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Dual Quaternion Functions and Its Applications [PDF]
Journal of Applied Mathematics, 2013 A dual quaternion is associated with two quaternions that have basis elements e0, e1, e2, e3, and ε. Dual numbers are often written in the form z=ζ+εζ*, where ε is the dual identity and has the properties ε2=0 (ε≠0).
Su Jin Lim, Kwang Ho Shon
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Robust Pose and Inertial Parameter Estimation of an Unknown Aircraft Based on Variational Bayesian Dual Vector Quaternion Extended Kalman Filter. [PDF]
Entropy (Basel)Accurately determining the parameters of an unmodeled spacecraft is crucial. Filtering methods that are resilient to uncertainty, employing dual quaternion frameworks to ascertain orientation and position, introduce a design for an extended Kalman filter
Xu S, Fang Y, Huang H.
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Advances in Mechanical Engineering, 2017 The robust parameter estimation of unknown space objects is essential to the on-orbit servicing missions. Based on the adaptive filtering techniques along with the dual quaternions modeling methods for pose estimation, this article proposes a dual vector
Xianghao Hou
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Dual third-order Jacobsthal quaternions [PDF]
Proyecciones (Antofagasta), 2018 In 2016, Yüce and Torunbalcı Aydın (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also, we investigated the relations between the dual third-order Jacobsthal quaternions and third-order Jacobsthal numbers.
Cerda-Morales, Gamaliel
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Spacecraft Robot Kinematics Using Dual Quaternions
Robotics, 2018 In recent years, there has been a growing interest in servicing orbiting satellites. In most cases, in-orbit servicing relies on the use of spacecraft-mounted robotic manipulators to carry out complicated mission objectives.
Panagiotis Tsiotras, Alfredo Valverde
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Robotics, 2020 Conventional control of robotic manipulators requires prior knowledge of their kinematic structure. Model-learning controllers have the advantage of being able to control robots without requiring a complete kinematic model and work well in less ...
Petar Kormushev, Ahmad Alattar
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A High-Precision Hand-Eye Coordination Localization Method under Convex Relaxation Optimization. [PDF]
Sensors (Basel)Traditional switching operations require on-site work, and the high voltage generated by arc discharges can pose a risk of injury to the operator. Therefore, a combination of visual servo and robot control is used to localize the switching operation and ...
Hua J, Su Y, Xin D, Guo W.
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On Dual Hyperbolic Narayana and Narayana-Lucas Hybrid Quaternions [PDF]
Universal Journal of Mathematics and ApplicationsIn this present communication, we introduce the novel concepts of dual hyperbolic Narayana quaternions and dual hyperbolic Narayana-Lucas quaternions within the framework of hybrid numbers.
Pankaj Kumar, Shilpa Kapoor
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Dual-Quaternions: Theory and Applications in Sound
CoRR, 2023 Sound is a fundamental and rich source of information; playing a key role in many areas from humanities and social sciences through to engineering and mathematics. Sound is more than just data 'signals'. It encapsulates physical, sensorial and emotional, as well as social, cultural and environmental factors.
Kenwright, Benjamin
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Dual Quaternions and Dual Quaternion Vectors
Communications on Applied Mathematics and Computation, 2022 We introduce a total order and the absolute value function for dual numbers. The absolute value function of dual numbers are with dual number values, and have properties similar to the properties of the absolute value function of real numbers. We define the magnitude of a dual quaternion, as a dual number.
Liqun Qi, Chen Ling, Hong Yan
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