V. Shapiro, On some relations be- tween the derivative and the two-dimensional directional derivatives of a quaternionic function. AIP Conference Procedings, 936, 2007, 758-760.M.E. Luna-Elizarrar´as, M.A. Mac´ias-Ceden˜o, M. V. Shapiro, On some relations be- tween the ...
If in the Lagrangian of the field partial derivative of [[psi].sub.a] is changed to "covariant" one Yang-Mills field from quaternion space geometry, and its Klein-Gordon representation Taking the partial derivatives of the cutoff productivity with respect to t and [mu], we find. Making fri...
The multi-sensor fusion algorithms have been widely researched because they take advantage of the complementing qualities of sensor data. Li et al. used a multi-layer quality control strategy to reduce the positioning error of the fusion algorithm, which is based on the interaction of different te...
The multi-sensor fusion algorithms have been widely researched because they take advantage of the complementing qualities of sensor data. Li et al. used a multi-layer quality control strategy to reduce the positioning error of the fusion algorithm, which is based on the interaction of different te...
A compact differential formula for the first derivative of a unit quaternion curve. To appear in J. of Visualization and Computer Animation (1995). [10] KIM, M.-J., KIM, M.-S., AND SHIN, S. A C2-continuous B- spline quaternion curve interpolating a given sequenceof solid orientatio...
A CORRESPONDING VECTORIAL FORM OF DERIVATIVE OF BIQUATERNIONIC FUNCTIONSJi Eun KimAnnals: Series on Mathematics & its Applications
Quaternion-based Nonlinear MPC for Quadrotor’s Trajectory Tracking and Obstacles Avoidance. In Proceedings of the International Conference on Advanced Electrical Engineering (ICAEE), Constantine, Algeria, 29–31 October 2022; pp. 1–6. [Google Scholar] Valencia, D.; Kim, D. Quadrotor Obstacle ...
Therefore, in this study, we examine the definition of quaternions and define the step derivative in the direction of a generalized quaternion basis including a complex basis. We find that the step derivative based on the definition of a quaternion has a relative error in some domains; however,...
The current paper proposes that derivatives of holomorphic functions can be calculated in a similar fashion by taking a small step in a quaternionic direction instead. It is demonstrated that in so doing the CSD properties of high accuracy and convergence are carried over to derivatives of ...