmed | Diffusion-Driven X-Ray Two-Dimensional Patterns Denoising |
| title_short | Diffusion-Driven X-Ray Two-Dimensional Patterns Denoising |
| title_sort | diffusion driven x ray two dimensional patterns denoising |
| topic | X-ray patterns denoising diffusion equation |
| url | https://www.mdpi.com/1996-1944/13/12/2773 |
| work_keys_str_mv | AT massimoladisa diffusiondrivenxraytwodimensionalpatternsdenoising AT antoniolamura diffusiondrivenxraytwodimensionalpatternsdenoising |