Two new error models in terms of quaternion algebra are developed : the additive dual quaternion error model and multiplicative dual quaternion error model . both are expected to facilitate the future dual quaternion - based integrated navigation filter . 4 导出了两个完全用四元数代数表达的误差模型:加性对偶四元数误差模型和乘性对偶四元数误差模型。
1 . through reinterpreting the rationale of the strapdown inertial navigation in terms of dual quaternion algebra , we obtain three dual quaternion kinematic equations that take the same forms as the conventional attitude quaternion rate equation 1 .运用对偶四元数代数重新诠释捷联式惯性导航的基本原理,得到了三个对偶四元数运动学方程,其形式均与姿态四元数微分方程一致。
百科解释
In mathematics, a quaternion algebra over a field F is a central simple algebra A over FSee Peirce. Associative algebras.