Obtaining triplet from quaternions

Creative Commons License

Atasoy A., YAYLI Y.

International Journal of Optimization and Control: Theories and Applications, cilt.11, sa.1, ss.109-113, 2021 (ESCI) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.11121/ijocta.01.2021.00855
  • Dergi Adı: International Journal of Optimization and Control: Theories and Applications
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Communication Abstracts, zbMATH, Directory of Open Access Journals, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.109-113
  • Anahtar Kelimeler: Dual quaternion, Real quaternion, Triplet, Rotation, Screw operator
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2021 Balikesir University. All rights reserved.In this study, we obtain triplets from quaternions. First, we obtain triplets from real quaternions. Then, as an application of this, we obtain dual triplets from the dual quaternions. Quaternions, in many areas, it allows ease in calculations and geometric representation. Quaternions are four dimensions. The triplets are in three dimensions. When we express quaternions with triplets, our study is conducted even easier. Quaternions are very important in the display of rotational movements. Dual quaternions are important in the expression of screw movements. Reducing movements from four dimensions to three dimensions makes our study easier. This simplicity is achieved by obtaining triplets from quaternions.