Dual-quaternion-based iterative algorithm of the three dimensional coordinate transformation
Huaien Zeng,
Zhihao Wang,
Junfeng Li
et al.
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 great potentiality to the 3D coordinate transformation. The paper constructs the 3D similarity coordinate transformation model based on the unit dual quaternion in the sense of errors-in-variables (EIV). By means of lineari… Show more
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