Dual transformations and quaternions
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Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
John Wiley and Sons Ltd
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
In this study, we are interested in the way quaternions to represent 3D and 4D rotations in Lorentzian space. We give a new method for obtaining a rotation matrix in Lorentzian space with the help of a unit quaternion. Furthermore, we prove that rotation matrices correspond to a quaternion leave invariant the same axis in Euclidean and Lorentzian space. Then, we introduce a semi-orthogonal matrix representation of a quaternion curve in 4D space. Moreover, we provide applications and draw their figures to explore visual representations. Finally, due to the importance of the dual space in kinematics, robotics, and other areas related, we carry this work into their dual spaces by using a dual quaternion.
Açıklama
*Yüca, Gülsüm ( Aksaray, Yazar )
Anahtar Kelimeler
Dual Quaternion, Dual Transformation, Kinematics, Lorentzian Space, Quaternion, Rotation Matrix
Kaynak
Mathematical Methods in the Applied Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
-
Sayı
-
