Results 41 to 50 of about 922,599 (271)
Pose-Following with Dual Quaternions
2023 62nd IEEE Conference on Decision and Control (CDC), 2023 This work focuses on pose-following, a variant of path-following in which the goal is to steer the system's position and attitude along a path with a moving frame attached to it. Full body motion control, while accounting for the additional freedom to self-regulate the progress along the path, is an appealing trade-off.
Jon Arrizabalaga, Markus Ryll
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Using Lie Derivatives with Dual Quaternions for Parallel Robots
Machines, 2023 We introduce the notion of the Lie derivative in the context of dual quaternions that represent rigid motions and twists. First we define the wrench in terms of dual quaternions.
Stephen Montgomery-Smith, Cecil Shy
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Approaching dual quaternions from matrix algebra [PDF]
, 2016 Dual quaternions give a neat and succinct way to encapsulate both translations and rotations into a unified representation that can easily be concatenated and interpolated.
Thomas, Federico
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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 Quaternions for Rigid Transformation Blending
Quaternions have been a popular tool in 3D computer graphics for more than 20 years. However, classical quaternions are restricted to the representation of rotations, whereas in graphical applications we typically work with rotation composed with ...
Kavan, L +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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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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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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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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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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