一种基于叶脉形状函数的叶片形态模拟改进方法  

Improved Method for Blade Shape Simulation Based on Vein Shape Function

作　　者：王华[1] WANG Hua(School of Computer Science and Technology,Zhejiang University of Technology,Hangzhou 310023,China)

机构地区：[1]浙江工业大学计算机科学与技术学院

出　　处：《计算机科学》2019年第B06期234-238,共5页Computer Science

摘　　要：植物叶片的薄片状结构使得叶片的二维形态更加引人注意,但叶片的弯曲、凹凸等三维形态特征同样是叶片形态的重要组成部分。文章对Runions等提出的二维平面内植物叶片形态的模拟方法做出了改进,提出了一种基于叶脉形状函数的叶片形态模拟方法,将叶片形态的模拟扩展至三维空间。首先,用B样条曲线为不同等级的叶脉指定其在第三维方向的形状函数,得到具有三维形态的叶脉;之后,根据叶脉结构移动叶片边缘,得到边缘的三维形态。再用约束Delaunay三角化算法和Loop细分算法分别对叶面进行三角化、网格平滑细分处理,生成叶面网格模型。最终得到具有三维形态的植物叶片模型。实验表明,该方法能够有效地生成多种形态的三维植物叶片模型,可用于真实植物叶片的形态模拟。The shape of plant leaves is mostly flaky,which makes the two-dimensional shap of the leaves more attractive.However,the three-dimensional shapes of the leaves,such as bending and concave and convex,are also an important part of the blade morphology.Based on the simulation method proposed by Runions et al.for plant leaf morphology in a two-dimensional plane,a three-dimensional blade shape simulation method based on vein shape function was proposed.Firstly,the B-spline curve is used to specify the shape function in the third dimension for different grades of veins,and the veins with three-dimensional shape are obtained.The blade edge is then moved according to the vein structure to obtain the three-dimensional shape of the edge.Then the edge and the vein are sampled.The constellation Delaunay triangulation algorithm is used to construct the foliar triangle mesh,and the Loop subdivision algorithm is used to perform the mesh smooth subdivision processing to generate a smooth foliar mesh model.A plant leaf model with a three-dimensional morphology can then be obtained.Experiments show that this method can effectively generate three-dimensional plant leaf models of various forms,which can be used for morphological simulation of real plant leaves.

关 键 词：植物建模 形状函数 L系统 B样条曲线 约束DELAUNAY三角化 LOOP细分 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]