基于Levenberg-Marquardt算法的杨树枝干建模  

Poplar Branch and Trunk Modeling Based on Levenberg-Marquardt

作　　者：胡春华[1] 李萍萍[2] 朱咏莉[2] 

机构地区：[1]南京林业大学信息科学技术学院,南京210037 [2]南京林业大学森林资源与环境学院,南京210037

出　　处：《农业机械学报》2014年第10期272-276,271,共6页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家高技术研究发展计划(863计划)资助项目(2012AA102002-4);国家自然科学基金资助项目(31300471);江苏高校优势学科建设工程资助项目

摘　　要：采用改进的Levenberg-Marquardt算法对杨树枝干模型进行参数拟合。为实现杨树动态三维可视化,采用实地测量法获得不同林龄杨树胸径,根据杨树胸径随林龄生长变化趋势选择胸径生长模型函数,采用改进的Levenberg-Marquardt算法对其进行参数拟合。采用图像处理方法获得不同枝与主干之间的关系,根据趋势曲线选择主枝随轮枝深度变化的关系函数,利用类心形曲线方程建立主枝长度与轮枝深度之间的关系,采用改进的Levenberg-Marquardt算法进行拟合。经实验数据分析,拟合算法与数学模型能较好地对杨树枝干生长进行模拟,并利用OpenGL软件将动态模拟方程进行三维可视化,可视化效果图能真实地反映杨树生长过程。The improved Levenberg-Marquardt algorithm was used to estimate the parameters of poplar branch and trunk modeling.To achieve a dynamic three-dimensional visualization of poplar,amount of diameters were obtained by measuring different poplars forest age.According to the growth trend of diameters,the function of diameter growth was built using the improved Levenberg-Marquardt algorithm.A class of heart-shaped curve equation was proposed,and the relationship function between the main branch length and the depth of the sticks was obtained using the improved Levenberg-Marquardt algorithm.A lot of comparison experiments were carried out,and the results demonstrated that the fitting algorithms and mathematical models selected could better simulate the growth of poplar branches.The three-dimensional visualization of poplar was realized with dynamic simulation equation,and the results validated the effectiveness of poplar growth modeling.

关 键 词：杨树 LEVENBERG-MARQUARDT算法 三维可视化建模 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]