quaternion
Builds a matrix from a quaternion.
使用一个四元数生成一个矩阵。
Creates the norm of a quaternion.
创建四元数的模方。
Calculates the exponential of a quaternion.
计算四元数的幂。
Calculates the natural logarithm of a quaternion.
计算四元数的自然对数。
Returns the conjugate of a quaternion.
返回四元数的共轭。
Returns the length of a quaternion.
返回四元数的长度。
Returns the length of the current quaternion.
返回当前四元数的长度。
Returns the length of the specified quaternion.
返回指定四元数的长度。
Returns the negation of the specified quaternion.
返回指定四元数的取非值。
Returns the square of the length of a quaternion.
返回四元数的长度的平方。
Computes the axis and angle of rotation for a quaternion.
计算四元数的轴和旋转角度。
Multiplies the current quaternion by the specified quaternion.
将当前四元数与指定四元数相乘。
Replaces the current quaternion with its exponential.
用当前四元数的幂替换此四元数。
Replaces the current quaternion with its natural logarithm.
用当前四元数的自然对数替换此四元数。
Calculates the exponential of the specified quaternion.
计算指定四元数的幂。
Returns the normalized form of the specified quaternion.
返回指定四元数的正规化形式。
Returns the square of the length of the current quaternion.
返回当前四元数的长度的平方。
The norm of a quaternion is similar to that of a vector.
四元数的平均值与矢量的有点相似。
A quaternion can be used to represent any arbitrary rotation.
四元数可用来表现所有形式的旋转。
In addition to the obligatory matrix class, a quaternion class also exists.
除了必须的矩阵类,还有四元数类。
They use quaternion to avoid the problem of singularity from Eurlar angles.
采用四元数避免了欧拉角法的奇异问题；
The first,the system dynamic model,which is expressed in quaternion,is given.
首先给出了以四元数表示的系统动力学模型；
Quaternion can avoid gibbs lock if you use euler angle to rotate 3d model.
四元数可避免吉布斯锁如果您使用的欧拉角旋转三维模型。
Structure passed by reference, that identifies axis of rotation of the quaternion.
结构,标识该四元数的旋转轴。
A quaternion also represents the most efficient rotation to interpolate between two orientations of an object.
四元数还表示可在一个对象的两个方向之间插入的最有效的旋转。
To avoid the singular problemfrom Euler angle, quaternion parameterization is implemented to describe the attitude.
为了避免欧拉角带来的奇异问题,采用四元数描述卫星的姿态参数。
So, dual Euler method is better than quaternion method in the solution of the singularity of the Euler equation.
因此，对于解决欧拉方程奇异性来讲，双欧法要优于四元数法。
In this paper, the quaternion is taken for positional parameters to control the attitude of a spacecraft.
摘要以四元数作为定位参数对航天器进行姿态控制。
If the norm is 1, you have a so-called unit quaternion (just as you would have a unit vector).
假如平均值为1，你就得到所谓的单位四元数（正象单位矢量）。
There are two applications to the RB.One is array processing and the other is quaternion finite field transform.
双复数有两种运用，一个用在阵列信号处理，另一个则用在四元有限场转换。
Quaternion definition and geometry meaning were described and quaternion movement equation was introduced.
阐述了四元数的定义、几何意义及四元数表示的运动学方程。
LIU Jian-zhou.Matrices over quaternion division ring and theory of majorization [J].Acta.Math.Sinica, 1992, 6: 831-838.
[1]刘建洲.四元数体上的矩阵及其优化理论 [J].数学学报, 1992, 6: 831-838.
Furthermore the multiplicative commutativity of the generalized quaternion algebras is proved.
推出了广义四元数矩阵乘法的可易性。
Of arithmetic expressions and assignment statements and generate semantic analysis of quaternion sequence.
对算术表达式和赋值语句进行语义分析并生成四元式序列。
Visual modeling and simulation of coaxial optic system based on quaternion method[J].
引用该论文 宋文超,贾建援,王迎昆,陈贵敏.
Errors of the omnidirectional attitude motion of missile were studied based on error quaternion method.
摘要基于四元数误差分析的方法，研究了导弹姿态扰动情况下全方位运动的误差问题。
In this paper,the quaternion is taken for positional parameters to control attitude of the space station.
以四元数作为定位参数对空间站进行姿态控制。
It is studied factorizing a matrix over quaternion field to the product of two self-conjugate matrices. And some useful results are obtained.
摘要研究了四元数矩阵分解为两个自共轭矩阵乘积，其中有一个是非奇异阵的条件，得到了一些有用的结果。
The rotation dynamic and quaternion kinetic equations of spacecrafts were educed according to the principles of variable-structure control.
根据滑动模态变结构控制原理，导出了航天器三轴动力学和四元数姿态运动学方程。
This paper studies comparatively dual Euler method and quaternion method which are used for the solution of the singularity of the Euler equation.
对解决欧拉方程奇异性的双欧法和四元数法进行了对比研究。
In the paper the generalized numerical radiuses of real quaternion matrices with symmetric function are defined and theirs inequalities are given.
本文定义了带有对称函数的实四无数矩阵的广义数值半径并得到了它们所满足的不等式.
Two extended Kalman filtering (EKF) algorithms are designed.One incorporates rate measurement while the other relays on differencing quaternion.
设计了有陀螺测量和基于四元数差分法的无陀螺测量2种广义卡尔曼滤波器(EKF)；
Calculation formula of quaternion integral initial values in simulation was put forward through quaternion to Euler angle conversion.
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；
First, a variation-the error quaternion vector can be attained.The non-single question of the end attitude of the spacecraft can be solved.
首先导出了误差四元数矢量，从而解决了航天器姿态控制中最终姿态表示的非单值性问题；
When optimizing synchro update of the quaternion, the quaternion differential equation is calculated by using minimum parametric method.
采用最小参数法求解四元数微分方程，优化了四元数实时更新算法。
The quaternion is extracted from the direction cosine matrix;it"s a simple way of optimizing initial extraction of the quaternion.
通过最佳归一化处理，避免了姿态角方向余弦矩阵正交规范化计算，优化了四元数初始提取算法。
Meanwhile, the paper advances the corresponding estimation arithmetic of the coupling and coupled frequency pairs in quaternion domain.
构造了合适的基于四元数的二维谐波模型，并根据此模型定义了特殊的四阶累积量切片，分析了加性高斯在有色噪声中的二维三次非线性相位耦合。
And by it, we turn linear matrix equation over quaternion field into linear equations over a number field, and obtain normal solutions of this kind of equation.
得到四元数乘积的一个弱可交换律，并利用它将四元数体上线性矩阵方程转化为数域上的线性方程组，给出此类方程的一般解法。
On this paper it is, give the necessary and sufficient condition of sub-positive definite matrix for sum, product, direct product and circular product of the quaternion matrices.
摘要给出了四元数矩阵的和、乘积、直积与圈积为亚正定矩阵的充要条件。
MATLAB simulation shows that the quaternion makes the calculation and control of spherical motor simple, motor rotates along the given trajectory, and it is an efficient method.
MATLAB仿真表明，利用四元数的数学工具简化了球形电机的计算与控制过程，可以使电机按预定轨迹转动，是一种行之有效的方法。