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基于Levenberg-Marquardt算法的楊樹枝干建模
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國(guó)家高技術(shù)研究發(fā)展計(jì)劃(863計(jì)劃)資助項(xiàng)目(2012AA1020024)、國(guó)家自然科學(xué)基金資助項(xiàng)目(31300471)和江蘇高校優(yōu)勢(shì)學(xué)科建設(shè)工程資助項(xiàng)目


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

    采用改進(jìn)的Levenberg-Marquardt算法對(duì)楊樹枝干模型進(jìn)行參數(shù)擬合,。為實(shí)現(xiàn)楊樹動(dòng)態(tài)三維可視化,,采用實(shí)地測(cè)量法獲得不同林齡楊樹胸徑,,根據(jù)楊樹胸徑隨林齡生長(zhǎng)變化趨勢(shì)選擇胸徑生長(zhǎng)模型函數(shù),,采用改進(jìn)的Levenberg-Marquardt算法對(duì)其進(jìn)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(guān)系,,根據(jù)趨勢(shì)曲線選擇主枝隨輪枝深度變化的關(guān)系函數(shù),,利用類心形曲線方程建立主枝長(zhǎng)度與輪枝深度之間的關(guān)系,,采用改進(jìn)的Levenberg-Marquardt算法進(jìn)行擬合,。經(jīng)實(shí)驗(yàn)數(shù)據(jù)分析,擬合算法與數(shù)學(xué)模型能較好地對(duì)楊樹枝干生長(zhǎng)進(jìn)行模擬,,并利用OpenGL軟件將動(dòng)態(tài)模擬方程進(jìn)行三維可視化,,可視化效果圖能真實(shí)地反映楊樹生長(zhǎng)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(nóng)業(yè)機(jī)械學(xué)報(bào),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
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