Combining Finite Element Method and L-Systems Using Natural Information Flow Propagation to Simulate Growing Dynamical Systems

Jean-Philippe Bernard; Benjamin Gilles; Christophe Godin

doi:10.1007/978-3-319-13749-0_19

Combining Finite Element Method and L-Systems Using Natural Information Flow Propagation to Simulate Growing Dynamical Systems

Jean-Philippe Bernard ¹ Benjamin Gilles ^{2, 3} Christophe Godin ¹

1 VIRTUAL PLANTS - Modeling plant morphogenesis at different scales, from genes to phenotype

CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique, Centre de coopération internationale en recherche agronomique pour le développement [CIRAD] : UMR51

2 ICAR - Image & Interaction

LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier

3 LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier

Abstract : This paper shows how to solve a system of di↵erential equa-tions controlling the development of a dynamical system based on finite element method and L-Systems. Our methods leads to solve a linear system of equations by propagating the flow of information throughout the structure of the developing system in a natural way. The method is illustrated on the growth of a branching system whose axes bend under their own weight.

Type de document :

Communication dans un congrès

Adrian-Horia Dediu, Manuel Lozano, Carlos Martin-Vide. Theory and Practice of Natural Computing, Dec 2014, Granada, Spain. Springer, 8890, pp.218 - 230, 2014, Proceedings of Theory and Practice of Natural Computing 2014. 〈grammars.grlmc.com/tpnc2014/〉. 〈10.1007/978-3-319-13749-0_19〉

Domaine :

Informatique [cs] / Modélisation et simulation

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https://hal.inria.fr/hal-01096602
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Jean-Philippe Bernard, Benjamin Gilles, Christophe Godin. Combining Finite Element Method and L-Systems Using Natural Information Flow Propagation to Simulate Growing Dynamical Systems. Adrian-Horia Dediu, Manuel Lozano, Carlos Martin-Vide. Theory and Practice of Natural Computing, Dec 2014, Granada, Spain. Springer, 8890, pp.218 - 230, 2014, Proceedings of Theory and Practice of Natural Computing 2014. 〈grammars.grlmc.com/tpnc2014/〉. 〈10.1007/978-3-319-13749-0_19〉. 〈hal-01096602〉

Combining Finite Element Method and L-Systems Using Natural Information Flow Propagation to Simulate Growing Dynamical Systems

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Combining Finite Element Method and L-Systems Using Natural Information Flow Propagation to Simulate Growing Dynamical Systems

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