Application of surface fitting techniques for the representation of leaf surfaces

Paper

Loch, B. I., Belward, J. A. and Hanan, J. S.. 2005. "Application of surface fitting techniques for the representation of leaf surfaces." Zerger, Andre and Argent, Robert M. (ed.) 16th International Congress on Modelling and Simulation (MODSIM05). Melbourne, Australia 12 - 15 Dec 2005 Melbourne, Australia.
Paper/Presentation Title

Application of surface fitting techniques for the representation of leaf surfaces

Presentation TypePaper
AuthorsLoch, B. I. (Author), Belward, J. A. (Author) and Hanan, J. S. (Author)
EditorsZerger, Andre and Argent, Robert M.
Journal or Proceedings TitleProceedings of the 16th International Congress on Modelling and Simulation (MODSIM05)
Number of Pages7
Year2005
PublisherModelling and Simulation Society of Australia and New Zealand
Place of PublicationMelbourne, Australia
ISBN0975840002
0975840029
Web Address (URL) of Paperhttp://www.mssanz.org.au/modsim05/proceedings/papers/loch.pdf
Conference/Event16th International Congress on Modelling and Simulation (MODSIM05)
Event Details
16th International Congress on Modelling and Simulation (MODSIM05)
Parent
International Congress on Modelling and Simulation
Delivery
In person
Event Date
12 to end of 15 Dec 2005
Event Location
Melbourne, Australia
Abstract

Leaves play a vital role in the development of a plant, as they are major resource collectors. Adequate representations of leaves are therefore required for the modelling of plants. Such representations may be important to generate a realistic visualisation, or they may be used to study biological processes such as photosynthesis and canopy light environment. Accurate leaf surface representations are rarely found in the plant modelling community. This paper aims to show how detailed, accurate representations of leaf surfaces can be created from data; representations that may then be used as parts of virtual plants for applications in fields as diverse as the arts,
agriculture or computer games. The techniques used here are mathematical methods of surface fitting applied to data that has been sampled from real leaves with a laser scanner (Polhemus FastSCAN 3D). These methods are interpolating finite element techniques, one using linear triangular elements, the other piecewise cubic triangles. The size of a laser scanned data set can be enormous and it may be
important to represent the surface with significantly
fewer points. An incremental algorithm is therefore used to identify significant points that result in a surface fit that approximates the entire data set to a pre-specified accuracy. The algorithms are applied to two examples, a
Frangipani leaf and a Flame Tree leaf. The research presented in this paper is the first to model detailed and accurate leaf surfaces based on three-dimensional data points captured from real leaf surfaces. It provided a basis on which further research can be built. For example, detailed and accurate surface representations may be used in the simulation of pesticide deposition on leaf surfaces to determine the effectiveness of a treatment and help develop improved pesticide application techniques.

Keywordsleaf surface representation; surface fitting; virtual plants; interpolation
ANZSRC Field of Research 2020490102. Biological mathematics
460702. Computer graphics
460207. Modelling and simulation
Public Notes

Permission granted to deposit.

Byline AffiliationsDepartment of Mathematics and Computing
No affiliation
University of Queensland
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