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

Paper

Oqielat, M. N., Belward, J. A., Turner, I. W. and Loch, B. I.. 2007. "A hybrid clough-tocher radial basis function method for modelling leaf surfaces." Oxley, Les and Kulasiri, Don (ed.) 17th International Congress on Modelling and Simulation (MODSIM07). Christchurch, New Zealand 10 - 13 Dec 2007 Canberra, Australia. Modelling and Simulation Society of Australia and New Zealand .
Paper/Presentation Title

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

Presentation TypePaper
AuthorsOqielat, M. N. (Author), Belward, J. A. (Author), Turner, I. W. (Author) and Loch, B. I. (Author)
EditorsOxley, Les and Kulasiri, Don
Journal or Proceedings TitleProceedings of the 17th International Congress on Modelling and Simulation (MODSIM07)
Journal Citationpp. 400-406
Number of Pages7
Year2007
PublisherModelling and Simulation Society of Australia and New Zealand
Place of PublicationCanberra, Australia
ISBN9780975840047
Web Address (URL) of Paperhttp://www.mssanz.org.au/MODSIM07/papers/7_s50/AHybrid_s50_Oqielat_.pdf
Web Address (URL) of Conference Proceedingshttps://www.mssanz.org.au/MODSIM07/papers.htm
Conference/Event17th International Congress on Modelling and Simulation (MODSIM07)
Event Details
17th International Congress on Modelling and Simulation (MODSIM07)
Parent
International Congress on Modelling and Simulation
Delivery
In person
Event Date
10 to end of 13 Dec 2007
Event Location
Christchurch, New Zealand
Abstract

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
deposition.
The method reported is generally applicable to scattered data and has the potential for application to the numerical solution of partial differential equations.

Keywordsinterpolation; finite elements methods; virtual plants
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020310806. Plant physiology
461399. Theory of computation not elsewhere classified
460207. Modelling and simulation
Byline AffiliationsQueensland University of Technology
Department of Mathematics and Computing
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