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Full-body rotation measurements of micro-sized curved fibers in turbulence

Caridi GCA, Giurgiu V, De Paoli M, Soldati A.   +3 more
europepmc   +1 more source

Dual Quaternions and Dual Quaternion Vectors

Communications on Applied Mathematics and Computation, 2021
We introduce a total order and an absolute value function for dual numbers. The absolute value function of dual numbers takes dual number values, and has properties similar to those of the absolute value function of real numbers.
L. Qi, C. Ling, Hong Yan
semanticscholar   +3 more sources

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A Quasi-Newton Quaternions Calibration Method for DVL Error Aided GNSS

IEEE Transactions on Vehicular Technology, 2021
Doppler Velocity Logs (DVL) is an important information source for underwater vehicle navigation because it can provide accurate velocity information. As the main system, SINS/DVL integrated navigation is widely used in the underwater vehicle.
Di Wang, Xiaosu Xu, Yang Yang, Tao Zhang
semanticscholar   +1 more source

Robust and efficient forward, differential, and inverse kinematics using dual quaternions

Int. J. Robotics Res., 2020
Modern approaches for robot kinematics employ the product of exponentials formulation, represented using homogeneous transformation matrices. Quaternions over dual numbers are an established alternative representation; however, their use presents certain
Neil T. Dantam
semanticscholar   +1 more source