Abstract
L systems have been widely used to model and graphically represent the growth of higher plants [20]. In this paper we continue developing the framework introduced in [21], which make use of the topology of membrane structures to model the morphology of branching structures.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ardelean, I.I., Cavaliere, M.: Modelling Biological Processes by Using a Probabilistic P System Software. Natural Computing 2(2), 173–197 (2003)
Chomsky, N.: Three Models for the Description of Language. IRE Trans. on Information Theory 2(3), 113–124 (1956)
Frijters, D., Lindenmayer, A.: A Model for the Growth and Flowering of Aster Novae-Angliae on the Basis of Table (0,1)L systems. In: Rozenberg, G., Salomaa, A. (eds.) L Systems. LNCS, vol. 15, pp. 24–52. Springer, Heidelberg (1974)
Frijters, D., Lindenmayer, A.: Developmental Descriptions of Branching Patterns with Paracladial Relationships. In: Lindenmayer, A., Rozenberg, G. (eds.) Automata, Languages, Development, pp. 57–73. North–Holland, Amsterdam (1976)
Georgiou, A., Gheorghe, M.: Generative Devices Used in Graphics. In: Alhazov, A., Martín–Vide, C., Păun, G. (eds.) Preproceedings of the Workshop on Membrane Computing, Technical Report, vol. 28/03. Research Group on Mathematical Linguistics, Universitat Rovira i Virgili, Tarragona, pp. 266–272 (2003)
Georgiou, A., Gheorghe, M., Bernardini, F.: Membrane–Based Devices Used in Computer Graphics. In: Ciobanu, G., Păun, G., Pérez–Jiménez, M.J. (eds.) Applications of Membrane Computing, pp. 253–282. Springer, Berlin (2006)
Ito, M., Martín–Vide, C., Păun, G.: A Characterization of Parikh Sets of ET0L Languages in Terms of P Systems. In: Ito, M., Păun, G., Yu, S. (eds.) Words, Semigroups, and Transductions, pp. 239–254. World Scientific, Singapore (2001)
von Koch, H.: Sur One Courbe Continue sans Tangente, Obtenue par une Construction Géometrique Élémentaire. Arkiv för Matematik 1, 681–704 (1904)
von Koch, H.: Une Méthode Géometrique Élémentaire pour L’étude de Certaines Questions de la Théorie des Courbes Planes. Acta Mathematica 30, 145–174 (1906)
Lindenmayer, A.: Mathematical Models for Cellular Interaction in Development, Parts I and II. Journal of Theoretical Biology 18, 280–315 (1968)
Lindenmayer, A.: Developmental Systems without Cellular Interaction, Their Languages and Grammars. Journal of Theoretical Biology 30, 455–484 (1971)
Mutyam, M., Krithivasan, K.: P Systems with Membrane Creation: Universality and Efficiency. In: Margenstern, M., Rogozhin, Y. (eds.) MCU 2001. LNCS, vol. 2055, pp. 276–287. Springer, Heidelberg (2001)
Obtulowicz, A., Păun, G.: (In Search of) Probabilistic P Systems. Biosystems 70(2), 107–121 (2003)
Papert, S.: Mindstorms: Children, Computers and Powerful Ideas. Basic Books (1980)
Păun, G.: Membrane Computing – An Introduction. Springer, Berlin (2002)
Pescini, D., Besozzi, D., Mauri, G., Zandron, C.: Dynamical Probabilistic P Systems. International Journal of Foundations of Computer Science 17(1), 183–204 (2006)
Prusinkiewicz, P., Lindenmayer, A., Hanan, J.: Developmental Models of Herbaceous Plants for Computer Imagery Purposes. Computer Graphics 22(4), 141–150 (1988)
Prusinkiewicz, P.: Graphical Applications of L systems. In: Proceedings of Graphical Interface 1986, pp. 247–253. Kaufmann, San Francisco (1986)
Prusinkiewicz, P., Hanan, J.: Lindenmayer Systems, Fractals and Plants. Lecture Notes on Biomathematics, vol. 79. Springer, Berlin (1989)
Prusinkiewicz, P., Lindenmayer, A.: The Algorithmic Beauty of Plants. Springer, Berlin (1990)
Romero–Jiménez, A., Gutiérrez–Naranjo, M.A., Pérez–Jiménez, M.J.: The Growth of Branching Structures with P Systems. In: Graciani–Díaz, C., Păun, G., Romero–Jiménez, A., Sancho–Caparrini, F. (eds.) Proceedings of the Fourth Brainstorming Week on Membrane Computing, Fénix Editora, Sevilla, vol. II, pp. 253–265 (2006)
Salomaa, A.: Formal Languages. Academic Press, London (1973)
Smith, A.R.: Plants, Fractals and Formal Languages. Computer Graphics 18(3), 1–10 (1984)
The P Systems webpage: http://psystems.disco.unimib.it/
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Romero-Jiménez, A., Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J. (2006). Graphical Modeling of Higher Plants Using P Systems. In: Hoogeboom, H.J., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2006. Lecture Notes in Computer Science, vol 4361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11963516_31
Download citation
DOI: https://doi.org/10.1007/11963516_31
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69088-7
Online ISBN: 978-3-540-69090-0
eBook Packages: Computer ScienceComputer Science (R0)