本文同时以直观的几何方法导出坐标变换矩阵，以便于应用。
In this article the transformation matrices of coordinate systems are derived with geometrical method for the purpose of application.
应用这组线性无关的模态集构成坐标变换矩阵，推导出广义坐标下的部件动力学方程。
Using a coordinate transformation matrix, which is formed by these linearly independent mode set, the component equations of motion in generalized coordinates are derived.
本文的方法与现行坐标变换矩阵法相比，变换次数和被变换的向量个数明显减少，从而使计算过程大大简化。
The measure of the text compares the current coordinate matrix, the switch time and the number of switched vector have decreased, so the process was simplified.
给出了用系统的ABCD矩阵元表示的用于进行此坐标变换的表达式和等价的张量形式的WDF的坐标变换矩阵(WCTM)。
The expressions and tensor form coordinate transform matrix of the WDF (WCTM) is given and expressed in terms of the ABCD ray transform matrix elements of the system.
利用矢量代数的方法，推导出以方向余弦为参量的物坐标系到世界坐标系的坐标变换矩阵；利用矩阵求逆的方法，推导出世界坐标系到物坐标系的坐标变换矩阵。
The coordinate transformation matrix based on the direction cosine parameters from the object coordinate system to the world coordinate system is derived by vector algebra.
提出了一种基于矢量运算的新的坐标变换方法，该方法具有不需要计算转换系数矩阵、可逆的特点。
A novel reversible coordinate transform method, need not calculating the transform coefficient matrix, based on vector operation is proposed in this paper.
在坐标变换理论的基础上，提出了切削加工机器人关联矩阵加工理论。
On base of the coordinate alternation theory, the relating matrix machining theory for the cutting robot is described.
在伽例略变换下，巧妙利用零矢量，给出了任意正交曲线坐标系中质点速度和加速度的矩阵表式方法。
Under Galilean transformations, expressions of Veloeities and accelerations in vertical curve Coordinates are derived by the ingenious use of Zero Vector and means of matrix.
根据雅可比矩阵，导出了一种用于机器人坐标系间静力变换的一种简便而实用的方法。
Based on Jacobi matrix, a simple and useful method for the static transformation between coordinate systems of robot is developed.
在机械手实例中，分别采用复指数变换法和坐标矩阵变换法进行求解。
Both complex exponential form transformation and the coordinate matrix transformation are applied to the example of manipulator.
利用这个变换矩阵可以方便地将笛卡尔坐标的张量表达式、微分算子及有关公式变换成正交曲线坐标的相应公式。
Using the cosine transform matrix the Cartesian tensors, differential operators and related equations can be readily transformed into corresponding expressions in orthogonal curvilinear coordinates.
应用坐标旋转变换原理导出了介质片极化器在任意状态下的S矩阵。
The S - matrix of the polarizer composed of circular waveguide and dielectric plate in arbitrarily states is given with rotation transform.
在机器人学的理论基础上，建立了机器人模型的D-H坐标系，并对相邻坐标系间的变换矩阵作了改进，使D-H方法更具有通用性。
D-H coordinate systems of the robot are set up, and the transformation matrixes of near two links are improved on to make D-H method more general.
针对各VRML造型在其局部坐标系中创建，采用变换矩阵实现了造型从局部坐标系下到世界坐标系下的坐标变换。
Because each model in VRML is created in local coordinate system, inconvenient to handle them uniformly, this paper infers a universal formula to transform model coordinates from UCS to WCS.
将所有点对坐标值代入刚体变换线性方程组，用最小二乘法求出从图像空间到手术空间的刚体变换矩阵，最终实现医学图像标志点的自动识别和配准。
Substituting coordinates of all pairs of points into rigid transform equations, one could use least squares to get the rigid transform matrix from image space to surgical space.
本文介绍笛卡尔坐标与正交曲线坐标的“余弦变换矩阵”，证明这个变换矩阵是正交矩阵。
In this paper the cosine transform matrix relating Cartesian coordinates with orthogonal curvilinear coordinates is introduced.
本文介绍笛卡尔坐标与正交曲线坐标的“余弦变换矩阵”，证明这个变换矩阵是正交矩阵。
In this paper the cosine transform matrix relating Cartesian coordinates with orthogonal curvilinear coordinates is introduced. It is shown that this transform matrix is an orthogonal matrix.
用矩阵变换来实现从世界坐标系的运动到机器人关节坐标系运动的映照。
A transformation was used to map the motion in world frame to robot joint frame.
有关矩阵和变换的更详细的讨论，请参见坐标系统和变形。
For a more detailed discussion of matrices and transformations, see Coordinate Systems and Transformations.
根据矩阵理论，对坐标变换和变压器变换进行了统一阐释。
According to matrix theory, a unified interpretation is presented for both coordinate transformation and transformer transformation.
根据矩阵理论，对坐标变换和变压器变换进行了统一阐释。
According to matrix theory, a unified interpretation is presented for both coordinate transformation and transformer transformation.
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