Results 1 to 10 of about 1,636 (288)
Dual-Quaternion Analytic LQR Control Design for Spacecraft Proximity Operations [PDF]
Sensors, 2021 Proximity operations offer aggregate capability for a spacecraft operating in close proximity to another spacecraft, to perform on-orbit satellite servicing, or to a space object to perform debris removal. To utilize a spacecraft performing such advanced
Kyl Stanfield, Ahmad Bani Younes
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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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Compact Dual-Quaternion-Based Visual Servoing for Perpendicular Alignment with Surface Normal Constraints [PDF]
SensorsThe ability to reliably press physical buttons is a common requirement in robotics. Conventional vision-based methods often suffer from positional errors during execution if the end-effector’s approach is not perpendicular to the target surface.
Sheng Li +3 more
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Fixed-time regulation of spacecraft orbit and attitude coordination with optimal actuation allocation using dual quaternion [PDF]
Frontiers in Robotics and AI, 2023 On-orbit service spacecraft with redundant actuators need to overcome orbital and attitude coupling when performing proximity maneuvers. In addition, transient/steady-state performance is required to fulfill the user-defined requirements.
Lichao Sun +6 more
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Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2010 Summary: Serret-Frenet and parallel-transport frame are produced with the help of reel quaternions again by \textit{A. J. Hanson} [Quaternion Frenet frames: making optimal tubes and ribbons from curves (1994)]. In this study, calculations mentioned above are applied to dual quaternions and the Serret-Frenet and parallel-transport frame are obtained by ...
ÖZTÜRK, Ufuk +3 more
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Dual-Quaternion Julia Fractals
, 2023 Fractals offer the ability to generate fascinating geometric shapes with all sorts of unique characteristics (for instance, fractal geometry provides a basis for modelling infinite detail found in nature). While fractals are non-euclidean mathematical objects which possess an assortment of properties (e.g., attractivity and symmetry), they are also ...
Kenwright, Ben
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Dual Quaternion Involutions and Anti-Involutions [PDF]
Advances in Applied Clifford Algebras, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bekar, MURAT, Yayi, Yusuf
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IMU Signal Generator Based on Dual Quaternion Interpolation for Integration Simulation [PDF]
Sensors, 2018 This paper focuses on the problem of high-update-rate and high accuracy inertial measurement unit signal generation. In order to be in accordance with the vehicle’s kinematic and dynamic characteristics as well as the characteristics of pseudorange
Ke Liu, Wenqi Wu, Kanghua Tang, Lei He
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THE CORRESPONDING CAUCHY - RIEMANN SYSTEM FOR DUAL QUATERNION-VALUED FUNCTIONS
Проблемы анализа, 2018 This paper provides differential operators in dual quaternions and represents the regularity of dual quaternionvalued functions using the dual Cauchy - Riemann system in dual quaternions.
Kim J.E.
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Dual Quaternion Knowledge Graph Embeddings
Proceedings of the AAAI Conference on Artificial Intelligence, 2021 In this paper, we study the problem of learning representations of entities and relations in the knowledge graph for the link prediction task. Our idea is based on the observation that the vast majority of the related work only models the relation as a single geometric operation such as translation or rotation, which limits the representation power of ...
Zongsheng Cao +4 more
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