Surface reconstruction of wheat leaf morphology from three-dimensional scanned data

Kempthorne, Daryl, Turner, Ian W., Belward, John A., McCue, Scott W., Barry, Mark, Young, Joseph A., Dorr, Gary J., Hanan, Jim, & Zabkiewicz, Jerzy A. (2015) Surface reconstruction of wheat leaf morphology from three-dimensional scanned data. Functional Plant Biology, 42(5), pp. 444-451.

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Abstract

Realistic virtual models of leaf surfaces are important for a number of 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 sufficiently smooth to facilitate the use of the mathematical equations that govern the motion of the droplet. While 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 leaves that 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.

Impact and interest:

7 citations in Scopus
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7 citations in Web of Science®

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ID Code: 75349
Item Type: Journal Article
Refereed: Yes
Additional Information: Published online: 23 September 2014
Additional URLs:
Keywords: virtual leaf construction, wheat leaves, finite-element methods, discrete smoothing D2 splines, image analysis
DOI: 10.1071/FP14058
ISSN: 1445-4408
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300)
Australian and New Zealand Standard Research Classification > BIOLOGICAL SCIENCES (060000) > PLANT BIOLOGY (060700) > Plant Biology not elsewhere classified (060799)
Divisions: Current > Research Centres > ARC Centre of Excellence for Mathematical & Statistical Frontiers (ACEMS)
Current > QUT Faculties and Divisions > Division of Technology, Information and Learning Support
Current > Research Centres > High Performance Computing and Research Support
Current > Institutes > Institute for Future Environments
Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Funding:
Copyright Owner: Copyright 2014 CSIRO Publishing
Deposited On: 22 Aug 2014 00:33
Last Modified: 12 Aug 2015 00:20

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