应用平面凸集理论分离植物叶片边界的研究  

A Leaf Boundary Separation Based on the Theory of Convex Set

作　　者：林雪梅[1] 谢利[2] 郭和蓉[2] 刘迎湖[1] 

机构地区：[1]华南农业大学数学与信息学院软件学院,广东广州510642 [2]华南农业大学林学与风景园林学院,广东广州510642

出　　处：《数学的实践与认识》2015年第11期187-192,共6页Mathematics in Practice and Theory

基　　金：广东省科技攻关计划项目"广东省重要兰科资源的收集;保存;鉴评与利用"(2013B060400018);广东市科技成果重点推广计划项目"红掌丛生苗成因分析及其防控措施研究"(2014Y2-00082)

摘　　要：为了研究植物叶片的外观特征,对叶缘的分离进行了研究.首先,通过对叶缘形状的观察,基于类比原则,应用凸集理论中的相关定理,研究发现某种类型对称叶片的叶缘所构成的平面点集中,任意两点的最大距离是叶尖点到叶基与叶柄交点的距离.以此为据,通过matlab编程,有效判别出杂交玉女兰,狗牙花,小叶榕,灰莉以及大红花等植物叶片的叶尖点以及叶基与叶柄的交点,从而实现对称叶片左右边界的分离.方法可以分离一般对称叶片的左右边界,为更好地解决叶片轮廓几何建模问题并为求取叶片特征参数等问题提供技术支持.In order to study the characteristic of plant leaves, to separate the leaf margin was discussed in this paper. Firstly, base on the observation of the leaf margin shape, analogy method and convex set theorem were applied. Our study found that the maximum distance of any two points on planar point set of some symmetrical leaves was obtained at tip point and the intersection of leaf base and petiole. Some plants, e.g., Hybrid Cymbidium, Tabernaemontana divarieate, Ficus microcarpa, Fagraea ceilaniea and Chinese Hibiscus, used our method can effectively to separate the left side and the right side. Our method can provide technical support for blade profile geometry modeling and leaf characteristic parameters calculating.

关 键 词：叶缘 凸集 分离边界 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]