Fast construction of plant architectural models based on substructure decomposition

Plant structure, representing the physical link among different organs, includes many similar substructures. In this paper, a new method is presented to construct plant architectural models of most plant species. The plant structure is decomposed into a stem, a set of lateral substructures and a terminal substructure, which is called substructure decomposition; then based on substructure decomposition, the plant structures are expressed in an iterative way; and further the derivative formula is employed to compute the number of organs in plant structures to get the geometrical sizes of 3D plant organs by borrowing Hydraulic Model. Using 3D organs, a substructure library is built. Based on the substructures stored in substructure library, one can construct 3D plant structure according to certain topological and geometrical rules. The experiments with different plant species are included in this paper to demonstrate the validity of the new method for constructing plant structures. The experimental results show that the approach follows botanical knowledge with high efficiency in constructing plant structures of most plant species. In addition, this method enables users to check the detail information of plant structure.

[1]  Philippe de Reffye,et al.  A functional model of tree growth and tree architecture , 1997 .

[2]  Michael F. Barnsley,et al.  Fractals everywhere , 1988 .

[3]  Jaap A. Kaandorp,et al.  Fractal modelling - growth and form in biology , 1994 .

[4]  A. Lindenmayer Mathematical models for cellular interactions in development. I. Filaments with one-sided inputs. , 1968, Journal of theoretical biology.

[5]  Jason Weber,et al.  Creation and rendering of realistic trees , 1995, SIGGRAPH.

[6]  Zhigang Zhan,et al.  Dual Scale Automaton Model for Virtual Plant Development , 2001 .

[7]  Alvy Ray Smith,et al.  Plants, fractals, and formal languages , 1984, SIGGRAPH.

[8]  Peter S. Ashton,et al.  Tropical trees and forest: An architectural analysis: F. hallé, R.A.A. Oldeman and P.B. Tomlinson. Springer-Verlag, Berlin, Heidelberg, New York, 1978. 441 pp, 111 figs., 10 tables, US $62.50/DM.125.00, ISBN 3-54008494-0 , 1980 .

[9]  Ricki Blau,et al.  Approximate and probabilistic algorithms for shading and rendering structured particle systems , 1985, SIGGRAPH.

[10]  Bao-Gang Hu,et al.  Study on plant growth behaviors simulated by the functional-structural plant model - GreenLab , 2003 .

[11]  Peter Oppenheimer,et al.  Real time design and animation of fractal plants and trees , 1986, SIGGRAPH.

[12]  Przemyslaw Prusinkiewicz,et al.  The Algorithmic Beauty of Plants , 1990, The Virtual Laboratory.

[13]  P. Tomlinson,et al.  Tropical Trees and Forests: An Architectural Analysis , 1978 .

[14]  A. Lindenmayer,et al.  Developmental models of herbaceous plants , 1990 .

[15]  A. Lindenmayer Mathematical models for cellular interactions in development. II. Simple and branching filaments with two-sided inputs. , 1968, Journal of theoretical biology.

[16]  Marc Jaeger,et al.  Plant models faithful to botanical structure and development , 1988, SIGGRAPH.

[17]  Przemyslaw Prusinkiewicz,et al.  Animation of plant development , 1993, SIGGRAPH.

[18]  Prof. Dr. Francis Hallé,et al.  Tropical Trees and Forests , 1978, Springer Berlin Heidelberg.

[19]  Xavier Gérard Viennot,et al.  Combinatorial analysis of ramified patterns and computer imagery of trees , 1989, SIGGRAPH.

[20]  Philippe de Reffye,et al.  Simulation of the growth of plants. Modeling of metamorphosis and spatial interactions in the architecture and development of plants , 1998 .

[21]  Norishige Chiba,et al.  Visual simulation of botanical trees based on virtual heliotropism and dormancy break , 1994, Comput. Animat. Virtual Worlds.

[22]  Tosiyasu L. Kunii,et al.  Botanical Tree Image Generation , 1984, IEEE Computer Graphics and Applications.