Numerical subgrid Bi-cubic methods of partial differential equations in image segmentation
Abstract Image segmentation is a core research in the image processing and computer vision. In this paper, we suggest a Bi-cubic spline phase transition potential and elaborate a Bi-Cubic spline phase transition potential development. In the image segmentation, we develop the new approach to apply t...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-04-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-54855-7 |
| _version_ | 1797209419149213696 |
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| author | Dongyung Kim |
| author_facet | Dongyung Kim |
| author_sort | Dongyung Kim |
| collection | DOAJ |
| description | Abstract Image segmentation is a core research in the image processing and computer vision. In this paper, we suggest a Bi-cubic spline phase transition potential and elaborate a Bi-Cubic spline phase transition potential development. In the image segmentation, we develop the new approach to apply the novel computational fluid dynamics in the boundary with subgrid. The numerical subgrid Bi-cubic method with Bi-Cubic spline for minimizing the piecewise constant energy functional is very efficient, robust and fast in the image segmentation with a multispecies multiphase segmentation models. The subgrid Bi-cubic spline is applied on the boundary with subgrid and the regular grid is applied on the non-boundary. The model generates a multispecies multiphase distribution with Bi-Cubic spline and we can extract the image segments with multispecies multiphase. Finally, we analyze the models and show the numerical results. Numerical results are presented with OCR (Optical Character Recognition) and the medical image. |
| first_indexed | 2024-04-24T09:54:24Z |
| format | Article |
| id | doaj.art-7ac0f0db18454ea6b48a54e1c15ac385 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-24T09:54:24Z |
| publishDate | 2024-04-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-7ac0f0db18454ea6b48a54e1c15ac3852024-04-14T11:12:40ZengNature PortfolioScientific Reports2045-23222024-04-011411810.1038/s41598-024-54855-7Numerical subgrid Bi-cubic methods of partial differential equations in image segmentationDongyung Kim0Department of Mathematics, Phoenix CollegeAbstract Image segmentation is a core research in the image processing and computer vision. In this paper, we suggest a Bi-cubic spline phase transition potential and elaborate a Bi-Cubic spline phase transition potential development. In the image segmentation, we develop the new approach to apply the novel computational fluid dynamics in the boundary with subgrid. The numerical subgrid Bi-cubic method with Bi-Cubic spline for minimizing the piecewise constant energy functional is very efficient, robust and fast in the image segmentation with a multispecies multiphase segmentation models. The subgrid Bi-cubic spline is applied on the boundary with subgrid and the regular grid is applied on the non-boundary. The model generates a multispecies multiphase distribution with Bi-Cubic spline and we can extract the image segments with multispecies multiphase. Finally, we analyze the models and show the numerical results. Numerical results are presented with OCR (Optical Character Recognition) and the medical image.https://doi.org/10.1038/s41598-024-54855-7Partial differential equationsImage segmentationNumerical methods |
| spellingShingle | Dongyung Kim Numerical subgrid Bi-cubic methods of partial differential equations in image segmentation Scientific Reports Partial differential equations Image segmentation Numerical methods |
| title | Numerical subgrid Bi-cubic methods of partial differential equations in image segmentation |
| title_full | Numerical subgrid Bi-cubic methods of partial differential equations in image segmentation |
| title_fullStr | Numerical subgrid Bi-cubic methods of partial differential equations in image segmentation |
| title_full_unstemmed | Numerical subgrid Bi-cubic methods of partial differential equations in image segmentation |
| title_short | Numerical subgrid Bi-cubic methods of partial differential equations in image segmentation |
| title_sort | numerical subgrid bi cubic methods of partial differential equations in image segmentation |
| topic | Partial differential equations Image segmentation Numerical methods |
| url | https://doi.org/10.1038/s41598-024-54855-7 |
| work_keys_str_mv | AT dongyungkim numericalsubgridbicubicmethodsofpartialdifferentialequationsinimagesegmentation |