Surface fitting methods for modelling leaf surface from scanned data
Modelling leaves accurately is important in the improvement of a virtual plant model. Therefore an accurate illustration of the leaves are important which can be achieve via mathematical models. These models can be used to study biological procedures for instance, a canopy light environment or photo...
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| Format: | Article |
| Language: | English |
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Elsevier
2019-04-01
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| Series: | Journal of King Saud University: Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364717301234 |
| _version_ | 1819168199538638848 |
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| author | M.N. Oqielat |
| author_facet | M.N. Oqielat |
| author_sort | M.N. Oqielat |
| collection | DOAJ |
| description | Modelling leaves accurately is important in the improvement of a virtual plant model. Therefore an accurate illustration of the leaves are important which can be achieve via mathematical models. These models can be used to study biological procedures for instance, a canopy light environment or photosynthesis. In this research we proposed a new surface fitting method called Gaussion radial basis function Clough-Tocher method (RBF-CT) for modelling a leaf surface. The Gaussion RBF-CT method strategy based on joining the Gaussion radial basis function (RBF) and Clough-Tocher (CT) methods. The accuracy of the presented method is validated by applying it to scattered data taken from Franke (1982) as well as to a real scattered data set collected using a laser scanner from an Anthurium leaf (Loch, 2004). Our method is shown to produces a realistic representation of the leaf surface. Keywords: Interpolation, Finite elements methods, Virtual leaf, Radial basis function, Clough-Tocher method |
| first_indexed | 2024-12-22T18:59:49Z |
| format | Article |
| id | doaj.art-fe215c5e6b8c46b8ae631c1551643ec1 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-22T18:59:49Z |
| publishDate | 2019-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-fe215c5e6b8c46b8ae631c1551643ec12022-12-21T18:15:59ZengElsevierJournal of King Saud University: Science1018-36472019-04-01312215221Surface fitting methods for modelling leaf surface from scanned dataM.N. Oqielat0Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt 19117, JordanModelling leaves accurately is important in the improvement of a virtual plant model. Therefore an accurate illustration of the leaves are important which can be achieve via mathematical models. These models can be used to study biological procedures for instance, a canopy light environment or photosynthesis. In this research we proposed a new surface fitting method called Gaussion radial basis function Clough-Tocher method (RBF-CT) for modelling a leaf surface. The Gaussion RBF-CT method strategy based on joining the Gaussion radial basis function (RBF) and Clough-Tocher (CT) methods. The accuracy of the presented method is validated by applying it to scattered data taken from Franke (1982) as well as to a real scattered data set collected using a laser scanner from an Anthurium leaf (Loch, 2004). Our method is shown to produces a realistic representation of the leaf surface. Keywords: Interpolation, Finite elements methods, Virtual leaf, Radial basis function, Clough-Tocher methodhttp://www.sciencedirect.com/science/article/pii/S1018364717301234 |
| spellingShingle | M.N. Oqielat Surface fitting methods for modelling leaf surface from scanned data Journal of King Saud University: Science |
| title | Surface fitting methods for modelling leaf surface from scanned data |
| title_full | Surface fitting methods for modelling leaf surface from scanned data |
| title_fullStr | Surface fitting methods for modelling leaf surface from scanned data |
| title_full_unstemmed | Surface fitting methods for modelling leaf surface from scanned data |
| title_short | Surface fitting methods for modelling leaf surface from scanned data |
| title_sort | surface fitting methods for modelling leaf surface from scanned data |
| url | http://www.sciencedirect.com/science/article/pii/S1018364717301234 |
| work_keys_str_mv | AT mnoqielat surfacefittingmethodsformodellingleafsurfacefromscanneddata |