Application of interpolation finite element methods to a real 3D leaf data
In this paper we proposed a new surface fitting method based on combining the Clough-Tocher method (CT) and multiquadric radial basis function enhanced with a cubic polynomial (MRBFC) method to accurately reconstruct a real leaf surface from 3D scattered data. The accuracy of the CT-MRBFC method is...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-01-01
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| Series: | Journal of King Saud University: Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364718305214 |
| _version_ | 1819080097627373568 |
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| author | Moa'ath N. Oqielat |
| author_facet | Moa'ath N. Oqielat |
| author_sort | Moa'ath N. Oqielat |
| collection | DOAJ |
| description | In this paper we proposed a new surface fitting method based on combining the Clough-Tocher method (CT) and multiquadric radial basis function enhanced with a cubic polynomial (MRBFC) method to accurately reconstruct a real leaf surface from 3D scattered data. The accuracy of the CT-MRBFC method is validated by implementing it to a real 3D leaf data.The accuracy of the method depends highly on the RBF shape parameter and the triangular mesh structure. Consequently we employed three different methods numerically to estimate the RBF parameter as variable or constant including the square root method, the cubic root method and the fminbnd method which is a MATLAB command based on minimizing a single-variable function locally on a fixed interval. Moreover, the quality of the triangles in the mesh is measured to ensure that each triangle is close to equilateral triangle to achieve a better accuracy of the proposed CT-MRBFC method. It is concluded that the proposed CT-RBFC method generates an accurate representation of the leaf surface. Keywords: Interpolation, Finite elements methods, Radial basis function, Clough-Tocher method |
| first_indexed | 2024-12-21T19:39:28Z |
| format | Article |
| id | doaj.art-184a5973eb3b4266a00d7a0c991025c2 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-21T19:39:28Z |
| publishDate | 2020-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-184a5973eb3b4266a00d7a0c991025c22022-12-21T18:52:30ZengElsevierJournal of King Saud University: Science1018-36472020-01-01321200206Application of interpolation finite element methods to a real 3D leaf dataMoa'ath N. Oqielat0Department of Mathematics, Faculty of Science, Al-Balqa’ Applied University, Al-Salt 19 117, JordanIn this paper we proposed a new surface fitting method based on combining the Clough-Tocher method (CT) and multiquadric radial basis function enhanced with a cubic polynomial (MRBFC) method to accurately reconstruct a real leaf surface from 3D scattered data. The accuracy of the CT-MRBFC method is validated by implementing it to a real 3D leaf data.The accuracy of the method depends highly on the RBF shape parameter and the triangular mesh structure. Consequently we employed three different methods numerically to estimate the RBF parameter as variable or constant including the square root method, the cubic root method and the fminbnd method which is a MATLAB command based on minimizing a single-variable function locally on a fixed interval. Moreover, the quality of the triangles in the mesh is measured to ensure that each triangle is close to equilateral triangle to achieve a better accuracy of the proposed CT-MRBFC method. It is concluded that the proposed CT-RBFC method generates an accurate representation of the leaf surface. Keywords: Interpolation, Finite elements methods, Radial basis function, Clough-Tocher methodhttp://www.sciencedirect.com/science/article/pii/S1018364718305214 |
| spellingShingle | Moa'ath N. Oqielat Application of interpolation finite element methods to a real 3D leaf data Journal of King Saud University: Science |
| title | Application of interpolation finite element methods to a real 3D leaf data |
| title_full | Application of interpolation finite element methods to a real 3D leaf data |
| title_fullStr | Application of interpolation finite element methods to a real 3D leaf data |
| title_full_unstemmed | Application of interpolation finite element methods to a real 3D leaf data |
| title_short | Application of interpolation finite element methods to a real 3D leaf data |
| title_sort | application of interpolation finite element methods to a real 3d leaf data |
| url | http://www.sciencedirect.com/science/article/pii/S1018364718305214 |
| work_keys_str_mv | AT moaathnoqielat applicationofinterpolationfiniteelementmethodstoareal3dleafdata |