Results 31 to 40 of about 2,080 (316)

Robot Kinematics, using Dual Quaternions

, 2012
From the point of view of classical mechanics, deriving the equations of motion for systems of coupled rigid bodies is regarded as a straightforward procedure: once a suitable set of generalized coordinates and reference frames have been chosen, what ...
Brahim, Fernini, Ouali, Mohammed, Gouasmi, Mahmoud   +2 more
core   +2 more sources

Involutions in Dual Split-Quaternions

Advances in Applied Clifford Algebras, 2016
Involutions and anti-involutions are self-inverse linear mappings. In three-dimensional Euclidean space , a reflection of a vector in a plane can be represented by an involution or anti-involution mapping obtained by real-quaternions.
Yayli, Yusuf, Bekar, MURAT
core   +3 more sources

On Dual $$\varvec{k}$$ k -Pell Quaternions and Octonions

Mediterranean Journal of Mathematics, 2017
In this study, we define the dual k-Pell, the dual k-Pell-Lucas, and the dual modified k-Pell quaternions and octonions. We investigate some fundamental algebraic properties of these quaternions and octonions.
Paula Catarino, Paulo Vasco, Catarino Paula   +2 more
exaly   +3 more sources

Examination of generalized Tribonacci dual quaternions

, 2023
This manuscript deals with introducing and discussing of a new type dual quaternions which are named generalized Tribonacci dual quaternions (GTDQ, for short).
İŞBİLİR, Zehra, Gürses, Nurten, Guerses, Nurten   +2 more
core   +2 more sources

Exponential and Cayley Maps for Dual Quaternions [PDF]

Advances in Applied Clifford Algebras, 2010
In this work various maps between the space of twists and the space of finite screws are studied. Dual quaternions can be used to represent rigid-body motions, both finite screw motions and infinitesimal motions, called twists.
J M Selig, Selig J M
exaly   +2 more sources

A High-Precision Hand–Eye Coordination Localization Method under Convex Relaxation Optimization [PDF]

Sensors
Traditional switching operations require on-site work, and the high voltage generated by arc discharges can pose a risk of injury to the operator. Therefore, a combination of visual servo and robot control is used to localize the switching operation and ...
Jin Hua, Yuhang Su, Daxin Xin, Weidong Guo   +3 more
doaj   +2 more sources

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.
Ladislav Kavan, et al.
core   +3 more sources

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

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

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, Gok, Ismail, Tan, Elif   +2 more
openaire   +2 more sources