Dual-quaternion-based iterative algorithm of the three dimensional coordinate transformation

Abstract Nowadays a unit quaternion is widely employed to represent the three-dimensional (3D) rotation matrix and then applied to the 3D similarity coordinate transformation. A unit dual quaternion can describe not only the 3D rotation matrix but also the translation vector meanwhile. Thus it is of...

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Bibliographic Details
Main Authors: Huaien Zeng, Zhihao Wang, Junfeng Li, Siyang Li, Junjie Wang, Xi Li
Format: Article
Language:English
Published: SpringerOpen 2024-01-01
Series:Earth, Planets and Space
Subjects:
Online Access:https://doi.org/10.1186/s40623-024-01967-z