利用分形维数分析Y形苹果幼树叶片贡献率研究  

Study on the Analysis of the Contribution Rate of Leaves of Young Apple Tree Trained to Y-shaped Configuration Using Fractal Dimension

作　　者：刘鹤[1] 雷桢桢[1] 张社奇[1] 李丙智[2] 韩明玉[2] 

机构地区：[1]西北农林科技大学理学院,陕西杨凌712100 [2]西北农林科技大学园艺学院,陕西杨凌712100

出　　处：《北方园艺》2013年第11期19-24,共6页Northern Horticulture

基　　金：国家农业部"948"资助项目(2011-Z24);国家苹果产业技术体系资助项目(CARS-28)

摘　　要：采用分形理论和图像技术相结合的方法,调查了Y形苹果幼树不同品种、不同方位的分形维数,根据二维图像的分形维数提出了叶片贡献率(CRL)的概念,并将其作为描述叶片在树体结构中空间分布状态的参数。结果表明:5个品种Y形苹果幼树的分形维数对比发现,果树树体结构的分形维数与枝条长度和数量呈正相关的关系,且不同品种的分形维数存在显著差异,5个品种苹果幼树二维图像的分形维数表现为:"长富2号">"玉华早富">"富红早嘎">"烟富6号">"丽嘎啦";二维图像的分形维数侧视图大于正视图;有叶片树和除叶片树的分形维数差异极显著,对于正视图来说,有叶片树的分形维数介于1.592～1.661,除叶片树的分形维数介于1.280～1.405;CRL介于15.13%～19.60%。对于侧视图来说,有叶片树的分形维数介于1.627～1.728,无叶片树的分形维数介于1.329～1.433,CRL介于16.55%～18.87%。表明,叶片贡献率可用来表征叶片在树体结构中的空间分布状态。Using the fractal theory and imaging technology, the different cultivars and viewpoints were indicated, first proposed the new conception of the Contribution Rate of Leaves（CRL）,which was used as a parameter for leaves spatial distribution within the tree architecture. The results showed that,by comparing the fractal dimensions of Y-shaped apple trees among five cultivars,the results revealed that the fractal dimension had the positive correlation with the length and quantity of shoots;there was significant difference of fractal dimensions in different apple cultivars;the comprehensive evaluation showed that ＇ Nagafu 2 ＇〉 ＇ Yuhuazaofu ＇〉 ＇ Fuhongzaoga ＇〉＇ Yanfu 6 ＇ 〉＇ Li Gala＇ ; comparing the fractal dimension front-view and side-view images showed that the fractal dimensions of side-view images were larger than front- view ones;the fraetal dimension varied from 1. 592 to 1. 661 and the CRL varied between 15.13% and 19. 6% for the five cultivars. For the side-view images, the fractal dimensions varied from 1. 627 to 1. 728 and the CRL varied between 16. 55% and 18. 87%. CRL could be characterized as space distribution state in the tree structure.

关 键 词：分形维数 叶片空间分布 树体结构 叶片贡献率(CRL) Y形苹果幼树 

分 类 号：S661.1[农业科学—果树学]