COMPARISON OF SURFACE FITTING METHODS FOR MODELLING LEAF SURFACE

Authors

  • Moa’ath N. Oqielat Al-balqa’ Applied University - Department of Mathematics

Keywords:

finite elements methods, interpolation, radial basis functions, Clough-Tocher method, virtual plants

Abstract

A novel hybrid method for modelling leaf surface that combines Gaussian radial basis function (RBF) and Clough-Tocher (CT) methods to achieve a continuous surface is proposed by the author [20].  In this paper, we demonstrate the accuracy of the hybrid Gaussion RBF-CT approach by applying it to model the surface of frangipani and anthurium leaves.  Furthermore, a comparison between the hybrid Gaussion RBF-CT method and the hybrid multiquadric RBF-CT method introduced by the author Oqielat et al. [17] is presented.

The development of the algorithm has been made to assist the understanding of leaf surface properties.  It is found that the hybrid multiquadric RBF-CT surface fitting methodology produces more accurate and realistic leaf surface representation than using the hybrid Gaussion RBF-CT method.

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Published

2018-07-31

How to Cite

Oqielat, M. N. (2018). COMPARISON OF SURFACE FITTING METHODS FOR MODELLING LEAF SURFACE. Italian Journal of Pure and Applied Mathematics, 40, 215–226. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7034

Issue

Section

Articoli - Forum Editrice

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