Results 11 to 20 of about 2,080 (316)
Communications in Advanced Mathematical Sciences, 2020 In this paper, dual Jacobsthal quaternions were defined. Also, the relations between dual Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers were investigated. Furthermore, Binet's formula, Honsberger identity, D'ocagne'
Fügen Torunbalcı Aydın
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Generalized dual Fibonacci quaternions with dual coefficient
, 2018 In this paper, we defined the generalized dual Fibonacci quaternions with dual coefficient. Also, we investigated the relations between the generalized dual Fibonacci quaternions with dual coefficient.
Torunbalcı Aydın, Fügen
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Dual Quaternions and Dual Quaternionic Curves [PDF]
Filomat, 2019 After a brief review of the different types of quaternions, we develop a new perspective for dual quaternions with dividing two parts. Due to this new perspective, we will define the isotropic and non-isotropic dual quaternions.
Dağdeviren, Ali, Yüce, Salim
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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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Kinematic-Model-Free Orientation Control for Robot Manipulation Using Locally Weighted Dual Quaternions [PDF]
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 ...
Ahmad AlAttar, Petar Kormushev
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3D kinematics using dual quaternions: theory and applications in neuroscience [PDF]
Frontiers in Behavioral Neuroscience, 2013 In behavioral neuroscience, many experiments are developed in 1 or 2 spatialdimensions, but when scientists tackle problems in 3-dimensions (3D), theyoften face problems or new challenges. Results obtained for lower dimensionsare not always extendable in
Guillaume eLeclercq +5 more
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Dual Quaternions as Constraints in 4D-DPM Models for Pose Estimation [PDF]
Sensors, 2017 The goal of this research work is to improve the accuracy of human pose estimation using the Deformation Part Model (DPM) without increasing computational complexity.
Enrique Martinez-Berti +2 more
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Relative Orientation Dependent on Dual Quaternions
Photogrammetric Record, 2015 A new approach to relative orientation based on dual quaternions is proposed. Dual quaternions are used to express a unified description of the relative position and orientation of two images in a stereopair.
Sheng, QH +6 more
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CoRR, 2023 Over the past few years, the applications of dual-quaternions have not only developed in many different directions but has also evolved in exciting ways in several areas.
Kenwright, Benjamin
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Analytical Solution for Inverse Kinematics Using Dual Quaternions [PDF]
IEEE Access, 2019 This paper presents a new solution for inverse kinematics (IK) by using dual quaternions (DQ) as operators and combining them with the Paden-Kahan subproblem to determine the analytical solution.
Ping-Feng Lin +2 more
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