Results 11 to 20 of about 922,599 (271)

A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients [PDF]

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 ...
Fatih Yilmaz, Emel Karaca
exaly   +7 more sources

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.
Carlos Ricolfe-Viala, Antonio José Sanchez Salmeron   +1 more
exaly   +4 more sources

A Review on the Applications of Dual Quaternions

Machines
This work explores dual quaternions and their applications. First, a theoretical construction begins at dual numbers, extends to dual vectors, and culminates in dual quaternions.
Daniel Martins, João Gutemberg Farias
exaly   +4 more sources

Investigating generalized quaternions with dual-generalized complex numbers [PDF]

Mathematica Bohemica, 2023
We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values $\alpha$, $\beta$ and $\mathfrak{p}$.
Nurten Gürses, Gülsüm Yeliz Şentürk, Salim Yüce   +2 more
doaj   +3 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
openaire   +6 more sources

Dual Jacobsthal Quaternions

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
doaj   +5 more sources

A Survey on Dual-Quaternions [PDF]

CoRR, 2023
arXiv admin note: text overlap with arXiv:2303 ...
Kenwright, Benjamin
core   +5 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, Çiğdem Zeynep Yılmaz   +1 more
doaj   +2 more sources

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.
openaire   +5 more sources

3D kinematics using dual quaternions: theory and applications in neuroscience. [PDF]

Front Behav Neurosci, 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
Leclercq G, Lefèvre P, Blohm G.
europepmc   +2 more sources