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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Bibliographic Details
Main Author: M.N. Oqielat
Format: Article
Language:English
Published: Elsevier 2019-04-01
Series:Journal of King Saud University: Science
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364717301234
Description
Summary: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
ISSN:1018-3647