Obtaining Triplet from Quaternions

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 dimen...

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Bibliographic Details
Main Authors: Ali Atasoy, Yusuf Yaylı
Format: Article
Language:English
Published: Balikesir University 2021-01-01
Series:An International Journal of Optimization and Control: Theories & Applications
Online Access:http://www.ijocta.org/index.php/files/article/view/855
Description
Summary: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 work is made 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 work easier. This simplicity is achieved by obtaining triplets from quaternions.
ISSN:2146-0957
2146-5703