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植物葉片萎蔫過程的物理表示方法
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“十二五”國家科技支撐計劃資助項目(2012BAD35B01)、北京市自然科學基金資助項目(4122033)和北京市科技計劃課題資助項目(Z131100001113035)


Physical Description of Plant Leaf Wilting
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    為定量化描述植物葉片萎蔫的動態(tài)過程,提出一種基于物理模型的描述方法。首先基于植物葉片的三維模型構(gòu)造體素結(jié)構(gòu)用以抽象植物的細胞結(jié)構(gòu),在此基礎(chǔ)上利用質(zhì)點彈簧模型表示細胞之間的受力關(guān)系,然后根據(jù)歐拉-拉格朗日方程描述細胞的運動過程,最后采用隱式紐馬克積分法對方程求解進而得到細胞的三維位置變化。以萎蔫狀態(tài)下葉尖在幾何空間的變化軌跡作為參考屬性進行數(shù)據(jù)驗證,模擬的葉尖運動方向與實測值相差19°,實測的葉尖三維空間位置與模擬結(jié)果的距離差值在0.68cm至3.0cm之間,數(shù)據(jù)表明所提算法得到的葉尖變化軌跡與真實葉尖變化軌跡接近;其次,從視覺角度評價,也可逼真地模擬萎蔫狀態(tài)下葉片三維形態(tài)的變化過程。

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    This paper presented a physical representation for quantitatively simulating the motion of plant leaves, such as wilting and curling. The wilting motion is associated with the contraction and stretching of the plant cells. Fact based, our method modeled the physical morphological changes of the plant cells for describing the wilting motion of leaves. Firstly, a voxel mesh constructed based on 3D leaf model was used to simulate the cell structure of plant leaves. Then, the mass spring structure was applied to express the forces between cells .Finally, The Euler-Lagrange equation was utilized to model the movement process and solved by implicit newmark integration method to get the 3D positions of the voxel mesh. The movement trails of wilted leaf tip in the geometric space were used for data validation. The angular difference between measured motion direction and experimental results was 19°, and the distance between them ranged from 0.68cm to 3.0cm. The experimental data show that movement trails of wilted leaf tip that the method simulated is closed to the real wilted leaf; secondly, evaluating this method from the visual aspects, the algorithm also can realistically simulate the deformation process of plant leaf wilting.

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苗 騰,郭新宇,溫維亮,陸聲鏈.植物葉片萎蔫過程的物理表示方法[J].農(nóng)業(yè)機械學報,2014,45(5):253-258. Miao Teng, Guo Xinyu, Wen Weiliang, Lu Shenglian. Physical Description of Plant Leaf Wilting[J]. Transactions of the Chinese Society for Agricultural Machinery,2014,45(5):253-258.

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  • 收稿日期:2013-07-03
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  • 在線發(fā)布日期: 2014-05-10
  • 出版日期: 2014-05-10