植物叶片萎蔫过程的物理表示方法
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“十二五”国家科技支撑计划资助项目(2012BAD35B01)、北京市自然科学基金资助项目(4122033)和北京市科技计划课题资助项目(Z131100001113035)


Physical Description of Plant Leaf Wilting
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    摘要:

    为定量化描述植物叶片萎蔫的动态过程,提出一种基于物理模型的描述方法。首先基于植物叶片的三维模型构造体素结构用以抽象植物的细胞结构,在此基础上利用质点弹簧模型表示细胞之间的受力关系,然后根据欧拉-拉格朗日方程描述细胞的运动过程,最后采用隐式纽马克积分法对方程求解进而得到细胞的三维位置变化。以萎蔫状态下叶尖在几何空间的变化轨迹作为参考属性进行数据验证,模拟的叶尖运动方向与实测值相差19°,实测的叶尖三维空间位置与模拟结果的距离差值在0.68cm至3.0cm之间,数据表明所提算法得到的叶尖变化轨迹与真实叶尖变化轨迹接近;其次,从视觉角度评价,也可逼真地模拟萎蔫状态下叶片三维形态的变化过程。

    Abstract:

    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 腾,郭新宇,温维亮,陆声链.植物叶片萎蔫过程的物理表示方法[J].农业机械学报,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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  • 在线发布日期: 2014-05-10
  • 出版日期: 2014-05-10