关键词: 重力场, 材料力学, 三维, 弯曲树枝, 分形树根

Abstract: The shape of a tree is mostly determined by the reality to the nature layout of branches. In order to simulate a 3D tree branch to mimic the natural tree shape, using the theory of fractal algorithm and mechanics of material, a simulating method for the 3D's bending branch and fractal root based on the gravity field was proposed. The stress state of the branch was reflected by its bending degree. Bending degree could be controlled by changing the value of Young's modulus. Also, with X3D and Java, fractal algorithm combined with Extrusion node of X3D was used to simulate the geotropism of the bending root. A realistic 3D tree can be easily created with some input data using our simulation. By using the close relationship of the tree's underground part and upper part, a simulation method of gravity's effect on the tree shape was established. The experimental results show that the method can easily generate realistic three-dimensional form of fractal trees.

Key words: gravity field, mechanics of materials, 3D, bending branch, fractal root