欧拉角

利用3个非共线设置的特征光标和单个CCD相机来获取空间物体的三维信息，采用广义欧拉角（布利恩角）来描述主机的对中姿态。

Using three non-collinear reference points and a charge coupled device ( CCD ) camera to get the 3D information of a body , the alignment attitude of a main propulsion engine is described with Euler angles .

采用欧拉角模型、四元数模型和反对称矩阵简化模型进行了IMU偏心角的两步法检校，结果表明本文提出的欧拉角严格模型具有较高的精度。

The Euler angles , unit quaternion and antisymmetric matrix three approaches have been introduced for two-step IMU misalignment calibration , experimental results show that the rigorous IMU misalignment mathematical model described by Euler angles proposed in this paper has better precision . 3 .

基于四元数描述刚体的姿态，对6-SPS并联机器人姿态奇异做了研究，避免了欧拉角描述刚体姿态时的奇异性。

Based on the representation of unit quaternion to orientation of rigid body , the orientation-singularity is researched in the paper .

以杆中心线的Frenet坐标系为参考系，建立用欧拉角描述的弹性杆动力学方程。

The dynamical equations of the rod described by the Euler 's angles are established in the Frenet coordinates of the centerline .

该文给出了DVE中常用的坐标系统，地心坐标系、测地坐标系、拓扑坐标系、实体坐标系和欧拉角定义，并推导了它们之间的转换公式。

This paper gives the definition of coordinate systems usually used in DVE , which are geocentric coordinate system , geodetic coordinate system , topology coordinate system , entity coordinate system and euler angle , then deduces the conversions among them .

从控制角度综评方向余弦、欧拉角、四元数和Rodrigues/修正Rodrigues参数几种常用姿态描述动态方程，指出各种方法的优缺点，及相互转化。

Several common description methods for rotational kinematics are discussed in control point , such as direction cosine matrix , Euler angles , quaternions and Rodrigues / Modified-Rodrigues parameters . Transformation relationships , advantages and disadvantages among those methods are discussed .

本文导出了各种旋转切割晶片欧拉角εγψ与晶片表面结晶面网指数hkl的关系，为电声应用中实际晶片的切割与定向提供了方法和依据。

In this paper , relations between the Eulerian angles ε, γ, ψ, of a rotation-cut crystal plate and its indices of crystal plane are deduced , thus providing the bases and methods for cutting and orientating of actual crystal plate in the electro-acoustic technique .

这里欧拉角可以用来表示任意大的转动。

The Euler angles could be expressed with arbitrarily large rotations .

关节角度通常用欧拉角描述。

Three-dimensional joint rotations have been mainly described by Euler angles .

基于矢量观测确定卫星轨道姿态：欧拉角估计器

Determination of satellite orbital attitude from vector observation : Euler-angle estimator

应用欧拉角表达步行机器人系统的机械模型

Using Euler angles to express mechanical model of walking robot system

万向节锁是一种容易影响到欧拉角表现的现象。

Gimbal lock is a phenomenon that easily affects Euler angle representations .

一种新的全角度四元数与欧拉角的转换算法

A New Large-scale Transformation Algorithm of Quaternion to Euler Angle

关节的转动角度采用了欧拉角表述。

Euler angles are adopted to describe the joint movements .

绕任意轴μ旋转φ对应的欧拉角的新求解公式

New formulae of Euler angle related to rotating φ around arbitrary axis μ

同时给出了欧拉角和四元数之间的转换关系及相关定义。

Meanwhile , the transition between Euler Angle and Quaternion has been given .

基于欧拉角的炮弹位姿参数光学测量解析算法

Optical Measurement of Closed-form Method for Pose Parameters of the Projectile Based on Europe

基于欧拉角变换的脑外科机器人系统手术规划方法

Operation planning approach of brain surgery robot system based on adjustment of Euler angle

三轴刚性地球自由旋转欧拉角变化数值模拟研究

Numerical Simulation on the Free Rotation of The Earth as a Triaxial Rigid Body

电力拖动反馈控制技术航天器姿态机动的拟欧拉角反馈控制

Quasi-euler-angles feedback control of spacecraft attitude maneuver

本文利用欧拉角变换的方法推导出正变换方程；

In this paper , the regular transformation equation is set up by applying Euler transformation matrix .

对用欧拉角描述人体髋关节运动论点的商榷

Deliberation on the thesis about " describing hip joint motion of the human body with Euler angle "

在刀具加工圆轨迹的情况时，会出现欧拉角不连续的现象，文中对此提出解决方法。

The problem of discontinuousness of Euler angle when tooling along circle trace is solved in this paper .

通过四元数到欧拉角的转换，给出了仿真中四元数的积分初值计算公式；

Calculation formula of quaternion integral initial values in simulation was put forward through quaternion to Euler angle conversion .

微型无人直升机系统往往通过换算机载的罗盘、三个加速度计和三个陀螺的实时输出来得出微型无人直升机机体的实时欧拉角值。

To estimate the realtime Euler angles , we make use of a compass three accelerometers and three gyros .

本文引入了四体系统内部变换系数和准欧拉角的概念。

The concepts of internal transformation brackets of 4-body systems and quasi-Eular angle have been introduced in this paper .

得到了以向量式表示的、完全消除欧拉角的飞机本体运动数学模型。

A new model of rigid aircraft motion , in form of vectors , eular angles totally eliminated , was proposed .

常用的姿态描述参数主要有欧拉角，修正罗德里格斯参数，方向余弦，四元数等。

The common attitude parameters are Euler angles , modified Rodriguez parameters , direction cosines , and quaternions and so on .

分别介绍了欧拉角法、方向余弦法、四元数法和等效旋转矢量法的解算原理和步骤。

Introduce the principium and method of Euler angle algorithm , direction cosine algorithm , Quaternion algorithm , and Rotation Vector algorithm .

在求解逆运动学问题中，通过合理增加控制中的几何约束条件简化了求解过程，从而有效避免了欧拉角描述运动可能产生的奇异性问题，保证了解的有效性。

Besides , Geometry constrains are added to solve the inverse kinematics problems , which results reliable and faster algorithms avoiding singularity problems .