查询词典 coordinate transformation

The reason why quaternion is used in flight simulation of fighter aircraft and the geometric meaning of quaternion are described,according to axis system used in flight simulation of fighter aircraft in China,three problems are introduced as follows:(1) quaternion kinematic equations,(2) relationship of quaternion and coordinate transformation matrix,(3) Euler angles in terms of quaternion.

阐述了在战斗机的飞行仿真中采用四元数的原因和四元数的几何意义，并按照中国战斗机飞行仿真中采用的坐标系，介绍了三个问题：四元数运动学方程；四元数与坐标变换矩阵的关系；用四元数表示的欧拉角。

Shanghai Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Shanghai 201800,ChinaThe method of numerical simulation based on coordinate transformation and diffraction theory was adopted to analyze the beam characteristics of waveguide lasers with hard-edge unstable resonators.Output beam quality was investigated considering non-uniform pumping and gain saturation.

基于衍射理论和坐标变换，采用数值模拟的方法分析了硬边非稳腔平面波导激光器的光束特性，研究了存在非均匀抽运和增益饱和时，输出激光的光束质量。

As to the space curve coils the arbitray right line and circles to obtain the rotational surface ∑, the body of rotational through ∑ s surround into(the part sealing off does not put the back plane disc), the integration formula about area of rotational surface and volume of the body of rotation are given by using coordinate transformation and Infinitesimal method.

利用坐标变换与微元法得到了空间曲线绕任一直线旋转所得旋转曲面∑的面积公式，以及由∑所围旋转体的体积公

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先，作者针对机器人的设计要求提出了多个方案，对其进行分析比较后，选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计；其次，进行了运动学分析，用D-H方法建立了坐标变换矩阵，推算了运动方程的正、逆解，运用VC++制作了正、逆运动学求解的求解界面；并且用微分变换法推导了速度雅可比矩阵；在基于机器人的运动学的轨迹规划中，通过在操作空间的规划，提出了归一化因子来求解中间结点，通过它可以使求解中间结点变得更简单，并且赋予这些中间结点实际的物理含义，对于规划中精确性和实时性的矛盾，提出了以误差极限法和反向插值法来解决的方法；为了减少规划过程中计算量，在关节空间进行三次样条插值；然后借助图解法进行工作空间分析，作出了实际工作空间的轴剖图。

In this paper, the basic principles of vector control, coordinate transformation, the mathematical model induction motor control and fuzzy theory, for vector control characteristics, the design of a rate based on fuzzy logic controller to form a new vector control system, using MATLAB / SIMULINK Software simulation analysis.

本文阐述了矢量控制的基本原理、坐标变换、异步电机的数学模型以及模糊控制理论，针对矢量控制特点，设计一个基于模糊逻辑的速度控制器来组成新的矢量控制系统，利用MATLAB/SIMULINK软件进行仿真分析。

The carriage positioning was finished, the coordinate transformation matrix of the bucket relative to the ground and the digging depth were obtained and it is easy to make the three-dimensional trace control of the hydraulic excavator bucket easy.

然后，推导该定位车体位姿下铲斗坐标系相对于大地的坐标变换矩阵，导出挖掘深度定位公式，实现了挖掘机挖掘轨迹的三维空间定位，为实现挖掘机的三维空间轨迹精确控制与挖掘深度控制打下了基础。

A new rule -Rule of Left Multiplication is presented in the process of modeling by the method of the coordinate transformation .

本文通过严密地推导，首次建立了包含艏摇的完整的三自由度船摇自稳定模型，弥补了现有资料只针对横摇和纵摇建模的不足。

Complex function method and multi-polar coordinate transformation are used to study the Green function of a fixed rigid circular inclusion in right-angle planar space under an anti-plane point loading on the horizontal straight boundary.

利用复变函数法、多极坐标移动技术研究了直角平面区域内含有固定圆形夹杂时的反平面问题Green函数解。

In the process of solving this problem, we established a mathematical model of graphics coordinate transformation, using the least square method to determine the target on the properties of the geometric center of the image in the camera image plane coordinates.

在处理这个问题的过程中偶们建立了图形坐标变换的数学模型，采用最小二乘法来确定靶标上物的几何中心在相机像平面的像坐标。

In the process of solving this problem we established a mathematical model of graphics coordinate transformation, using the least square method to determine the target on the properties of the geometric center of the camera image plane of the image coordinates.

在解决这个问题的过程中我们建立了图形坐标变换的数学模型，采用最小二乘法来确定靶标上物的几何中心在相机像平面的像坐标。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。