Analytical dual quaternion algorithm of the weighted three-dimensional coordinate transformation

Analytical dual quaternion algorithm of the weighted three-dimensional coordinate transformation

Abstract Considering that a unit dual quaternion can describe elegantly the rigid transformation including rotation and translation, the point-wise weighted 3D coordinate transformation using a unit dual quaternion is formulated. The constructed transformation model by a unit dual quaternion does no...

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Bibliographic Details
Main Authors: Huaien Zeng, Junjie Wang, Zhihao Wang, Siyang Li, Haiqing He, Guobin Chang, Ronghua Yang
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Earth, Planets and Space
Subjects:
Weighted three-dimensional coordinate transformation
Dual quaternion
Analytical dual quaternion algorithm (ADQA)
Modified procrustes algorithm (MPA)
Orthonormal Matrix Algorithm (OMA)
Transformation accuracy
Online Access:https://doi.org/10.1186/s40623-022-01731-1

Internet

https://doi.org/10.1186/s40623-022-01731-1

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