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基于Levenberg-Marquardt算法的楊樹枝干建模
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國家高技術研究發(fā)展計劃(863計劃)資助項目(2012AA1020024)、國家自然科學基金資助項目(31300471)和江蘇高校優(yōu)勢學科建設工程資助項目


Poplar Branch and Trunk Modeling Based on Levenberg-Marquardt
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    摘要:

    采用改進的Levenberg-Marquardt算法對楊樹枝干模型進行參數(shù)擬合。為實現(xiàn)楊樹動態(tài)三維可視化,采用實地測量法獲得不同林齡楊樹胸徑,根據(jù)楊樹胸徑隨林齡生長變化趨勢選擇胸徑生長模型函數(shù),采用改進的Levenberg-Marquardt算法對其進行參數(shù)擬合。采用圖像處理方法獲得不同枝與主干之間的關系,根據(jù)趨勢曲線選擇主枝隨輪枝深度變化的關系函數(shù),利用類心形曲線方程建立主枝長度與輪枝深度之間的關系,采用改進的Levenberg-Marquardt算法進行擬合。經實驗數(shù)據(jù)分析,擬合算法與數(shù)學模型能較好地對楊樹枝干生長進行模擬,并利用OpenGL軟件將動態(tài)模擬方程進行三維可視化,可視化效果圖能真實地反映楊樹生長過程。

    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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胡春華,李萍萍,朱詠莉.基于Levenberg-Marquardt算法的楊樹枝干建模[J].農業(yè)機械學報,2014,45(10):272-276,271. Hu Chunhua, Li Pingping, Zhu Yongli. Poplar Branch and Trunk Modeling Based on Levenberg-Marquardt[J]. Transactions of the Chinese Society for Agricultural Machinery,2014,45(10):272-276,271.

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  • 收稿日期:2013-12-03
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  • 在線發(fā)布日期: 2014-10-10
  • 出版日期: 2014-10-10