A hybrid clough-tocher radial basis function method for modelling leaf surfaces

Oqielat, M. N. and Belward, J. A. and Turner, I. W. and Loch, B. I. (2007) A hybrid clough-tocher radial basis function method for modelling leaf surfaces. In: MODSIM07: International Congress on Modelling and Simulation: Land, Water and Environmental Management: Integrated Systems for Sustainability, 10-13 Dec 2007, Christchurch, New Zealand.

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We present a novel hybrid approach for leaf surface fitting that combines Clough-Tocher (CT) and radial basis function (RBF) methods to achieve a surface with a continuously turning normal. The hybrid CTRBF method is shown to give good representations of a Frangipani leaf and an Anthurium leaf. The issues reported here include:
- The selection of points from the leaf data set.
- Choice of RBF and suitable width parameter c.
- The use of local or global RBF interpolates.
- Visualization of the leaf model.
The development of the algorithm has been made to facilitate the understanding of leaf surface properties,
such as the path of droplets and nutrient and pesticide
The method reported is generally applicable to scattered data and has the potential for application to the numerical solution of partial differential equations.

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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Deposited with permission of publisher.
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 31 Jan 2008 02:11
Last Modified: 02 Jul 2013 22:57
Uncontrolled Keywords: interpolation; finite elements methods; virtual plants
Fields of Research : 06 Biological Sciences > 0607 Plant Biology > 060705 Plant Physiology
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080299 Computation Theory and Mathematics not elsewhere classified
08 Information and Computing Sciences > 0801 Artificial Intelligence and Image Processing > 080110 Simulation and Modelling
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
URI: http://eprints.usq.edu.au/id/eprint/3806

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