Results 11 to 20 of about 1,636 (288)
A dual quaternion algorithm of the Helmert transformation problem
Earth, Planets and Space, 2018 Rigid transformation including rotation and translation can be elegantly represented by a unit dual quaternion. Thus, a non-differential model of the Helmert transformation (3D seven-parameter similarity transformation) is established based on unit dual ...
Huaien Zeng +3 more
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On Rayleigh Quotient Iteration for the Dual Quaternion Hermitian Eigenvalue Problem
MathematicsThe application of eigenvalue theory to dual quaternion Hermitian matrices holds significance in the realm of multi-agent formation control. In this paper, we study the use of Rayleigh quotient iteration (RQI) for solving the right eigenpairs of dual ...
Shan-Qi Duan +2 more
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Dynamic Parameters Identification of Serial Robot Based on Dual Quaternion
Applied SciencesThis paper studies the dynamic parameters identification problem of load and linkages of a serial robot in the presence of model uncertainty. The dynamic parameters of load and linkages of a serial robot have been identified through a combination ...
Guozhi Li +4 more
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Kinematics Modeling and Analysis of Manipulator based on Dual Quaternion
Jixie chuandong, 2018 To simplify the kinematics expression and to increase the motion response speed for manipulators,a kinematics modeling method is proposed based on dual quaternion. First,to reduce the computational amount,the general equation of the forward kinematics of
葛为民 +3 more
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IEEE Access, 2022 We propose a novel neural network architecture based on dual quaternions which allow for a compact representation of information with a main focus on describing rigid body movements.
Johannes Poppelbaum, Andreas Schwung
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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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Applied Sciences, 2023 Kinematic modeling is essential for planning and controlling continuum robot motion. The traditional Denavit Hartenberg (DH) model involves complex matrix multiplication operations, resulting in computationally intensive inverse solutions and trajectory ...
Yunfei Li, Qiuhao Wang, Qian Liu
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Dual Quaternion Visual Servo Control. [PDF]
Proc IEEE Conf Decis Control, 2020 This paper focuses on a dual quaternion-based estimation and control approach for position-based visual servoing (PBVS). The pose estimation of the camera is achieved using a dual quaternion-based Extended Kalman Filter (EKF), which estimates the position and orientation of the camera based on feature points acquired through a sequence of camera images.
Saltus R, Salehi I, Rotithor G, Dani AP.
europepmc +4 more sources
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 nonisotropic dual quaternions. Then we will also give the basic algebraic concepts about the dual quaternions. Moreover, we define isotropic dual
Dagdeviren, Ali, Yuce, Salim
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Skinning with dual quaternions [PDF]
Proceedings of the 2007 symposium on Interactive 3D graphics and games, 2007 Skinning of skeletally deformable models is extensively used for real-time animation of characters, creatures and similar objects. The standard solution, linear blend skinning, has some serious drawbacks that require artist intervention. Therefore, a number of alternatives have been proposed in recent years.
Ladislav Kavan +3 more
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