[1]刘鹤,雷桢桢,张社奇,等.利用分形维数分析Y形苹果幼树叶片贡献率研究[J].北方园艺,2013,37(11):19-24.
　LIU He,LEI Zhen-zhen,ZHANG She-qi,et al.Study on the Analysis of the Contribution Rate of Leaves of Young Apple Tree Trained to Y shaped Configuration Using Fractal Dimension[J].Northern Horticulture,2013,37(11):19-24.

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利用分形维数分析Y形苹果幼树叶片贡献率研究

《北方园艺》[ISSN:1001-0009/CN:23-1247/S] 卷: 第37卷期数: 2013年11期页码: 19-24 栏目: 出版日期: 2013-06-15

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

文章编号:: 1001-0009(2013)11-0019-06

作者:: 刘鹤¹; 雷桢桢¹; 张社奇¹; 李丙智²; 韩明玉²; 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

Author(s):: LIU He¹; LEI Zhen-zhen¹; ZHANG She-qi¹; LI Bing-zhi²; HAN Ming-yu²; 1.College of Sciences,Northwest Agricultural and Forestry University,Yangling,Shaanxi 712100；
2.College of Horticulture,Northwest Agricultural and Forestry University,Yangling,Shaanxi 712100

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

Keywords:: fractal dimension; leaves spatial distribution; tree architecture; the Contribution Rate of Leaves(CRL); the young apple tree trained to Y shaped configuration

分类号:: S 661.1

文献标志码:: A

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。

Abstract:: vUsing 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 fractal 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.

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备注/Memo

第一作者简介：刘鹤（1986-），男，河北衡水人，硕士研究生，研究方向为环境生物物理学。E-mail:617661787@qq.com.

责任作者：张社奇(1964-)，男，陕西扶风人，博士，教授，现主要从事环境生物物理等研究工作。E-mail:zhangsheqi@nwsuaf.edu.cn.

基金项目：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)

收稿日期：2013-03-06

更新日期/Last Update: 2014-08-16