Modeling Plant Stems Using the Deterministic Lindenmayer System

Juhari Juhari, Muhammad Zia Alghar

Abstract


Plant morphology modeling can be done mathematically which includes roots, stems, leaves, to flower. Modeling of plant stems using the Lindenmayer System (L-system) method is a writing returns that are repeated to form a visualization of an object. Deterministic L-system method is carried out by predicting the possible shape of a plant stem using its iterative writing rules based on the original object photo. The purpose of this study is to find a model of the plant stem with Deterministic Lindenmayer System method which will later be divided into two dimensional space three. The research was conducted by identifying objects in the form of pine tree trunks measured by the angle, thickness, and length of the stem. Then a deterministic and parametric model is built with L-system components . The stage is continued by visualizing the model in two dimensions and three dimensions. The result of this research is a visualization of a plant stem model that is close to the original. Addition color, thickness of the stem, as well as the parametric writing is done to get the results resembles the original. The iteration is limited to less than 20 iterations so that the simulation runs optimal.


Keywords


Modeling, Deterministic L-system , Plant Stems, Visualization

Full Text:

PDF

References


A. Shipunov, Introduction of Botany, USA: University of Minot State, 2011.

R. McGarry, "Monopodial and sympodial branching architecture in cotton is differentially regulated by the Gossypium hirsutum SIngle Flower Truss and Self-Pruning orthologs," New Phytologist, pp. 1-2, 26 April 2016.

J. Power, "Interactive arrangement of botanical L-system models," Proceedings of the 1999 symposium on Interactive 3D graphics - SI3D '99, pp. 175-182, 1999.

C. Jacob, "Genetic L-System Programming: Breeding and Evolving Artificial Flowers with Mathematica," In Proceedings of the First International Mathematica Symposium, vol. 33976, pp. 215-222, 1995.

P. Prusinkiewicz, "Developmental Models of Herbaceous Plants for Computer Imagery Purposes," Computer Graphics, vol. 22, no. 0097-8930, pp. 141-150, 1988.

A. Lindenmayer, The Algorithmic Beauty of Plants, New York: Spinger-Verlag, 1990.

Juhari, "Pemodelan Pertumbuhan Tanaman Zea Mays L. Menggunakan Stochastic L-System," Jurnal Cauchy, vol. 3, no. 2477-3344, p. 2, 2013.

C. H. Iswanto, "Penerapan Stochastic L-Systems pada Pemodelan Pertumbuhan Batang Tanaman," pp. 1-18, 1 Janurary 2014.

J. Ritcher, The Notebooks of Leonardo da Vinci, New York: Dover Publications, 1970.

B. Mandelbrot, The Fractal Geometry of Nature, San Fransisco: W.H. Freeman, 1982.

Suhartono, "Pemodelan Pertumbuhan Tanaman Zinnia Menggunakan Lindenmayer System dengan Mathematica," Jurnal Cauchy, vol. 3, no. 2086-0382, pp. 33-37, 2013.

Juhari, "Pemodelan Pertumbuhan Batang Tanaman Menggunakan Deterministic L-Systems," p. 3, 25 November 2013.

M. Kahfi, Geometri Transformasi, Malang: IKIP Malang, 1997.




DOI: https://doi.org/10.18860/ca.v6i4.11591

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Editorial Office
Mathematics Department,
Universitas Islam Negeri Maulana Malik Ibrahim Malang
Jalan Gajayana 50 Malang, Jawa Timur, Indonesia 65144
Faximile (+62) 341 558933
e-mail: cauchy@uin-malang.ac.id

Creative Commons License
CAUCHY: Jurnal Matematika Murni dan Aplikasi is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.