Dual quaternion representation of motor motion
Abstract
The dual quaternion algebra, introduced in the 19th century by Clifford, is used to effectively represent the algebraic structure of motor positions and displacements. In this study, by employing point–line and screw operators, the motor operator is formulated in a concise and computationally efficient way. A dual vector with a non-zero real part is employed to represent the endpoint position in the motor representation, serving as the basis for constructing the motor operator. In order to apply the motor motion (displacement) to the motor representation, which is considered as a rigid element, a special dual quaternion is used to create a motor operator. This new motor operator, which represents motor motion (displacement), provides both a different approach to motor algebra and ease and simplicity of operation.
Keywords
References
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Details
Primary Language
English
Subjects
Algebraic and Differential Geometry
Journal Section
Research Article
Publication Date
December 30, 2025
Submission Date
October 14, 2025
Acceptance Date
November 28, 2025
Published in Issue
Year 2025 Number: 063
APA
Kulu, A., & Ata, E. (2025). Dual quaternion representation of motor motion. Journal of Scientific Reports-A, 063, 53-69. https://doi.org/10.59313/jsr-a.1803611
AMA
1.Kulu A, Ata E. Dual quaternion representation of motor motion. JSR-A. 2025;(063):53-69. doi:10.59313/jsr-a.1803611
Chicago
Kulu, Azat, and Erhan Ata. 2025. “Dual Quaternion Representation of Motor Motion”. Journal of Scientific Reports-A, nos. 063: 53-69. https://doi.org/10.59313/jsr-a.1803611.
EndNote
Kulu A, Ata E (December 1, 2025) Dual quaternion representation of motor motion. Journal of Scientific Reports-A 063 53–69.
IEEE
[1]A. Kulu and E. Ata, “Dual quaternion representation of motor motion”, JSR-A, no. 063, pp. 53–69, Dec. 2025, doi: 10.59313/jsr-a.1803611.
ISNAD
Kulu, Azat - Ata, Erhan. “Dual Quaternion Representation of Motor Motion”. Journal of Scientific Reports-A. 063 (December 1, 2025): 53-69. https://doi.org/10.59313/jsr-a.1803611.
JAMA
1.Kulu A, Ata E. Dual quaternion representation of motor motion. JSR-A. 2025;:53–69.
MLA
Kulu, Azat, and Erhan Ata. “Dual Quaternion Representation of Motor Motion”. Journal of Scientific Reports-A, no. 063, Dec. 2025, pp. 53-69, doi:10.59313/jsr-a.1803611.
Vancouver
1.Azat Kulu, Erhan Ata. Dual quaternion representation of motor motion. JSR-A. 2025 Dec. 1;(063):53-69. doi:10.59313/jsr-a.1803611