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The experiment results prove that the way with regularization technology is better than the way without regularization technology. In order to overcome the limitation of the regularization method, chapter 6 builds an irregular MRF model suitable for the motion estimation of feature point based on MAP-MRF frame. The energy function, which can reflect the joint probability distribution of motion parameters and the constraints relation of local 3D motion parameters, is established in irregular MRF.

为了解决正则化方法只能分析非刚体局部三维运动的缺点,第6章在基于MAP-MRF的分析框架中建立了与特征点运动估计相对应的非规则MRF模型,构造了非规则MRF模型中反映非刚体局部三维运动参数之间约束关系和运动参数联合概率分布的能量函数,通过能量函数最小化估计运动参数。

In the verification stage, after each estimated transformation is applied, those medians of residual distances between the two mesh surface are calculated, and the transformation corresponding to the minimum is taken as the solution.

刚体变换假设的验证阶段,计算施加每个变换后两个网格面之间的平方残余距离的中值,最终从中选择对应于最小值的刚体变换作为粗略配准问题的解。

The resulting algorithm can be used to tracking the motion of both rigid and nonrigid objects.

算法除可用于跟踪刚体运动之外,也可用于非刚体运动的跟踪。

This work provides a feasible theory thereunder in the displacement analysis of parallel manipulator in advance research.

在各种约束存在条件下,分析了刚体平台相应的运动轨迹形式,为今后对多刚体的形位分析提供了可行的理论依据。

The Brenner potential based MD simulations are performed to study the compression and detaching between the 47°, 69° and 93° carbon nano-cones and one rigid plane , and the configuration, energy and external-loading evolvement during the compression and detaching are obtained.

采用Brenner势的分子动力学方法,模拟了47°、69°及93°锥度碳纳米锥与刚体平面压缩、分离的全过程;获得了三种碳纳米锥与刚体平面作用过程中的构形演变、能量-变形曲线以及力-变形曲线;根据模拟结果,分析了它们承载能力以及变形能力的差异。

The transform matrixes were obtained to converting coordinates between incident plane axes and crystal eigent axes.

刚体中心惯量主轴上任意一点的惯量主轴与刚体的三条中心惯量主轴重合或平行。

Based on the clustering characteristic of rigid transformations computed from each correspondence point pair, the PV method is proposed to estimate initial rigid transformation.

根据从对应点组计算的刚体变换的聚类特性,提出PV方法来估计刚体变换的初值。

Proportionality constant is the moment of inertia.

作用在刚体上的力矩与角加速度成正比,比例常数就是刚体的转动惯量。

Apply the rigid body movement of space and the matrix of loeation tronsformation of space to get the mathematic.

用空间刚体运动及空间位置变换矩阵导出自由刚体运动的教学描述方程。

According to structural characteristics of floating slab tracks, a track segment element was taken between two adjacent fasteners. For each element, rails were regarded as Euler beams supported by discrete viscoelastic supports. The fasteners and rubber supports were replaced by a linear spring and damp. So the vibration model of the floating slab track was established. In constructing vibration model of a metro train, each car of the metro train with two suspensions was modeled as a multi-rigid body system, in which rigid bodies were connected with each other by a linear spring and damp. Combining the potential energy of vertical vibration of the track with that of the metro train, the total potential energy of vertical vibration of the train and track was obtained. And then, the matrix equation of vertical vibration of the system was established using the principle of total potential energy with stationary value in elastic system dynamics and the "set-in-right-position" rule for formulating system matrices. The vibration responses of the system can be obtained by solving the matrix equation with the direct time integration such as Wilson-θ method.

摘 要:针对浮置板式轨道结构特点,取相邻2个扣件之间的轨道为1个轨段单元,钢轨视为连续弹性点支承Euler梁,浮置板视为弹性薄板,扣件系统及橡胶支座均模拟为线性弹簧及粘滞阻尼器,建立浮置板式轨道振动模型;将城轨列车中的车辆均离散为多刚体系统,各刚体之间通过线性弹簧及粘滞阻尼器相连,建立列车振动模型;将浮置板式轨道及列车振动势能叠加,得到系统竖向振动总势能;基于弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则,建立此系统竖向振动矩阵方程;采用Wilson-θ逐步积分法求解此矩阵方程,得出此系统竖向振动响应。

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