Results 11 to 20 of about 10,739 (275)
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
doaj +2 more sources
Mathematics, 2020 This paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two ...
Emel Karaca +2 more
doaj +3 more sources
Spacecraft Robot Kinematics Using Dual Quaternions
Robotics, 2018 In recent years, there has been a growing interest in servicing orbiting satellites. In most cases, in-orbit servicing relies on the use of spacecraft-mounted robotic manipulators to carry out complicated mission objectives.
Alfredo Valverde, Panagiotis Tsiotras
doaj +3 more sources
A Review on the Applications of Dual Quaternions
MachinesThis work explores dual quaternions and their applications. First, a theoretical construction begins at dual numbers, extends to dual vectors, and culminates in dual quaternions.
João Gutemberg Farias +2 more
doaj +3 more sources
Approaching Dual Quaternions From Matrix Algebra [PDF]
IEEE Transactions on Robotics, 2014 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. Unfortunately, the combination of quaternions and dual numbers seem quite abstract and somewhat arbitrary when approached for the first time.
Federico Thomas
openaire +6 more sources
Analytical Solution for Inverse Kinematics Using Dual Quaternions
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
doaj +3 more sources
Hyper-dual Horadam quaternions [PDF]
Miskolc Mathematical Notes, 2021 This paper deals with developing a new class of quaternions, called hyper-dual Horadam quaternions which are constructed from the quaternions whose components are hyper-dual Horadam numbers. We investigate the algebraic properties of these quaternions.
Ait-Amrane, N. Rosa +2 more
openaire +2 more sources
On Dual Quaternions with $k-$Generalized Leonardo Components
Journal of New Theory, 2023 In this paper, we define a one-parameter generalization of Leonardo dual quaternions, namely $k-$generalized Leonardo-like dual quaternions. We introduce the properties of $k$-generalized Leonardo-like dual quaternions, including relations with Leonardo,
Gülsüm Yeliz Saçlı +1 more
doaj +1 more source
Application of slice regularity to functions of a dual-quaternionic variable
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, we present the algebraic properties of dual quaternions and define a slice regularity of a dual quaternionic function. Since the product of dual quaternions is non-commutative, slice regularity is derived in two ways.
Ji Eun Kim
doaj +1 more source
Dual Quaternions and Dual Quaternion Vectors
Communications on Applied Mathematics and Computation, 2022 We introduce a total order and the absolute value function for dual numbers. The absolute value function of dual numbers are with dual number values, and have properties similar to the properties of the absolute value function of real numbers. We define the magnitude of a dual quaternion, as a dual number.
Liqun Qi, Chen Ling, Hong Yan
openaire +2 more sources