On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects
Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal derivatives of the functions on the boundary. Finite difference sc...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/3950312 |
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| _version_ | 1849306156664619008 |
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| author | S. B. Damelin N. S. Hoang |
| author_facet | S. B. Damelin N. S. Hoang |
| author_sort | S. B. Damelin |
| collection | DOAJ |
| description | Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal derivatives of the functions on the boundary. Finite difference schemes for solving these harmonic functions are discussed in detail. |
| format | Article |
| id | doaj-art-385efbc72e6f47d6bac6651b999cbb67 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-385efbc72e6f47d6bac6651b999cbb672025-08-20T03:55:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/39503123950312On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical AspectsS. B. Damelin0N. S. Hoang1Mathematical Reviews, The American Mathematical Society, 416 Fourth Street, Ann Arbor, MI 48104, USADepartment of Mathematics, University of Oklahoma, Norman, OK 73019-3103, USANumerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal derivatives of the functions on the boundary. Finite difference schemes for solving these harmonic functions are discussed in detail.http://dx.doi.org/10.1155/2018/3950312 |
| spellingShingle | S. B. Damelin N. S. Hoang On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects International Journal of Mathematics and Mathematical Sciences |
| title | On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects |
| title_full | On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects |
| title_fullStr | On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects |
| title_full_unstemmed | On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects |
| title_short | On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects |
| title_sort | on surface completion and image inpainting by biharmonic functions numerical aspects |
| url | http://dx.doi.org/10.1155/2018/3950312 |
| work_keys_str_mv | AT sbdamelin onsurfacecompletionandimageinpaintingbybiharmonicfunctionsnumericalaspects AT nshoang onsurfacecompletionandimageinpaintingbybiharmonicfunctionsnumericalaspects |