Surface reconstruction of wheat leaf morphology from three-dimensional scanned dataDaryl M. Kempthorne A , Ian W. Turner A , John A. Belward A , Scott W. McCue A E , Mark Barry B , Joseph Young B , Gary J. Dorr C , Jim Hanan C and Jerzy A. Zabkiewicz D
A Mathematical Sciences School, Queensland University of Technology, Brisbane, Qld 4001, Australia.
B High Performance Computing and Research Support, Queensland University of Technology, Brisbane, Qld 4001, Australia.
C The University of Queensland, Queensland Alliance for Agriculture and Food Innovation, Brisbane, Qld 4072, Australia.
D SciCon Scientific Consultants, Rotorua 3010, New Zealand.
E Corresponding author. Email: firstname.lastname@example.org
Functional Plant Biology 42(5) 444-451 https://doi.org/10.1071/FP14058
Submitted: 21 February 2014 Accepted: 12 August 2014 Published: 23 September 2014
Realistic virtual models of leaf surfaces are important for several applications in the plant sciences, such as modelling agrichemical spray droplet movement and spreading on the surface. In this context, the virtual surfaces are required to be smooth enough to facilitate the use of the mathematical equations that govern the motion of the droplet. Although an effective approach is to apply discrete smoothing D2-spline algorithms to reconstruct the leaf surfaces from three-dimensional scanned data, difficulties arise when dealing with wheat (Triticum aestivum L.) leaves, which tend to twist and bend. To overcome this topological difficulty, we develop a parameterisation technique that rotates and translates the original data, allowing the surface to be fitted using the discrete smoothing D2-spline methods in the new parameter space. Our algorithm uses finite element methods to represent the surface as a linear combination of compactly supported shape functions. Numerical results confirm that the parameterisation, along with the use of discrete smoothing D2-spline techniques, produces realistic virtual representations of wheat leaves.
Additional keywords: discrete smoothing D2-splines, finite element methods, virtual leaf construction.
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