A dual quaternion algorithm of the Helmert transformation problem

A dual quaternion algorithm of the Helmert transformation problem

Abstract Rigid transformation including rotation and translation can be elegantly represented by a unit dual quaternion. Thus, a non-differential model of the Helmert transformation (3D seven-parameter similarity transformation) is established based on unit dual quaternion. This paper presents a rig...

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Bibliographic Details
Main Authors: Huaien Zeng, Xing Fang, Guobin Chang, Ronghua Yang
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:Earth, Planets and Space
Subjects:
Helmert transformation
Dual quaternion
Dual quaternion algorithm (QDA)
Initial value of scale
Point-wise weight
Procrustes algorithm
Online Access:http://link.springer.com/article/10.1186/s40623-018-0792-x

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http://link.springer.com/article/10.1186/s40623-018-0792-x

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