quaternions

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网络  四元法; 四元数; 四元除环; 四元数法

双语例句

• The conversion relationship of inertial tensor matrix under the conditions of gyration and aclinic shift of coordinate system for catastrophic structure vehicle is derived, and the same formal structure matrix is expressed by using matrix of quaternions product.
  用四元数和与四元数乘积的矩阵表示形式结构相似的矩阵，针对结构突变飞行器固连坐标系有平动和转动的情况，推导了惯性张量矩阵的变换关系。
• The designs of hardwares and softwares are discussed and the real time attitude and navigation algorithms based on quaternions are given.
  文中叙述了硬软件设计过程及系统特点，给出了基于四元数的姿态及导航实时算法。
• The criterion of equality of two quaternions is that their scalar parts shall be equal.
  两个四元数相等的准则是，它们的数量部分相等。
• In this paper, we study proper norms of the quaternions and give the forms which fit for the kernel dimensions of 1,2 or 3.They are the generalized forms of complex numbers, and we give some better results.
  讨论了四元数中的真半范数，并给出了它的一般形式，它适合核维数分别为1,2,3的情形，推广了复数域中的真半范数的一般形式，给出了一个较好的结果。
• Quaternions are used to represent rotations.
  四元数用于表示旋转。
• The transition matrix of this filter uses equivalent rotation vector based on quaternions to calculate the attitude, which can avoid the singularity problem of Euler angles and suppress the noncommutativity error.
  此滤波器的状态转移阵利用基于四元数的等效旋转矢量来计算姿态。等效旋转矢量法可以避免欧拉角的奇异问题，并能有效抑制不可交换误差。
• To solve the problem, in this paper one made use of dual quaternions to study the integrated kinematics and dynamics modeling and control methods for spacecraft attitude and orbit motion.
  针对这一问题，本文研究了基于对偶四元数的航天器姿态轨道一体化运动学与动力学建模与控制方法。
• An adaptive control approach based on quaternions for the spacecraft with reaction wheels was proposed.
  文中针对飞轮控制航天器提出了一种基于四元数的自适应控制方法。
• Only the bone data needs to be stored for every frame of the animation. Usually, the bone data is represented by quaternions.
  存储动画帧我们仅仅需要骨胳的数据。通常，骨胳数据由四元数表示。
• It is not easy to study quaternion algebra problems because of the non-commutative multiplication of quaternions.
  由于四元数乘法的不可交换性，造成了对四元数代数问题研究的困难。