Results 21 to 30 of about 10,739 (275)
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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Dual Fibonacci Quaternions [PDF]
Advances in Applied Clifford Algebras, 2014 In this study, we define the dual Fibonacci quaternion and the dual Lucas quternion. We derive the relations between the dual Fibonacci and the dual Lucas quaternion which connected the Fibonacci and the Lucas numbers. Furthermore, we give the Binet and Cassini formulas for these quaternions.
Nurkan, Semra Kaya, Güven İ.A.
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On a generalization of dual-generalized complex Fibonacci quaternions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this study, we introduce a new class of generalized quaternions whose components are dual-generalized complex Horadam numbers. We investigate some algebraic properties of them.
Elif Tan, Umut Öcal
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Construction of dual-generalized complex Fibonacci and Lucas quaternions
Karpatsʹkì Matematičnì Publìkacìï, 2022 The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (
G.Y. Şentürk, N. Gürses, S. Yüce
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On the dual quaternion geometry of screw motions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, the screw motions are studied using dual quaternions with the help of di erent perspectives. Firstly, orthogonality definition of dual quaternions is given and geometric interpretation of orthogonality condition is made.
Erişir Tülay +3 more
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Dual Attitude Representations and Kinematics for Six-Degree-of-Freedom Spacecraft Dynamics
IEEE Access, 2023 This paper focuses on the development of three newly formed representations of dual attitude and their respective kinematics equations - Dual Classical Rodrigues Parameters, Dual Modified Rodrigues Parameters, Dual Principal Axis and Principal Angle ...
Kyl S. Stanfield, Ahmad Bani Younes
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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.
Kavan, Ladislav +3 more
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Dual Quaternions for the Kinematic Description of a Fish–Like Propulsion System
International Journal of Applied Mathematics and Computer Science, 2023 This study discusses the use of quaternions and dual quaternions in the description of artificial fish kinematics. The investigation offered here illustrates quaternion and dual quaternion algebra, as well as its implementation in the software chosen ...
Kitowski Zygmunt +2 more
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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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Robust hybrid global asymptotic stabilization of rigid body dynamics using dual quaternions [PDF]
, 2018 A hybrid feedback control scheme is proposed for stabilization of rigid body dynamics (pose and velocities) using unit dual quaternions, in which the dual quaternions and veloc- ities are used for feedback.
Butcher, EA, Malladi, BP, Sanfelice, RG
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