Results 31 to 40 of about 982,655 (280)
CoRR, 2023 Transformations in the field of computer graphics and geometry are one of the most important concepts for efficient manipulation and control of objects in 2-dimensional and 3-dimensional space. Transformations take many forms each with their advantages and disadvantages.
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Dual-Quaternion Analytic LQR Control Design for Spacecraft Proximity Operations
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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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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Padovan, Perrin and Pell-Padovan Dual Quaternions [PDF]
, 2023 In this present study, we intend to determine the Padovan, Perrin and Pell-Padovan dual quaternions with nonnegative and negative subscripts. In line with this purpose, we construct some new properties such as; special determinant equalities, new ...
İŞBİLİR, ZEHRA +3 more
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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 +3 more
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A Closed-Form Solution to Planar Feature-Based Registration of LiDAR Point Clouds
ISPRS International Journal of Geo-Information, 2021 Since pairwise registration is a necessary step for the seamless fusion of point clouds from neighboring stations, a closed-form solution to planar feature-based registration of LiDAR (Light Detection and Ranging) point clouds is proposed in this paper ...
Yongbo Wang, Nanshan Zheng, Zhengfu Bian
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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 transformations and quaternions
Mathematical Methods in the Applied Sciences, 2021 In this study, we are interested in the way quaternions to represent 3D and 4D rotations in Lorentzian space. We give a new method for obtaining a rotation matrix in Lorentzian space with the help of a unit quaternion. Furthermore, we prove that rotation matrices correspond to a quaternion leave invariant the same axis in Euclidean and Lorentzian space.
Gülsüm Yüca, Yusuf Yaylı
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Sensors, 2023 A distributed six-degree-of-freedom (6-DOF) cooperative control for multiple spacecraft formation is investigated considering parametric uncertainties, external disturbances, and time-varying communication delays.
Yu Zhang +4 more
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Modified Hand–Eye Calibration Using Dual Quaternions
Applied Sciences, 2022 This paper presents a modified model for hand–eye calibration based on dual quaternion algebra. By using dual quaternions to represent the rotations and translations of a rigid body simultaneously in the task space, the formulation is elegant for the ...
Guozhi Li +3 more
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