• 采用元数描述刚体姿态系统

    Quaternions are used to describe the attitude of the rigid body system in this paper.

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  • 介绍了四元数法基本原理及其联系统中的

    The basic theory and the usage of quaternion are also been introduced.

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  • 解决欧拉方程奇异性四元数进行了对比研究

    This paper studies comparatively dual Euler method and quaternion method which are used for the solution of the singularity of the Euler equation.

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  • 因此,对于解决欧拉方程奇异来讲,优于四元数法

    So, dual Euler method is better than quaternion method in the solution of the singularity of the Euler equation.

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  • 研究了基于四元数法载体姿态载体的位置速度

    The formulas of system posture algorithm, Speed Calculation and Position Calculation are studied.

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  • 通过元数法欧拉描述飞行器姿态建立相应运动学方程

    The attitudes of vehicle are described by both quaternion and Euler angles, and two kinds of motion equations are established accordingly.

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  • 元数理论上讲比较完美,实际应用存在较大的累积计算误差,从而影响计算精度

    Quaternion method is good in theory, but it has increasing error in calculation. Therefore it is not accurate.

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  • 为了获取采用四元数法进行事后据解算时,所需要精确初始姿态确定了事后速度匹配传递对准方案

    Established the scheme of 'velocity' matching transfer alignment after experiment, in order to obtain accurate initiation attitude matrix.

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  • 论文对偶元数法应用物体识别匹配中,利用最小二乘的思想提出了一种基于迭代最近的匹配算

    Last, we apply the dual quaternion algorithm to matching algorithm of 3d object recognition and make use of least-squares technique to propose a matching method based on iterative closest point.

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  • 元数法等效转动矢量滚转弹姿态解算精度进行比较,并通过打击机动目标仿真试验验证了姿态解算精度对制导精度的影响。

    This paper introduces the principle of fiber optic gyro, studies the attitude algorithm of fiber optic gyro ship attitude system, introduces the quaternion algorithm and rotation vector algorithm.

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  • 高斯-牛顿误差最小六维观测量转化元数作为观测量一部分,显著减少了直接使用EKF计算量。

    Gauss-Newton error minimization is used to transform six-dimentional reference vector to quaternion as a part of observations for EKF, which significantly reduces the computational requirement.

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  • 当然可能会用到元数转换的“常规表示

    Of course, you'll also need to be able to convert from "conventional" representations to quaternions.

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  • 采用最小求解微分方程优化四元数实时更新

    When optimizing synchro update of the quaternion, the quaternion differential equation is calculated by using minimum parametric method.

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  • 使用元数避免欧拉奇异问题

    Quaternion is used rather than Eular angles to avoid the problem of singularity.

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  • 文中表明元数证明定理矢量更为简单。

    The paper shows that the method of proving the commutative property of composition for the finite rotations by quaternions is simpler than that by vectors.

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  • 用文中提出的体绘制绘制四元构造三维M集。

    Finally, the 3-d M-sets generated by the ternary number and quaternion algebra are both rendered by our new algorithm.

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  • 用文中提出的体绘制绘制四元构造三维M集。

    Finally, the 3-d M-sets generated by the ternary number and quaternion algebra are both rendered by our new algorithm.

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