Research On The Virtual Plant Modeling Method Based On Fractal Characteristic

The fractal thought has a long history, however, the fractal theory is a completely newtheory which developed by nearly thirty years, describing the disorder, complex, irregular, withfine structure geometry form in the nonlinear systems, revealing the unity of order anddisorder, deterministic and stochastic, to study the internal relations of complex things in natureand objective law provides a new concept and method. Fractal plants is an indispensable part ofnature, which closely related to human life, its shape simulation has been a research focus.Although the nature of plant morphology is complexity and diversity, but mostly of plants’structure and essence have self-similarity fractal characteristics, which can use the fractaltheory to explain research easily. In recent years, with the study on research fractal theorydeeply and the range of applications expanding, plant simulation has been widely used incomputer simulation, artificial intelligence, virtual reality, agroforestry research, business,environmental protection, education, entertainment areas such as widely used, and has a verybroad application prospects.Based on the fractal characteristics of the virtual simulation plants form put the plantindividual or group as the research object, through quantifying the biological characteristics andstructural features conduct the visualization modeling and simulation of the topologicalstructure of plant, geometry, the dynamic growth of plants, the random growth press and so on,Based on the fractal characteristics of the virtual simulation plants form are based on computertechnology as the center, built the cross-over study in applied Geometry, statistics, biology,bioinformatics and on the basis of other subjects. The study of virtual plants not only make theagroforestry information received extensive development, but also provide a strong basis forfurther exploration of biology research. Therefore, the study of plant morphology virtualmodeling method based on fractal characteristics can enrich fractal plant modeling, and haveextremely important research value and far-reaching significance on efficient analog andfidelity simulation using of plant morphology.The modeling method based on the fractal characteristics of the virtual plants morphologyis the plant graphics using fractal characteristics of the plant’s own generating structure plantactually through a use of certain iterative algorithm. At present, the common method of fractalplant simulation have L-system, iterated function systems, particle systems, diffusion limitedaggregation model, reference axis model, multiscale kiosk model and so on. This article use L- system which is more flexible in modeling of fractal plants by measuring and applying thefractal plant data of entities, used Logistic growth equation and MC random methods forexpressing dynamic growth process of plants, applied B-spline curve to the visualize simulationof the plants’ bending characteristics. The research work of this paper includes five parts:1. In-depth research and analysis on the Fractal theoryThrough deeply understanding of fractal theory, summarized the basic properties of fractaland the main research methods, the basic algorithm fractal, the fractal characteristics of fractalplants. Through analysis of the fractal nature of plant characteristics and deeply study of thetheoretical basis of plant morphology and expression modeling methods, established clear linesof study and research.2. Using the L-system modeling and fractal plant physiological and morphology to modelCombined the advantages of L-system on the expression of fractal plants morphologicalstructure and the practical biological experimental data, expressed topology and geometry ofplants by apply L-system, reproduced the growth of plants not only can enrich and develop L-systems theory, but also extend the field of biology research.3. Dynamic model and quantify the process of plant growth controllableUsing the Logistic growth equation and MC stochastic methods, obtained the statisticalcharacteristics which in line with the growth of plants by measuring the real data, andquantified and simulated the plant dynamics growth. Used the plants growth node as the initialstate, establishmented the growth rules of complete branch by the parameter L-system andrandom L-systems, analoged the morphology of topology on virtual plant.4. The bending plant branches on the three-dimensional spaceUsing B-spline curve expressed the plants branches bent form, reproduced the naturalbeauty of plants, and controlled the plant branches bending by sub L-system. Making plantshave a more realistic three-dimensional visual effects.5. The simulation and applicationUsing VC++on the growth of fractal plants modeling, improved method to achieve thedifferent forms of fractal plant simulation through L-system.