Research On The Plant Branching Pattern Based On L-system

As one of the integral part of human living environment,plants support our lives and theiruses are related to our lives.Along with the research and development of virtual technology andSimulation Technology,virtual plant modeling has become a hot topic in human studies.Virtualplant model is developed with Botany,ecology,agronomy,applied mathematics,computergraphics and many other interdisciplinary.The construction of the virtual plant model has mainthree steps:Firstly,simulating the topology of plant,getting the number and positions of variousorgans of the plant;Secondly,the geometric shape of various organs and their spatialorientation;Thirdly,having the Visual simulation for plant,that is to say the realization of theVisual system.Plant branch is one of the hallmarks of plant morphology.Different plants,its branch modelare different,as well as their branch morphology.Having simulation on the plant branchingmorphology is the simulation on the basic skeleton of the plant, and is the foundation of virtualplant simulation.Quantitative study on the growth rule of plants can predict somecomprehensive index of plant in different growth environment,Such as:crop yield,biomass, suchas the number of organs.The parameters of virtual plant model are very complex,so it requiresthe high computer performance,and the application in the related fields of plant morphologicalstructure has more advantages,and in many fields of precision agriculture, landscape design hasbroad application prospect.From the perspective of plant taxonomy,the plant divides into herbaceous plant and woodyplant, and their branch morphology is just as diverse,general including the branch betweenbranches (usually indicated by this branch with wood),the branch between the branches andleaves,the branch between leaves and leaves.From an overall perspective of plantmorphological,this paper use this branch without wood.Regardless of herbaceous plants or woody plants,there are four main branches,includingmonopodial pattern,sympodial pattern,polypodial pattern,terminal pattern.In this paper,the mainjobs are:we analyze and summarize the characteristics of sympodial pattern and monopodialmode of woody plants, and according to their respective characteristic, we extract theparameters that control the plant branching, and we introduce random variables which can makethe tree branch number randomly generated, the different parameter values can forms begenerated, in uniaxial simulation with B spline expression method, can generate bendingbranches, end of each pattern trees by programming, simulation system is developed to realize single shaft the axis of a tree. The specific work is as follows:1.Structure the L-system of sympodial pattern treeAccording to the photos we have observed and collected,we have analyzed andsummarized the characteristics of the sympodial pattern tree.According to the characteristics ofsympodial pattern tree, we have structured the L-system that expressing the sympodialbranching tree,and we extract the parameters that controlling the sympodial pattern tree, andthen we introduce the random variable,that makes the number of tree model branchinggenerated randomly, and you can control the spanning tree by changing the parameter values ofthe shape,that is to say the users can make the system generate the corresponding parametersshapes of trees by changing the parameter value.2.Structure the monopodial L-system and generate the bending branchesAccording to the photos we have observed and collected,we have analyzed andsummarized the characteristics of the monopodial tree.According to the characteristics ofmonopodial tree, we have structured the L-system that expressing the L-system for monopodialbranching tree.Combined with B spline theory and its the characteristics such as smooth,convex hull, local control and so no, we realize the bending branch shape.3.Writing the experiment simulation programWe have developed a simple simulation system that realizing the sympodial pattern andsingle axle mode tree with the functions of parameter controlling, the number of branchrandomly generated,and branch bending processing.we still have designed the user interfacethat make users operate conveniently, and the users can select or change each parameter groupor change parameter values of every parameter group to control the tree shape, realized thesimulation of different plant morphology,and obtained good results.The research of this paper has made some progress in the general model structure of plantbranching morphogenesis,vigorously promote the development and application of plantsimulation technology.