Full metadata record
DC Field | Value | Language |
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dc.citation.startPage | 3980181 | - |
dc.citation.title | MATHEMATICAL PROBLEMS IN ENGINEERING | - |
dc.citation.volume | 2019 | - |
dc.contributor.author | Lee, Dongsun | - |
dc.contributor.author | Lee, Seunggyu | - |
dc.date.accessioned | 2023-12-21T19:41:01Z | - |
dc.date.available | 2023-12-21T19:41:01Z | - |
dc.date.created | 2019-03-12 | - |
dc.date.issued | 2019-01 | - |
dc.description.abstract | We present the image segmentation model using the modified Allen-Cahn equation with a fractional Laplacian. The motion of the interface for the classical Allen-Cahn equation is known as the mean curvature flows, whereas its dynamics is changed to the macroscopic limit of Lévy process by replacing the Laplacian operator with the fractional one. To numerical implementation, we prove the unconditionally unique solvability and energy stability of the numerical scheme for the proposed model. The effect of a fractional Laplacian operator in our own and in the Allen-Cahn equation is checked by numerical simulations. Finally, we give some image segmentation results with different fractional order, including the standard Laplacian operator. | - |
dc.identifier.bibliographicCitation | MATHEMATICAL PROBLEMS IN ENGINEERING, v.2019, pp.3980181 | - |
dc.identifier.doi | 10.1155/2019/3980181 | - |
dc.identifier.issn | 1024-123X | - |
dc.identifier.scopusid | 2-s2.0-85061654372 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/26342 | - |
dc.identifier.url | https://www.hindawi.com/journals/mpe/2019/3980181/ | - |
dc.identifier.wosid | 000492958700002 | - |
dc.language | 영어 | - |
dc.publisher | Hindawi Limited | - |
dc.title | Image Segmentation Based on Modified Fractional Allen-Cahn Equation | - |
dc.type | Article | - |
dc.description.isOpenAccess | TRUE | - |
dc.relation.journalWebOfScienceCategory | Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications | - |
dc.relation.journalResearchArea | Engineering; Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Fractional laplacian operators | - |
dc.subject.keywordAuthor | Image segmentation model | - |
dc.subject.keywordAuthor | Mean curvature flow | - |
dc.subject.keywordAuthor | Numerical implementation | - |
dc.subject.keywordAuthor | Segmentation results | - |
dc.subject.keywordAuthor | Image segmentation | - |
dc.subject.keywordAuthor | Laplace equation | - |
dc.subject.keywordAuthor | Laplace transforms | - |
dc.subject.keywordAuthor | Mathematical operators | - |
dc.subject.keywordAuthor | Allen-Cahn equation | - |
dc.subject.keywordAuthor | Fractional Allen-Cahn equation | - |
dc.subject.keywordAuthor | Fractional Laplacian | - |
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