Denoising X-Ray Diffraction Two-Dimensional Patterns with Lattice Boltzmann Method
An X-ray diffraction pattern consists of relevant information (the signal) and noisy background. Under the assumption that they behave as the components of a two-dimensional mixture (bicomponent fluid) having slightly different physical properties related to the density gradients, a Lattice Boltzman...
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MDPI AG
2025-01-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/15/1/51 |
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| author | Massimo Ladisa |
| author_facet | Massimo Ladisa |
| author_sort | Massimo Ladisa |
| collection | DOAJ |
| description | An X-ray diffraction pattern consists of relevant information (the signal) and noisy background. Under the assumption that they behave as the components of a two-dimensional mixture (bicomponent fluid) having slightly different physical properties related to the density gradients, a Lattice Boltzmann Method is applied to disentangle the two different diffusive dynamics. The solution is numerically stable, not computationally demanding, and, it also provides an efficient increase in the signal-to-noise ratio for patterns blurred by Poissonian noise and affected by collection data anomalies (fiber-like samples, experimental setup, etc.). The model is succesfully applied to different resolution images. |
| format | Article |
| id | doaj-art-811b851909b043b0bdcfc454ceb4a00d |
| institution | Kabale University |
| issn | 2073-4352 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj-art-811b851909b043b0bdcfc454ceb4a00d2025-01-24T13:28:08ZengMDPI AGCrystals2073-43522025-01-011515110.3390/cryst15010051Denoising X-Ray Diffraction Two-Dimensional Patterns with Lattice Boltzmann MethodMassimo Ladisa0Istituto per le Applicazioni del Calcolo Mauro Picone, Consiglio Nazionale delle Ricerche, Via Giovanni Amendola 122/D, 70126 Bari, ItalyAn X-ray diffraction pattern consists of relevant information (the signal) and noisy background. Under the assumption that they behave as the components of a two-dimensional mixture (bicomponent fluid) having slightly different physical properties related to the density gradients, a Lattice Boltzmann Method is applied to disentangle the two different diffusive dynamics. The solution is numerically stable, not computationally demanding, and, it also provides an efficient increase in the signal-to-noise ratio for patterns blurred by Poissonian noise and affected by collection data anomalies (fiber-like samples, experimental setup, etc.). The model is succesfully applied to different resolution images.https://www.mdpi.com/2073-4352/15/1/51X-ray patternsdenoisingdiffusion equation |
| spellingShingle | Massimo Ladisa Denoising X-Ray Diffraction Two-Dimensional Patterns with Lattice Boltzmann Method Crystals X-ray patterns denoising diffusion equation |
| title | Denoising X-Ray Diffraction Two-Dimensional Patterns with Lattice Boltzmann Method |
| title_full | Denoising X-Ray Diffraction Two-Dimensional Patterns with Lattice Boltzmann Method |
| title_fullStr | Denoising X-Ray Diffraction Two-Dimensional Patterns with Lattice Boltzmann Method |
| title_full_unstemmed | Denoising X-Ray Diffraction Two-Dimensional Patterns with Lattice Boltzmann Method |
| title_short | Denoising X-Ray Diffraction Two-Dimensional Patterns with Lattice Boltzmann Method |
| title_sort | denoising x ray diffraction two dimensional patterns with lattice boltzmann method |
| topic | X-ray patterns denoising diffusion equation |
| url | https://www.mdpi.com/2073-4352/15/1/51 |
| work_keys_str_mv | AT massimoladisa denoisingxraydiffractiontwodimensionalpatternswithlatticeboltzmannmethod |