Dual transformations and quaternions
| dc.contributor.author | Yüca, Gülsüm | |
| dc.contributor.author | Yaylı, Yusuf | |
| dc.date.accessioned | 2021-07-05T08:53:12Z | |
| dc.date.available | 2021-07-05T08:53:12Z | |
| dc.date.issued | 2021 | |
| dc.department | Sabire Yazıcı Fen Edebiyat Fakültesi | |
| dc.description | *Yüca, Gülsüm ( Aksaray, Yazar ) | |
| dc.description.abstract | 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. | |
| dc.identifier.doi | 10.1002/mma.7459 | |
| dc.identifier.endpage | - | en_US |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issue | - | en_US |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | - | en_US |
| dc.identifier.uri | https:/dx.doi.org/10.1002/mma.7459 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/8316 | |
| dc.identifier.volume | - | en_US |
| dc.identifier.wos | WOS:000651195100001 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | John Wiley and Sons Ltd | |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/embargoedAccess | |
| dc.subject | Dual Quaternion | |
| dc.subject | Dual Transformation | |
| dc.subject | Kinematics | |
| dc.subject | Lorentzian Space | |
| dc.subject | Quaternion | |
| dc.subject | Rotation Matrix | |
| dc.title | Dual transformations and quaternions | |
| dc.type | Article |
