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 導(dǎo)出了兩個完全用四元數(shù)代數(shù)表達(dá)的誤差模型:加性對偶四元數(shù)誤差模型和乘性對偶四元數(shù)誤差模型。
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 .運(yùn)用對偶四元數(shù)代數(shù)重新詮釋捷聯(lián)式慣性導(dǎo)航的基本原理,得到了三個對偶四元數(shù)運(yùn)動學(xué)方程,其形式均與姿態(tài)四元數(shù)微分方程一致。
百科解釋
In mathematics, a quaternion algebra over a field F is a central simple algebra A over FSee Peirce. Associative algebras.