基于Levenberg-Marquardt算法的杨树枝干建模
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国家高技术研究发展计划(863计划)资助项目(2012AA1020024)、国家自然科学基金资助项目(31300471)和江苏高校优势学科建设工程资助项目


Poplar Branch and Trunk Modeling Based on Levenberg-Marquardt
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    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。

    Abstract:

    The improved LevenbergMarquardt 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 LevenbergMarquardt 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.

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胡春华,李萍萍,朱咏莉.基于Levenberg-Marquardt算法的杨树枝干建模[J].农业机械学报,2014,45(10):272-276,271.

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  • 收稿日期:2013-12-03
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  • 在线发布日期: 2014-10-10
  • 出版日期: 2014-10-10